Podcast
Questions and Answers
The work function of sodium, copper, and gold are 2.75 eV, 4.65 eV, and 5.1 eV, respectively. Considering visible light ranges from $4 \times 10^{14}$ Hz to $8 \times 10^{14}$ Hz, which material(s) can operate with visible light?
The work function of sodium, copper, and gold are 2.75 eV, 4.65 eV, and 5.1 eV, respectively. Considering visible light ranges from $4 \times 10^{14}$ Hz to $8 \times 10^{14}$ Hz, which material(s) can operate with visible light?
- All three materials
- Copper and gold
- None of the materials
- Sodium (correct)
If $E$ represents energy, $G$ gravitational constant, $I$ impulse, and $M$ mass, what physical quantity has the same dimensions as $\frac{GIM^2}{E^2}$?
If $E$ represents energy, $G$ gravitational constant, $I$ impulse, and $M$ mass, what physical quantity has the same dimensions as $\frac{GIM^2}{E^2}$?
- Time (correct)
- Mass
- Length
- Force
A force $\vec{F} = (3xy - 5z)\hat{j} + 4z\hat{k}$ is applied to a particle. Determine the work done by the force when the particle moves from point (0, 0, 0) to point (2, 4, 0) along the path $y = x^2$.
A force $\vec{F} = (3xy - 5z)\hat{j} + 4z\hat{k}$ is applied to a particle. Determine the work done by the force when the particle moves from point (0, 0, 0) to point (2, 4, 0) along the path $y = x^2$.
- $\frac{192}{5}$ J
- $\frac{280}{5}$ J
- $\frac{140}{5}$ J
- $\frac{232}{5}$ J (correct)
A soap bubble has a surface tension of $T$ and a surface charge density of $\sigma$. At what radius $R$ will the bubble burst?
A soap bubble has a surface tension of $T$ and a surface charge density of $\sigma$. At what radius $R$ will the bubble burst?
A long, straight wire with radius $a$ carries a steady current $i$ uniformly distributed across its cross-section. What is the ratio of the magnetic field at a distance of $a/2$ from the wire's center to the magnetic field at a distance of $2a$ from the center?
A long, straight wire with radius $a$ carries a steady current $i$ uniformly distributed across its cross-section. What is the ratio of the magnetic field at a distance of $a/2$ from the wire's center to the magnetic field at a distance of $2a$ from the center?
The primary and secondary coils of a transformer have 50 and 1500 turns, respectively. The magnetic flux $\phi$ linked with the primary coil is given by $\phi = \phi_0 + 4t$, where $\phi$ is in webers, $t$ is in seconds, and $\phi_0$ is a constant. If the output voltage across the secondary coil is equal to 60 kV, what is the value of $k$?
The primary and secondary coils of a transformer have 50 and 1500 turns, respectively. The magnetic flux $\phi$ linked with the primary coil is given by $\phi = \phi_0 + 4t$, where $\phi$ is in webers, $t$ is in seconds, and $\phi_0$ is a constant. If the output voltage across the secondary coil is equal to 60 kV, what is the value of $k$?
A solid sphere of mass $M$ and radius $R$ has a spherical cavity of radius $R/2$ such that the center of the cavity is at a distance $R/2$ from the center of the sphere. A point mass $m$ is placed inside the cavity at a distance $R/4$ from the center of the sphere. What is the magnitude of the gravitational force between the sphere and the point mass $m$?
A solid sphere of mass $M$ and radius $R$ has a spherical cavity of radius $R/2$ such that the center of the cavity is at a distance $R/2$ from the center of the sphere. A point mass $m$ is placed inside the cavity at a distance $R/4$ from the center of the sphere. What is the magnitude of the gravitational force between the sphere and the point mass $m$?
Statement 1: Two tuning forks having frequencies 410 Hz and 524 Hz are kept close and made to vibrate. Beats will not be heard.
Statement 2: Sound waves superimpose only when the frequencies of superposing waves are equal or nearly equal.
Statement 1: Two tuning forks having frequencies 410 Hz and 524 Hz are kept close and made to vibrate. Beats will not be heard. Statement 2: Sound waves superimpose only when the frequencies of superposing waves are equal or nearly equal.
A dipole with dipole moment $\vec{p} = 2\hat{i} - 3\hat{j} + 4\hat{k}$ is placed at point $A(2, -3, 1)$. Determine the electric potential due to this dipole at point $B(4, -1, 0)$, assuming all parameters are in SI units.
A dipole with dipole moment $\vec{p} = 2\hat{i} - 3\hat{j} + 4\hat{k}$ is placed at point $A(2, -3, 1)$. Determine the electric potential due to this dipole at point $B(4, -1, 0)$, assuming all parameters are in SI units.
The temperature of 5 moles of a gas at constant volume changes from $100^\circ C$ to $120^\circ C$. If the change in internal energy is 80 J, what is the total heat capacity of the gas at constant volume in J/K?
The temperature of 5 moles of a gas at constant volume changes from $100^\circ C$ to $120^\circ C$. If the change in internal energy is 80 J, what is the total heat capacity of the gas at constant volume in J/K?
The energy of a photon is equal to the kinetic energy of a proton. If $E$ is the energy of the photon, $\lambda_1$ is the de Broglie wavelength of the proton, and $\lambda_2$ is the wavelength of the photon, to what power of $E$ is the ratio $\frac{\lambda_1}{\lambda_2}$ proportional?
The energy of a photon is equal to the kinetic energy of a proton. If $E$ is the energy of the photon, $\lambda_1$ is the de Broglie wavelength of the proton, and $\lambda_2$ is the wavelength of the photon, to what power of $E$ is the ratio $\frac{\lambda_1}{\lambda_2}$ proportional?
A cyclic process ABCA is shown in a P-T diagram. Which of the following P-V diagrams corresponds to this process?
A cyclic process ABCA is shown in a P-T diagram. Which of the following P-V diagrams corresponds to this process?
Blocks A and B, each with a mass of 3 kg, collide perfectly elastically. Block A is moving at 2 m/s and Block B is connected to a 6 kg block C via a spring. Find the maximum energy stored in the spring after the collision.
Blocks A and B, each with a mass of 3 kg, collide perfectly elastically. Block A is moving at 2 m/s and Block B is connected to a 6 kg block C via a spring. Find the maximum energy stored in the spring after the collision.
In the circuit, what is the current through the 6V battery.
In the circuit, what is the current through the 6V battery.
A diffraction pattern is obtained using a beam of red light. What changes occur in the diffraction pattern if the red light is replaced by blue light.
A diffraction pattern is obtained using a beam of red light. What changes occur in the diffraction pattern if the red light is replaced by blue light.
A screw gauge gives the following reading when used to measure the diameter of a wire: Main scale reading = 0 mm, Circular scale reading = 52 divisions. Given that 1 mm on the main scale corresponds to 100 divisions on the circular scale. Calculate the diameter of the wire.
A screw gauge gives the following reading when used to measure the diameter of a wire: Main scale reading = 0 mm, Circular scale reading = 52 divisions. Given that 1 mm on the main scale corresponds to 100 divisions on the circular scale. Calculate the diameter of the wire.
Given an electromagnetic field varying with time by $\vec{B}$ and $\vec{E}$, a charge particle with mass $m$ and positive charge $q$ is given velocity $v_0\hat{i}$ at the origin at $t = 0,\text{sec}$. The field is defined piecewise. Find the value of $x + y$ for the point's coordinates on the xy-plane it first passes through after $t=0$ in the form $(\frac{xmv_0}{q} \sqrt{\frac{v_0}{E_0 B_0}}, \frac{ymv_0}{qB_0},0)$.
Given an electromagnetic field varying with time by $\vec{B}$ and $\vec{E}$, a charge particle with mass $m$ and positive charge $q$ is given velocity $v_0\hat{i}$ at the origin at $t = 0,\text{sec}$. The field is defined piecewise. Find the value of $x + y$ for the point's coordinates on the xy-plane it first passes through after $t=0$ in the form $(\frac{xmv_0}{q} \sqrt{\frac{v_0}{E_0 B_0}}, \frac{ymv_0}{qB_0},0)$.
A wheel of moment of inertia 2.5 Kg-m² has an initial angular velocity of 40 rads⁻¹. A constant torque of 10 Nm acts on the wheel. What is the time during which the wheel is accelerated to 60 rads⁻¹?
A wheel of moment of inertia 2.5 Kg-m² has an initial angular velocity of 40 rads⁻¹. A constant torque of 10 Nm acts on the wheel. What is the time during which the wheel is accelerated to 60 rads⁻¹?
A beaker contains water up to a height $h_1$ and kerosene of height $h_2$ above water so that the total height of (water +kerosene) is ($h_1$ + $h_2$). Refractive index of water is $\mu_1$ and that of kerosene is $\mu_2$. The apparent shift in the position of the bottom of the beaker when viewed from above is?
A beaker contains water up to a height $h_1$ and kerosene of height $h_2$ above water so that the total height of (water +kerosene) is ($h_1$ + $h_2$). Refractive index of water is $\mu_1$ and that of kerosene is $\mu_2$. The apparent shift in the position of the bottom of the beaker when viewed from above is?
The escape velocity of an object from a planet is 16kms⁻¹. If the escape velocity of the object from another planet having twice the density and three times the radius of the planet is $v\sqrt{2}$ ms⁻¹, then the value of $v$ is
The escape velocity of an object from a planet is 16kms⁻¹. If the escape velocity of the object from another planet having twice the density and three times the radius of the planet is $v\sqrt{2}$ ms⁻¹, then the value of $v$ is
What is the increasing order of $Ag^+$ ion concentration in: I. Saturated solution of AgCl, II. Saturated solution of AgI, III. 1M $Ag(NH_3)2^+$ in 0.1M $NH_3$, IV. 1M $Ag(CN)2^-$ in 0.1M KCN, Given: $K{sp}$ of AgCl = $1.0 \times 10^{-10}$, $K{sp}$ of AgI = $1.0 \times 10^{-16}$, $K_d$ of $Ag(NH_3)_2^+$ = $1.0 \times 10^{-8}$, $K_d$ of $Ag(CN)_2^-$ = $1.0 \times 10^{-21}$
What is the increasing order of $Ag^+$ ion concentration in: I. Saturated solution of AgCl, II. Saturated solution of AgI, III. 1M $Ag(NH_3)2^+$ in 0.1M $NH_3$, IV. 1M $Ag(CN)2^-$ in 0.1M KCN, Given: $K{sp}$ of AgCl = $1.0 \times 10^{-10}$, $K{sp}$ of AgI = $1.0 \times 10^{-16}$, $K_d$ of $Ag(NH_3)_2^+$ = $1.0 \times 10^{-8}$, $K_d$ of $Ag(CN)_2^-$ = $1.0 \times 10^{-21}$
Consider the following electronic configurations for some neutral atoms:
(I) $1s^2, 2s^2 2p^6, 3s^2$
(II) $1s^2, 2s^2 2p^6, 3s^1$
(III) $1s^2, 2s^2 2p^6, 3s^2 3p^2$
(IV) $1s^2, 2s^2 2p^6, 3s^2 3p^3$
Which of these atoms is expected to have the highest second ionization enthalpy?
Consider the following electronic configurations for some neutral atoms: (I) $1s^2, 2s^2 2p^6, 3s^2$ (II) $1s^2, 2s^2 2p^6, 3s^1$ (III) $1s^2, 2s^2 2p^6, 3s^2 3p^2$ (IV) $1s^2, 2s^2 2p^6, 3s^2 3p^3$ Which of these atoms is expected to have the highest second ionization enthalpy?
What is the correct method for the synthesis of the compound below from the given alternatives.
What is the correct method for the synthesis of the compound below from the given alternatives.
Choose the correct answer from among the following possibilities and select the correct code of your answer (Answer of questions 1, 2, 3, and 4 respectively).
- The most stable low valent halide: (1) $GeCl_2$ (2) $SnCl_2$ (3) $PbCl_2$
- A non-existing halide: (1) $SnCl_4$ (2) $PbCl_4$ (3) $PbI_4$
- A purely acidic oxide: (1) $PbO_2$ (2) $SnO_2$ (3) $SiO_2$
- Thermally most stable hydride: (1) $NH_3$ (2) $PH_3$ (3) $AsH_3$
Choose the correct answer from among the following possibilities and select the correct code of your answer (Answer of questions 1, 2, 3, and 4 respectively).
- The most stable low valent halide: (1) $GeCl_2$ (2) $SnCl_2$ (3) $PbCl_2$
- A non-existing halide: (1) $SnCl_4$ (2) $PbCl_4$ (3) $PbI_4$
- A purely acidic oxide: (1) $PbO_2$ (2) $SnO_2$ (3) $SiO_2$
- Thermally most stable hydride: (1) $NH_3$ (2) $PH_3$ (3) $AsH_3$
Which of the following is the correct order of bond order?
Which of the following is the correct order of bond order?
A sample of hydrogen atoms de-excites from the 6th excited state to the ground state in one or more electronic transitions. If there is no trace of Paschen or Brackett series lines, what is the maximum number of distinct photon energies possible?
A sample of hydrogen atoms de-excites from the 6th excited state to the ground state in one or more electronic transitions. If there is no trace of Paschen or Brackett series lines, what is the maximum number of distinct photon energies possible?
Which of the following statement is correct?
Which of the following statement is correct?
What is the product X if the reactant is aniline ($NH_2$) if reacted by the following reagents? Br2/HOH, NaNO2/HCl, HF/BF3 then heat
What is the product X if the reactant is aniline ($NH_2$) if reacted by the following reagents? Br2/HOH, NaNO2/HCl, HF/BF3 then heat
Match list I with list II and select the correct answer using the codes given below the lists.
List I (Pair of isomers)
(I) $[Co(NH_3)_6] [Cr(CN)_6]$
(II) $[Cr(NH_3)_6] [Co(CN)_6]$
(III) $[PrCl_2(NH_3)_4]Br_2$
(IV) $[PrBr_2(NH_3)_4] Cl_2$
(v) $[Co(SCN)(NH_3)_5] Cl_2$
(VI) $[Co(NCS) (NH_3)_5]Cl_2$
(VII) $[Cr_2(H_2O)_6]Cl_3]$
(viII) $[CrCl_2(H_2O)_4]Cl.2H_2O$
List II (Type of isomerism)
- Ionization, 2. Hydrate, 3. Coordination, 4. Geometrical, 5. Linkage isomerism
Match list I with list II and select the correct answer using the codes given below the lists. List I (Pair of isomers) (I) $[Co(NH_3)_6] [Cr(CN)_6]$ (II) $[Cr(NH_3)_6] [Co(CN)_6]$ (III) $[PrCl_2(NH_3)_4]Br_2$ (IV) $[PrBr_2(NH_3)_4] Cl_2$ (v) $[Co(SCN)(NH_3)_5] Cl_2$ (VI) $[Co(NCS) (NH_3)_5]Cl_2$ (VII) $[Cr_2(H_2O)_6]Cl_3]$ (viII) $[CrCl_2(H_2O)_4]Cl.2H_2O$ List II (Type of isomerism)
- Ionization, 2. Hydrate, 3. Coordination, 4. Geometrical, 5. Linkage isomerism
Rank the following molecules/ions by increasing s-character (in percentage) in their hybrid orbitals: (I) $CO_3^{2-}$ (II) $XeF_4$ (III) $I_3^-$ (IV) $NCl_3$ (V) $BeCl_2$
Rank the following molecules/ions by increasing s-character (in percentage) in their hybrid orbitals: (I) $CO_3^{2-}$ (II) $XeF_4$ (III) $I_3^-$ (IV) $NCl_3$ (V) $BeCl_2$
Identify the set of acidic oxides.
Identify the set of acidic oxides.
If enthalpy of hydrogenation of $C_6H_6 (l)$ into $C_6H_{12} (l)$ is -205 kJ and resonance energy of $C_6H_6 (l)$ is -152 kJ $mol^{-1}$ then what is the enthalpy of hydrogenation of cyclohexene to cyclohexane?
If enthalpy of hydrogenation of $C_6H_6 (l)$ into $C_6H_{12} (l)$ is -205 kJ and resonance energy of $C_6H_6 (l)$ is -152 kJ $mol^{-1}$ then what is the enthalpy of hydrogenation of cyclohexene to cyclohexane?
Assertion: La (Z = 57) belongs to the d-block and is an element of group 3 of the periodic table. Reason: All Lanthanoids belong to the group 3 of the periodic table.
Assertion: La (Z = 57) belongs to the d-block and is an element of group 3 of the periodic table. Reason: All Lanthanoids belong to the group 3 of the periodic table.
If the reaction, P is converted to a Product, has rate constant, $E_{a_1} = 200,\text{kJ/mol}, E_{a_2} = 90,\text{kJ/mol}$, $E_{a_3} = 80,\text{kJ/mol}$, and the overall rate constant that k is related to the individual rate constant by the equation k = (\frac{k_1 k_2}{k_3})^{\frac{2}{3}}. Find the overall activation energy for the overall reaction in units of kJ/mol.
If the reaction, P is converted to a Product, has rate constant, $E_{a_1} = 200,\text{kJ/mol}, E_{a_2} = 90,\text{kJ/mol}$, $E_{a_3} = 80,\text{kJ/mol}$, and the overall rate constant that k is related to the individual rate constant by the equation k = (\frac{k_1 k_2}{k_3})^{\frac{2}{3}}. Find the overall activation energy for the overall reaction in units of kJ/mol.
Count the total number of aromatic compounds.
Count the total number of aromatic compounds.
Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be a function defined by $f(x) = -x^3 - 3x^2 - 6x + 1$. Find the number of integers in the solution set of $x$ that satisfies the inequality $f(f(x^3 + f(x))) \geq f(f(f(x) - x^3)))$.
Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be a function defined by $f(x) = -x^3 - 3x^2 - 6x + 1$. Find the number of integers in the solution set of $x$ that satisfies the inequality $f(f(x^3 + f(x))) \geq f(f(f(x) - x^3)))$.
What value of $k$ results in a unique solution for the simultaneous equations $kx + 2y - z = 1$, $(k - 1)y - 2z = 2$, and $(k + 2)z = 3$?
What value of $k$ results in a unique solution for the simultaneous equations $kx + 2y - z = 1$, $(k - 1)y - 2z = 2$, and $(k + 2)z = 3$?
If $f(x) = cos x - \int_0^x (x-t)f(t)dt$, what is the expression for $f''(x) + f(x)$?
If $f(x) = cos x - \int_0^x (x-t)f(t)dt$, what is the expression for $f''(x) + f(x)$?
Flashcards
What is Work Function?
What is Work Function?
The minimum energy needed to eject an electron from a material.
Why Sodium & UV Light?
Why Sodium & UV Light?
Devices built using sodium can operate with ultraviolet light because sodium has a low work function (2.75 eV), requiring higher energy (UV) photons to emit electrons.
Dimensions of GIM²/E²
Dimensions of GIM²/E²
It's the same as that of Length.
Work Done by Force
Work Done by Force
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Radius of Bursting Bubble
Radius of Bursting Bubble
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Magnetic Field Ratio
Magnetic Field Ratio
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Transformer Constant 'k'
Transformer Constant 'k'
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Tuning Forks and Beats
Tuning Forks and Beats
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Heat Capacity Calculation
Heat Capacity Calculation
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Photon & Proton Wavelengths
Photon & Proton Wavelengths
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What does a Zener Diode do?
What does a Zener Diode do?
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What is mutual inductance?
What is mutual inductance?
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Diffraction with Blue Light
Diffraction with Blue Light
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What is screw gauge?
What is screw gauge?
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Bond order in molecules.
Bond order in molecules.
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Lewis acids
Lewis acids
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Aromatic Compound Rule.
Aromatic Compound Rule.
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What are the different types of questions?
What are the different types of questions?
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Study Notes
- The following notes cover questions related to physics, chemistry, and mathematics.
Photosensitive Materials and Photoelectric Devices
- The work function is given for sodium (2.75 eV), copper (4.65 eV), and gold (5.1 eV).
- Visible light has a frequency range of 4 × 10^14 Hz to 8 × 10^14 Hz.
- Devices built by copper and gold cannot operate with visible light because their work functions are too high.
- Devices with sodium can operate with ultraviolet, while those with copper and gold need higher energy photons.
Dimensional Analysis
- E = energy, G = gravitational constant, I = impulse, and M = mass.
- The dimensions of GIM^2 / E^2 are the same as that of time.
Work Done by a Force
- The force applied to a particle is F = (3xy – 5z)j + 4zk.
- The particle moves from (0, 0, 0) to (2, 4, 0).
- The work done by the force is given by the integral of F along the path of motion.
Soap Bubble and Surface Tension
- A soap bubble has surface tension T and a maximum surface density of charge = σ.
- When the bubble is just about to burst, its radius R is given by R = √(8ε₀T) / σ.
Magnetic Field in a Wire
- A long straight wire of radius a carries a steady current i, uniformly distributed across its cross section.
- The ratio of the magnetic field at a/2 and 2a is calculated based on Ampere's law.
Transformer Coils and Magnetic Flux
- The primary and secondary coils of a transformer have 50 and 1500 turns, respectively.
- The magnetic flux Φ linked with the primary coil is given by Φ = Φ₀ + 4t, where Φ is in webers, t is in seconds, and Φ₀ is a constant.
- The output voltage across the secondary coil is equal to 60 kV.
Gravitational Pull Inside a Sphere
- A solid sphere of mass M and radius R has a spherical cavity of radius R/2.
- The center of the cavity is at distance R/2 from the center of the sphere.
- A point mass m is placed inside the cavity at a distance R/4 from the center of the sphere.
- The gravitational pull between the sphere and the point mass m is calculated.
Tuning Forks and Beats
- Two tuning forks have frequencies of 410 Hz and 524 Hz.
- Beats occur when two tuning forks having frequency are kept close and made to vibrate if their frequencies are different.
- Sound waves superimpose only when the frequencies of superposing waves are equal or nearly equal.
Electric Dipole Potential
- A dipole with dipole moment p = 2i – 3j + 4k is placed at point A(2, -3, 1).
- The electric potential due to this dipole at point B(4, -1, 0) is calculated.
- Parameters are specified in SI units.
Gas Temperature and Internal Energy
- 5 moles of a gas at constant volume has its temperature changed from 100°C to 120°C.
- The change in internal energy is 80 J.
- The total heat capacity of the gas at constant volume is determined in J/K.
Photon Energy and Proton Kinetic Energy
- Photon energy equals the kinetic energy of a proton.
- Photon energy is E, proton de-Broglie wavelength is λ₁, and photon wavelength is λ₂.
- The ratio λ₁/λ₂ is proportional to a certain power of E.
Cyclic Thermodynamic Process
- A cyclic process ABCA is depicted on a P-T diagram.
- The corresponding P-V diagram is to be determined based on the nature of the process.
Elastic Collision and Spring Energy
- For a situation with blocks A and B undergoing a perfectly elastic collision. Find the maximum energy (in joules) is tored in the spring.
Circuit Current Calculation
- A circuit diagram is provided with voltage sources and resistors.
- The current through a specific 6 V battery is calculated.
Diffraction Pattern and Light Wavelength
- A diffraction pattern is obtained using a beam of red light.
- The effect on the diffraction pattern when red light is replaced by blue light is analyzed.
Screw Gauge Measurement
- A screw gauge gives a main scale reading of 0 mm and a circular scale reading of 52 divisions.
- Given 1 mm on the main scale corresponds to 100 divisions on the circular scale.
- The diameter of the wire is calculated from this data.
Electromagnetic Fields and Charged Particles
- Electromagnetic fields vary with time. These variations are specified.
- A charged particle with mass m and positive charge q, is given an initial velocity v₀ i at the origin at t = 0.
- The coordinate of the particle on the xy plane as it passes through the xy plane calculated.
Rotational Motion of a Wheel
- A wheel with a moment of inertia of 2.5 kg-m² has an initial angular velocity of 40 rads⁻¹.
- A constant torque of 10 Nm acts on the wheel.
- The time during which the wheel is accelerated to 60 rads⁻¹ is calculated.
Beaker with Water and Kerosene
- A beaker contains water up to a height h₁ and kerosene of height h₂ above the water, so the total height is (h₁ + h₂).
- The refractive index of water is µ₁ and that of kerosene is µ₂.
- The apparent shift in the position of the bottom of the beaker when viewed from above.
Escape Velocity of an Object from a Planet
- The escape velocity of an object from a planet is 16 km/s.
- A second planet has twice the density and three times the radius. The escape velocity of an object from the second plant is calculated.
Zener Diode Circuit
- A Zener diode of Zener break-down voltage 10 V is connected in a circuit.
- The current through the Zener diode is to be determined.
Solenoids and Mutual Inductance
- A solenoid of length 60 cm with 15 turns per cm and area of cross section 4 × 10⁻³ m² completely surrounds another co-axial solenoid.
- The inner solenoid has the same length and an area of cross-section 2 × 10⁻³ m² with 40 turns per cm.
- The mutual inductance of the system is calculated.
Particle Motion and Retardation
- The position of a particle moving on a straight line varies with time as x = t³/3 - 3t² + 8t + 4 (m).
- Motion is considered from t = 0 to t = 5 sec. S₁ is total distance & S₂ is distance during retardation.
- The value of α is determined, given S₁/S₂ = (3α+2) / 11.
Steel Wires and Stretching
- Two steel wires of the same length but different radii (r and 2r) are connected end-to-end and attached to a wall.
- A force stretches the combination by 10 mm. How far the midpoint is moved.
Uniform Rod Breakage
- A uniform thin rod of mass 'm' and length √3l is released from rest from horizontal position.
- The an angle is calculated in radian rotated when rod breaks at point 'C' on vertical line AD and its center of mass passes through the horizontal line PQ.
Silver Ion Concentration Analysis
- The increasing order of Ag+ ion concentration must be determined in saturated solutions of AgCl and AgI, as well as in solutions of Ag(NH3)2+ and Ag(CN)2- complexes.
- Ksp and Kd values are provided for AgCl, AgI, Ag(NH3)2+, and Ag(CN)2-.
Electronic Configuration & Ionization Enthalpy
- The highest second ionization enthalpy is determined based on the given electronic configurations.
Synthesis of Organic Compounds
- The correct method for the synthesis of a target compound is identified through the presented organic reaction.
Chemical Properties and Reactions
- Correct answers are chosen from among the given alternatives based on chemical properties and reactions like stable low valent halide, non-existing halide, acidic oxide, thermally stable hydride.
Bond Order
- The correct bond order is identified from the given compounds like C2, NO, He2+, O2-.
Hydrogen Atom De-excitation
- A sample of hydrogen atoms de-excites from the 6th excited state to the ground state in one or more electronic transitions.
- The number of spectral lines of different photon energies obtained will be determined under a specified condition.
Lewis Acids and Boron Halides
- The correct statement about Lewis Acids involving boron halides is to be identified based on the back bonding.
Organic Reactions
- The product 'X' of a given reaction sequence is identified using all the organic, inorganic reagents plus conditions.
Isomerism
- List I (pairs of isomers) is matched with List II (type of isomerism)
Hybrid Orbitals and s-Character
- The molecules/ions CO3^2-, XeF4, I3^-, NCl3, BeCl2 are ordered as they increase in s-character.
Acidic Oxides
- The acidic oxides set is identified
Enthalpy of Hydrogenation
- The enthalpy of hydrogenation of a compound is found from the provided information.
Assertion and Reason
- The reason and assertion for the given compunds is evaluated.
Activation Energy for Complex Reactions
- The overall activation energy is solved for
Aromatic Compounds
- Aromatic Compounds are identified from the molecules.
Reaction Sequences in Organic Chemistry
- The final product in an organic reaction is solved for.
Major Products in Reactions
- The primary product is identified in reactions.
Oxidizing and Reducing Agents
- A compound that acts as both a reducing and oxidizing agent is identified.
Coordination Compounds
- Complex's IUPAC names is solved for.
Major Product in Reactions
- Molecule found by multistep reations.
Mixture Composition by Mass
- The percentage of the composite mix by mass is solved for.
Value of Equilibrium
- The value of equilibrium is to be solved for.
Molar Mass of Nicotine
- The molar mass of nicotine needed is to be solved for.
Numerical Problems Based on Electrochemistry
- The value of x is solved for the given data.
Isomeric Amines and Reactions
- The total compounds of amines and all isomers is to be solved for.
Single Correct - Mathematics
- the following notes cover questions related to mathematics
Functions and Inequalities
- The number of integers in a solution set solved using functions and inequalities.
System of Equations
- For the equations, values of variables and the number of solutions should be found
Integration and Differentiation
- Values should be determined by performing integration and differentiation.
Complex Numbers
- Value is to be found from an equation based around complex numbers
Roots of Equations
- Solve for the roots of a polynomial
Bounded Areas
- Find k square units.
Differentiable Functions
- Find the value of [a + b] in a differentiable function
Probability
- Determine the solution to a probability question
Spheres
- Determine the value of the components of the functions
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