Podcast
Questions and Answers
How is the focal length ($f$) related to the radius of curvature ($r$) in a spherical convex mirror?
How is the focal length ($f$) related to the radius of curvature ($r$) in a spherical convex mirror?
- $f = \frac{r}{2}$ (correct)
- $f = -\frac{r}{2}$
- $f = r$
- $f = -r$
What characteristic remains constant when a longitudinal wave travels through a medium, causing particles to oscillate harmonically?
What characteristic remains constant when a longitudinal wave travels through a medium, causing particles to oscillate harmonically?
- Difference between kinetic and potential energies
- Total mechanical energy (correct)
- Kinetic energy
- Potential energy
A 5 kg object is thrown upwards with air resistance providing a constant 10 N retarding force. What is the ratio of the ascent time to the descent time? (Use $g = 10 m/s^2$)
A 5 kg object is thrown upwards with air resistance providing a constant 10 N retarding force. What is the ratio of the ascent time to the descent time? (Use $g = 10 m/s^2$)
- 2:3
- 1:1
- $\sqrt{2}:\sqrt{3}$ (correct)
- $\sqrt{3}:\sqrt{2}$
Temperature scales P and Q have 150 and 100 equal divisions, respectively, between fixed points. If $T_P$ and $T_Q$ denote temperatures on the two scales, which conversion formula is correct?
Temperature scales P and Q have 150 and 100 equal divisions, respectively, between fixed points. If $T_P$ and $T_Q$ denote temperatures on the two scales, which conversion formula is correct?
In a uranium radioactive series, $^{238}{92}U$ decays to $^{206}{82}Pb$. How many alpha and beta particles are emitted in this process?
In a uranium radioactive series, $^{238}{92}U$ decays to $^{206}{82}Pb$. How many alpha and beta particles are emitted in this process?
A container holds 1 mole of oxygen and 2 moles of nitrogen at 300 K. What is the ratio of the average rotational kinetic energy per oxygen molecule to that per nitrogen molecule?
A container holds 1 mole of oxygen and 2 moles of nitrogen at 300 K. What is the ratio of the average rotational kinetic energy per oxygen molecule to that per nitrogen molecule?
Two organ pipes of same length and material have different radii. When emitting fundamental notes, which pipe produces a note of smaller frequency?
Two organ pipes of same length and material have different radii. When emitting fundamental notes, which pipe produces a note of smaller frequency?
The position of an electron moving along the x-axis is given by $x = 20te^{-t}$ m. How far from the origin does the electron momentarily stop?
The position of an electron moving along the x-axis is given by $x = 20te^{-t}$ m. How far from the origin does the electron momentarily stop?
The electric potential at a point P due to a point charge of $5 \times 10^{-9}$ C is 50 V. What is the distance of P from the charge? (Assume $\frac{1}{4\pi\epsilon_0} = 9 \times 10^9 Nm^2C^{-2}$)
The electric potential at a point P due to a point charge of $5 \times 10^{-9}$ C is 50 V. What is the distance of P from the charge? (Assume $\frac{1}{4\pi\epsilon_0} = 9 \times 10^9 Nm^2C^{-2}$)
In Young's double-slit experiment, the intensity at a point is $\frac{1}{4}$ of the maximum intensity. What is the angular position of this point?
In Young's double-slit experiment, the intensity at a point is $\frac{1}{4}$ of the maximum intensity. What is the angular position of this point?
A projectile is launched at 30° from the horizontal with an initial velocity of 40 m/s. What is its velocity 2 seconds after launch? (Assume $g = 10 m/s^2$)
A projectile is launched at 30° from the horizontal with an initial velocity of 40 m/s. What is its velocity 2 seconds after launch? (Assume $g = 10 m/s^2$)
The displacement of a particle is given by $y = 3\cos(\frac{\pi}{4} - 2\omega t)$. What type of motion does the particle exhibit?
The displacement of a particle is given by $y = 3\cos(\frac{\pi}{4} - 2\omega t)$. What type of motion does the particle exhibit?
A monochromatic neon lamp with wavelength 670.5 nm has a stopping voltage of 0.48 V on a photosensitive material. What is the stopping voltage if the wavelength is changed to 474.6 nm?
A monochromatic neon lamp with wavelength 670.5 nm has a stopping voltage of 0.48 V on a photosensitive material. What is the stopping voltage if the wavelength is changed to 474.6 nm?
A stone of mass $m$ is tied to a string of length $l$ and rotated in a circular path at constant speed $v$. What is the torque on the stone?
A stone of mass $m$ is tied to a string of length $l$ and rotated in a circular path at constant speed $v$. What is the torque on the stone?
A spring with spring constant $k$ is hung from the ceiling, and a mass $M$ is attached, released from an unstretched position. What is the maximum extension in the spring?
A spring with spring constant $k$ is hung from the ceiling, and a mass $M$ is attached, released from an unstretched position. What is the maximum extension in the spring?
If E, L, M, and G represent energy, angular momentum, mass, and gravitational constant, respectively, what are the dimensions of P in the formula $P = \frac{EL^2}{M^5G^2}$?
If E, L, M, and G represent energy, angular momentum, mass, and gravitational constant, respectively, what are the dimensions of P in the formula $P = \frac{EL^2}{M^5G^2}$?
A 70 kg garden roller is pushed with a 200 N force at 30° to the horizontal. What is the normal reaction force on the roller? (Assume $g = 10 m/s^2$)
A 70 kg garden roller is pushed with a 200 N force at 30° to the horizontal. What is the normal reaction force on the roller? (Assume $g = 10 m/s^2$)
A convex lens is in contact with a concave lens. The magnitude of the ratio of their powers is $\frac{2}{3}$. If their equivalent focal length is 30 cm, what are their individual focal lengths (in cm)?
A convex lens is in contact with a concave lens. The magnitude of the ratio of their powers is $\frac{2}{3}$. If their equivalent focal length is 30 cm, what are their individual focal lengths (in cm)?
A capillary tube is dipped in a water vessel in a lift accelerating upwards at 2g. How does the water rise in the tube compared to normal conditions?
A capillary tube is dipped in a water vessel in a lift accelerating upwards at 2g. How does the water rise in the tube compared to normal conditions?
A particle moves under a force $F = Cx$ from $x = 0$ to $x = x_1$. What is the work done?
A particle moves under a force $F = Cx$ from $x = 0$ to $x = x_1$. What is the work done?
A vessel of depth 'd' is half-filled with oil (refractive index $n_1$) and half with water (refractive index $n_2$). What is the apparent depth when viewed from above?
A vessel of depth 'd' is half-filled with oil (refractive index $n_1$) and half with water (refractive index $n_2$). What is the apparent depth when viewed from above?
Metallic spheres A and B, identical in mass, are given equal amounts of positive and negative charge, respectively. How are their masses affected?
Metallic spheres A and B, identical in mass, are given equal amounts of positive and negative charge, respectively. How are their masses affected?
An insect climbs a hemispherical ditch of radius 1 m. It slips after reaching height h. If the friction coefficient is 0.75, what is h?
An insect climbs a hemispherical ditch of radius 1 m. It slips after reaching height h. If the friction coefficient is 0.75, what is h?
What is the equivalent capacitance of two capacitors in series, both with capacitance C, connected in series with another capacitor of value C?
What is the equivalent capacitance of two capacitors in series, both with capacitance C, connected in series with another capacitor of value C?
If eight identical mercury drops with equal charge combine, how does the capacitance of the bigger drop compare to each small drop?
If eight identical mercury drops with equal charge combine, how does the capacitance of the bigger drop compare to each small drop?
A ball of mass M strikes a ball of mass m at rest. They separate perpendicularly. What is the coefficient of impact (e)?
A ball of mass M strikes a ball of mass m at rest. They separate perpendicularly. What is the coefficient of impact (e)?
For a gas with linearly changing pressure and volume (no heat exchange), what is the change in internal energy?
For a gas with linearly changing pressure and volume (no heat exchange), what is the change in internal energy?
Hydrogen atoms in the ground state are excited by 12.1 eV photons. How many spectral lines will be emitted, according to Bohr's theory?
Hydrogen atoms in the ground state are excited by 12.1 eV photons. How many spectral lines will be emitted, according to Bohr's theory?
Two circular rings, A and B, have the same mass but radii $r$ and $2r$ respectively. What is the ratio of the moment of inertia of A to that of B, about an axis through their center of gravity and perpendicular to their plane?
Two circular rings, A and B, have the same mass but radii $r$ and $2r$ respectively. What is the ratio of the moment of inertia of A to that of B, about an axis through their center of gravity and perpendicular to their plane?
A planet has a mass 9 times Earth's and a radius 4 times Earth's. What is its escape velocity in km/s, given Earth's is 11.2 km/s?
A planet has a mass 9 times Earth's and a radius 4 times Earth's. What is its escape velocity in km/s, given Earth's is 11.2 km/s?
In a Wheatstone bridge, three arms have resistances P, Q, and R. The fourth has parallel resistors $S_1$ and $S_2$. What is the balanced bridge condition?
In a Wheatstone bridge, three arms have resistances P, Q, and R. The fourth has parallel resistors $S_1$ and $S_2$. What is the balanced bridge condition?
Two bodies of 1 kg and 3 kg mass have position vectors $\hat{i} + 2\hat{j} + \hat{k}$ and $-3\hat{i} - 2\hat{j} + \hat{k}$ respectively. What is the magnitude of the position vector of the center of mass, similar to which vector?
Two bodies of 1 kg and 3 kg mass have position vectors $\hat{i} + 2\hat{j} + \hat{k}$ and $-3\hat{i} - 2\hat{j} + \hat{k}$ respectively. What is the magnitude of the position vector of the center of mass, similar to which vector?
A charged particle's energy from a cyclotron with B=magnetic induction and R=radius of Circular path is given by which formula?
A charged particle's energy from a cyclotron with B=magnetic induction and R=radius of Circular path is given by which formula?
If the intensity of a laser is 53.10 W/m², what is the electric field amplitude?
If the intensity of a laser is 53.10 W/m², what is the electric field amplitude?
The potential energy of a satellite that has mass m and rotating at the height of $6.4x10^6$ m from the Earth surface is
The potential energy of a satellite that has mass m and rotating at the height of $6.4x10^6$ m from the Earth surface is
What is the oscillation frequency of an electron with energy of 0.1 keV in perfect relation to the Earth's $1 \times 10^{-4}$ magnetic field.
What is the oscillation frequency of an electron with energy of 0.1 keV in perfect relation to the Earth's $1 \times 10^{-4}$ magnetic field.
In an RLC set with Vm as the amplitude and frequency $\omega = \frac{1}{\sqrt{LC}}$ and current, what expresses the state’s quality factor?
In an RLC set with Vm as the amplitude and frequency $\omega = \frac{1}{\sqrt{LC}}$ and current, what expresses the state’s quality factor?
If you set the magnetic field relation and calculate the magnetic strength for a circular center of loop that equals x
, what could that ration be?
If you set the magnetic field relation and calculate the magnetic strength for a circular center of loop that equals x
, what could that ration be?
What should be the parallel cylinder in a uniform axis if B represents the uniform magnetic field?
What should be the parallel cylinder in a uniform axis if B represents the uniform magnetic field?
With a .7mm shift in density in $H_2O$, find the H2O flow?
With a .7mm shift in density in $H_2O$, find the H2O flow?
If we link the magnetic vector in uniform magnetic field of A, what statement aligns with that vector?
If we link the magnetic vector in uniform magnetic field of A, what statement aligns with that vector?
What value will the RMS in the circuit carry if there is an LCR of 110$\Omega$ resistance and the supply delivers 220V at a frequency of 300 rad/s?
What value will the RMS in the circuit carry if there is an LCR of 110$\Omega$ resistance and the supply delivers 220V at a frequency of 300 rad/s?
If we allow a material with the same Radius with the quantity of R being set as 3R to fall in liquid on density $\sigma$, what velocities does it carry?
If we allow a material with the same Radius with the quantity of R being set as 3R to fall in liquid on density $\sigma$, what velocities does it carry?
Flashcards
Focal Length of Convex Mirror
Focal Length of Convex Mirror
The focal length (f) is related to the radius of curvature (r) in a spherical convex mirror by (f = r/2). For a convex mirror, the focus is behind the mirror, making the focal length positive.
Longitudinal Wave Oscillation
Longitudinal Wave Oscillation
When a longitudinal wave propagates, particles oscillate harmonically around their mean positions. The sum of kinetic and potential energy remains constant.
Ascent/Descent Time Ratio
Ascent/Descent Time Ratio
The ratio of ascent time to descent time for a vertically thrown object with air resistance is (\sqrt{2}:\sqrt{3}).
Temperature Scale Conversion
Temperature Scale Conversion
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Uranium Decay Products
Uranium Decay Products
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Rotational Kinetic Energy Ratio
Rotational Kinetic Energy Ratio
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Organ Pipe Frequency vs. Radius
Organ Pipe Frequency vs. Radius
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Electron's Maximum Distance
Electron's Maximum Distance
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Distance from Point Charge
Distance from Point Charge
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Young's Double Slit Position
Young's Double Slit Position
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Projectile Velocity After 2s
Projectile Velocity After 2s
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Motion of a Particle
Motion of a Particle
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Stopping Voltage Calculation
Stopping Voltage Calculation
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Torque on Rotating Stone
Torque on Rotating Stone
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Maximum Spring Extension
Maximum Spring Extension
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Dimension of Formula P
Dimension of Formula P
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Normal Reaction Force
Normal Reaction Force
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Convex-Concave Lens Combination
Convex-Concave Lens Combination
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Capillary Rise in Accelerating Lift
Capillary Rise in Accelerating Lift
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Work done due to Force F=Cx
Work done due to Force F=Cx
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Apparent Depth with Two Liquids
Apparent Depth with Two Liquids
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Mass Change on Charging
Mass Change on Charging
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Angle related balancing
Angle related balancing
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Eqivalent capacitance connection
Eqivalent capacitance connection
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Capacitance amount compare of drop one big and smalelr
Capacitance amount compare of drop one big and smalelr
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Coefficient of restitution calculation
Coefficient of restitution calculation
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Internal change calculation
Internal change calculation
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Bohr mode
Bohr mode
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Solution order of (S_N2)
Solution order of (S_N2)
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Solution is in result by(LC)
Solution is in result by(LC)
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Solution
Solution
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Study Notes
- Multiple Choice Questions (MCQs) are made up of 150 questions
- Section A covers Physics & Chemistry, each with 50 questions
- Section B has 50 Mathematics questions
- The order of answering questions is up to to the candidate
- Each question has one correct answer out of four
- A correct answer earns one mark, with no negative marking
- Marks are not awarded for multiple answers, scratching or overwriting
- Test duration of 3 hours
Physics
- For a spherical convex mirror, the focal length (f) is positive and described by: f = r/2
- In longitudinal wave propagation, particles oscillate around mean positions; the sum of kinetic and potential energy remains constant
- If air resistance produces a constant retarding force, the ratio of ascent to descent time will be √2:√3
- Temperature scales conversion relates P & Q scales using tp/150 = to/100 with 150 divisions on P and 100 on Q
- In the Uranium radioactive series from U-238 to Pb-206, 8 alpha and 6 beta particles emitted
- The formula for the uranium radioactive series can be written as Mass Loss: 4x = 238-206=32⇒x=8, Atomic No Loss: 2x−y =92-82=10.
- O₂ to N₂ average rotational kinetic energy is 1:1 at 300 K
- Each diatomic molecule rotation has RT/2 energy per mole.
- Broader organ pipe produces lower frequency note
- An electron's position along the x-axis varies with time described by x = 20te¯¹ m
- It stops momentarily at x = 20/e m
- With its instantaneous stop at t = 1 via v = 20[te¯'×(-1)+e¯']
- Potential, Vp, is 50 V from a 5x10⁻⁹ C charge at distance which is solved by Vp=kQ/r to 0.9m = 90cm
- Young's double-slit experiment has 1/4 maximum intensity at sin⁻¹(λ/3d) angular position.
- A projectile at 30° launch with 40m/s initial velocity has horizontal component 20√3 m/s after 2 seconds
- The particle displacement equation y = 3cos(π/4 - 2ωt) represents simple harmonic motion with π/ω period.
- The particle's motion shows simple harmonic motion (SHM) and motion is periodic simple harmonic
- A monochromatic 670.5 nm neon lamp has 0.48V stopping voltage
- The voltage becomes 1.25 V if the source light wavelength changes to 474.6 nm, derived using Einstein's photoelectric equation.
- A stone rotating on the end of a string has zero torque
- Spring extension maximum and constant, 2Mg/k, with a mass released
- P dimensions are [M⁰L⁰T⁰], if energy, angular momentum, mass and constant of gravitation respectively, then the dimensions of P = EL²M⁻⁵G⁻².
- A 70 kg garden roller pushed at 30° angle with 200 N force will have an 800N reaction
- A combination of convex and concave lenses having 2:3 power ratio will gave -15 cm and 10cm focal lengths if the combined focal length is 30 cm
- h is inversely proportional to g i.e. is h ∝ 1/g
- Capillary action reduced by 1/3 i.e. h’ = 1/3h
- The work done by a force Cx from x=0 to x=x₁ is 1/2(Cx²)
- A vessel of depth 'd' is half filled with oil and water of different refraction indices causes the apparent depth d’=d(n₁+n₂)/2n₁n₂
- A positively charged metallic sphere will lose mass
- An insect crawls up a hemispherical ditch to h=0.2m
- Combination’s equivalent capacitance shown in figure to be 2C
- Eight mercury drops combine which increases the capacitance X2
- Coefficient of impact is M/m
- Gas pressure decreases linearly from A to B, it will lead to the internal energy of the gas being +4.5J.
- Hydrogen atom excitation will yield 3 spectral lines
- Mass of the satellite will be the same as the height of the satellite on earth of 6.4×106 m
- Given earth magnetic field is 10⁻⁴Wbm⁻², revolution frequency with energy 0.1keV will be 2.8×105 Hz
- The RLC circuit quality factor is (1/R)√(L/C)
- Ratio of magnetic field and moment will be x = µ₀I/2R is affected by radius and current changing to become Ratio x
- Uniform magnetic field that induces cylinder’s current is the direction will result in anticlockwise view
- Horizontal flow pressure has a water rate of 2720cm³/s
- Magnetic flux in the cylinder and no induced emf in it will be zero.
- Magnetic Flux formula is BA
- RMS current 2 A if inductance removed LCR from resonance
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