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Questions and Answers
A thin uniform rod is pivoted at point O and rotating in a horizontal plane at a constant angular speed $\omega$. An insect starts at O and walks towards the other end at a constant speed $v$, reaching the end at $t = T$. If $\omega$ remains constant, which plot best represents the magnitude of the torque $|\tau|$ on the system about O as a function of time?
A thin uniform rod is pivoted at point O and rotating in a horizontal plane at a constant angular speed $\omega$. An insect starts at O and walks towards the other end at a constant speed $v$, reaching the end at $t = T$. If $\omega$ remains constant, which plot best represents the magnitude of the torque $|\tau|$ on the system about O as a function of time?
- A graph of $|\tau|$ that increases linearly from 0 to a certain value a little before T, then sharply drops to zero at T.
- A graph of $|\tau|$ that increases linearly from 0 to a constant value over the time interval 0 to T.
- A graph of $|\tau|$ that increases non-linearly from 0 to a certain value a little before T, then sharply drops to zero at T. (correct)
- A graph of $|\tau|$ that increases non-linearly from 0 to a constant value over the time interval 0 to T.
Three large parallel plates with the same area are kept close to each other and considered as ideal black surfaces with high thermal conductivity. The first and third plates are maintained at temperatures $2T$ and $3T$, respectively. What is the temperature of the middle plate under steady-state conditions?
Three large parallel plates with the same area are kept close to each other and considered as ideal black surfaces with high thermal conductivity. The first and third plates are maintained at temperatures $2T$ and $3T$, respectively. What is the temperature of the middle plate under steady-state conditions?
- $(\frac{65}{2})^{\frac{1}{4}}T$
- $(97)^{\frac{1}{4}}T$
- $(\frac{97}{2})^{\frac{1}{4}}T$ (correct)
- $(\frac{97}{4})^{\frac{1}{4}}T$
Consider a thin spherical shell of radius $R$ centered at the origin with a uniform positive surface charge density. Which graph best represents the variation of the magnitude of the electric field $|E(r)|$ and the electric potential $V(r)$ with distance $r$ from the center?
Consider a thin spherical shell of radius $R$ centered at the origin with a uniform positive surface charge density. Which graph best represents the variation of the magnitude of the electric field $|E(r)|$ and the electric potential $V(r)$ with distance $r$ from the center?
- Graph showing linearly increasing $|E(r)|$ from 0 to R then decreasing. $V(r)$ decreases from r=0.
- Graph showing $|E(r)|$ equal to 0 from r=0 to R, then decreasing. $V(r)$ decreases from r=0.
- Graph showing linearly increasing from r=0 to R, then sharply decreasing. $V(r)$ decreases from r=0.
- Graph showing $|E(r)|$ equal to 0 from r=0 to R, then sharply decreasing. $V(r)$ decreases from r=0. (correct)
In determining Young's modulus ($Y = \frac{4MLg}{\pi d^2 l}$) using Searle's method, a wire of length $L = 2$ m and diameter $d = 0.5$ mm is used. For a load $M = 2.5$ kg, the extension is $l = 0.25$ mm. If $d$ and $l$ are measured using a screw gauge and a micrometer, respectively, both with a pitch of 0.5 mm and 100 divisions on their circular scale, what contributes to the maximum probable error of the $Y$ measurement?
In determining Young's modulus ($Y = \frac{4MLg}{\pi d^2 l}$) using Searle's method, a wire of length $L = 2$ m and diameter $d = 0.5$ mm is used. For a load $M = 2.5$ kg, the extension is $l = 0.25$ mm. If $d$ and $l$ are measured using a screw gauge and a micrometer, respectively, both with a pitch of 0.5 mm and 100 divisions on their circular scale, what contributes to the maximum probable error of the $Y$ measurement?
A small block is connected to a massless spring (unstretched length 4.9 m) on a horizontal frictionless surface. The block is stretched by 0.2 m and released. Simultaneously at $t = 0$, a pebble is projected at 45° from point P (10 m away horizontally) with speed $v$. If the pebble hits the block at $t = 1$ s, find the value of $v$. The block executes SHM with $\omega = \frac{\pi}{3}$ rad/s. (Take $g = 10$ m/s²)
A small block is connected to a massless spring (unstretched length 4.9 m) on a horizontal frictionless surface. The block is stretched by 0.2 m and released. Simultaneously at $t = 0$, a pebble is projected at 45° from point P (10 m away horizontally) with speed $v$. If the pebble hits the block at $t = 1$ s, find the value of $v$. The block executes SHM with $\omega = \frac{\pi}{3}$ rad/s. (Take $g = 10$ m/s²)
Young's double-slit experiment is conducted using green, red, and blue light, one color at a time. The fringe widths recorded are $\beta_G$, $\beta_R$, and $\beta_B$, respectively. What is the correct relationship between the fringe widths?
Young's double-slit experiment is conducted using green, red, and blue light, one color at a time. The fringe widths recorded are $\beta_G$, $\beta_R$, and $\beta_B$, respectively. What is the correct relationship between the fringe widths?
A small mass $m$ is attached to a massless string fixed at point $P$. The mass undergoes circular motion in the $x$-$y$ plane with center at $O$ and constant angular speed $\omega$. Let $L_O$ and $L_P$ be the angular momentum of the system calculated about $O$ and $P$ respectively. How do $L_O$ and $L_P$ vary with time?
A small mass $m$ is attached to a massless string fixed at point $P$. The mass undergoes circular motion in the $x$-$y$ plane with center at $O$ and constant angular speed $\omega$. Let $L_O$ and $L_P$ be the angular momentum of the system calculated about $O$ and $P$ respectively. How do $L_O$ and $L_P$ vary with time?
A mixture of 2 moles of helium gas (atomic mass = 4 amu) and 1 mole of argon gas (atomic mass = 40 amu) is kept at 300 K in a container. What is the ratio of the RMS speeds $\frac{v_{rms(helium)}}{v_{rms(argon)}}$?
A mixture of 2 moles of helium gas (atomic mass = 4 amu) and 1 mole of argon gas (atomic mass = 40 amu) is kept at 300 K in a container. What is the ratio of the RMS speeds $\frac{v_{rms(helium)}}{v_{rms(argon)}}$?
Two large vertical and parallel metal plates separated by 1 cm are connected to a DC voltage source with potential difference $X$. A proton released at rest midway between the plates moves at 45° to the vertical immediately after release. What is the approximate value of $X$?
Two large vertical and parallel metal plates separated by 1 cm are connected to a DC voltage source with potential difference $X$. A proton released at rest midway between the plates moves at 45° to the vertical immediately after release. What is the approximate value of $X$?
A bi-convex lens is formed with two thin plano-convex lenses. The refractive index of the first lens is 1.5, and that of the second is 1.2. Both curved surfaces have a radius of curvature $R = 14$ cm. For an object distance of 40 cm, what is the image distance?
A bi-convex lens is formed with two thin plano-convex lenses. The refractive index of the first lens is 1.5, and that of the second is 1.2. Both curved surfaces have a radius of curvature $R = 14$ cm. For an object distance of 40 cm, what is the image distance?
A cubical region of side $a$ has its center at the origin and encloses three fixed point charges: $-q$ at $(0, -a/4, 0)$, $+3q$ at $(0, 0, 0)$, and $-q$ at $(0, +a/4, 0)$. Which statements about the electric flux are correct?
A cubical region of side $a$ has its center at the origin and encloses three fixed point charges: $-q$ at $(0, -a/4, 0)$, $+3q$ at $(0, 0, 0)$, and $-q$ at $(0, +a/4, 0)$. Which statements about the electric flux are correct?
For the given resistance network, which statements are correct?
For the given resistance network, which statements are correct?
A small block of mass 0.1 kg lies on a fixed inclined plane $PQ$, which makes an angle $\theta$ with the horizontal. A horizontal force of 1 N acts on the block as shown. The block remains stationary. Which statements are correct regarding $\theta$ and the friction force?
A small block of mass 0.1 kg lies on a fixed inclined plane $PQ$, which makes an angle $\theta$ with the horizontal. A horizontal force of 1 N acts on the block as shown. The block remains stationary. Which statements are correct regarding $\theta$ and the friction force?
A positive point charge is placed in a region with uniform electric and magnetic fields, $E = E_0 \hat{j}$ and $B = B_0 \hat{j}$. At $t = 0$, its velocity is in the x-y plane, making an angle $\theta$ with the x-axis. For $t > 0$, which of the following is/are correct?
A positive point charge is placed in a region with uniform electric and magnetic fields, $E = E_0 \hat{j}$ and $B = B_0 \hat{j}$. At $t = 0$, its velocity is in the x-y plane, making an angle $\theta$ with the x-axis. For $t > 0$, which of the following is/are correct?
A person blows into the open end of a long pipe. As a result, a high-pressure pulse of air travels down the pipe. What happens when this pulse reaches the other end of the pipe?
A person blows into the open end of a long pipe. As a result, a high-pressure pulse of air travels down the pipe. What happens when this pulse reaches the other end of the pipe?
In allene ($C_3H_4$), what type(s) of hybridization do the carbon atoms exhibit?
In allene ($C_3H_4$), what type(s) of hybridization do the carbon atoms exhibit?
For one mole of a van der Waals gas with $b = 0$ at $T = 300$ K, the $PV$ vs. $\frac{1}{V}$ plot is given. What is the value of the van der Waals constant $a$ (atm $\cdot$ liter$^2$ mol$^{-2}$)?
For one mole of a van der Waals gas with $b = 0$ at $T = 300$ K, the $PV$ vs. $\frac{1}{V}$ plot is given. What is the value of the van der Waals constant $a$ (atm $\cdot$ liter$^2$ mol$^{-2}$)?
What is the number of optically active products obtained from the complete ozonolysis of the given compound?
What is the number of optically active products obtained from the complete ozonolysis of the given compound?
A compound $M_pX_q$ has cubic close packing (ccp) arrangement of $X$. The unit cell structure is shown. What is the empirical formula of the compound?
A compound $M_pX_q$ has cubic close packing (ccp) arrangement of $X$. The unit cell structure is shown. What is the empirical formula of the compound?
What number of aldol reaction(s) occurs in the given transformation? $CH_3CHO + 4HCHO \xrightarrow{conc. aq. NaOH}$ products
What number of aldol reaction(s) occurs in the given transformation? $CH_3CHO + 4HCHO \xrightarrow{conc. aq. NaOH}$ products
What is the color of light absorbed by an aqueous solution of $CuSO_4$?
What is the color of light absorbed by an aqueous solution of $CuSO_4$?
Which functional group, (-COOH), is present in the following?
Which functional group, (-COOH), is present in the following?
What is the kinetic energy of an electron in the second Bohr orbit of a hydrogen atom, expressed in terms of the Bohr radius $a_o$?
What is the kinetic energy of an electron in the second Bohr orbit of a hydrogen atom, expressed in terms of the Bohr radius $a_o$?
Which of the following orderings of compounds is consistent with the decreasing order of oxidation state of nitrogen?
Which of the following orderings of compounds is consistent with the decreasing order of oxidation state of nitrogen?
What is the IUPAC name for the complex $[Co(H_2O)_4(NH_3)_2]Cl_3$?
What is the IUPAC name for the complex $[Co(H_2O)_4(NH_3)_2]Cl_3$?
Identify the binary mixture(s) that can be separated into individual compounds by differential extraction as shown in the given scheme (using NaOH(aq) and NaHCO3(aq)).
Identify the binary mixture(s) that can be separated into individual compounds by differential extraction as shown in the given scheme (using NaOH(aq) and NaHCO3(aq)).
Choose the correct reason(s) for the stability of lyophobic colloidal particles.
Choose the correct reason(s) for the stability of lyophobic colloidal particles.
Which of the following molecules, in pure form, is (are) unstable at room temperature?
Which of the following molecules, in pure form, is (are) unstable at room temperature?
Which hydrogen halides react with $AgNO_3(aq)$ to give a precipitate that dissolves in $Na_2S_2O_3(aq)$?
Which hydrogen halides react with $AgNO_3(aq)$ to give a precipitate that dissolves in $Na_2S_2O_3(aq)$?
For an ideal gas, consider only $P$-$V$ work in going from an initial state $X$ to $Z$. $Z$ can be reached by paths $X \rightarrow Y \rightarrow Z$. Which of the statements about the change in entropy ($\Delta S$) and work ($w$) are correct?
For an ideal gas, consider only $P$-$V$ work in going from an initial state $X$ to $Z$. $Z$ can be reached by paths $X \rightarrow Y \rightarrow Z$. Which of the statements about the change in entropy ($\Delta S$) and work ($w$) are correct?
The total number of ways in that 5 balls of different colours can be distributed among 3 persons so that each person gets at least one ball is :
The total number of ways in that 5 balls of different colours can be distributed among 3 persons so that each person gets at least one ball is :
Let $f(x) = \begin{cases} x^2 cos(\frac{\pi}{x}), & x \neq 0 \ 0, & x = 0 \end{cases}$. Then $f$ is
Let $f(x) = \begin{cases} x^2 cos(\frac{\pi}{x}), & x \neq 0 \ 0, & x = 0 \end{cases}$. Then $f$ is
The function $f: [0, 3] \rightarrow [1, 29]$, defined by $f(x) = 2x^3 - 15x^2 + 36x + 1$, is:
The function $f: [0, 3] \rightarrow [1, 29]$, defined by $f(x) = 2x^3 - 15x^2 + 36x + 1$, is:
Flashcards
Single Correct
Single Correct
In single correct answer type questions, only one option is correct.
Multiple Correct
Multiple Correct
In multiple correct answer type questions, one or more options can be correct.
Integer Answer
Integer Answer
Answer is between 0 to 9. Both inclusive
Angular Speed
Angular Speed
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Torque
Torque
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Black Surface Property
Black Surface Property
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Young's Modulus
Young's Modulus
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SHM
SHM
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Angular Frequency
Angular Frequency
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Fringe Width
Fringe Width
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Kinetic theory
Kinetic theory
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Bi-convex lens
Bi-convex lens
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Electric Flux
Electric Flux
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Cubic Close Packing
Cubic Close Packing
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Unstable molecule
Unstable molecule
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Study Notes
- This is the IIT JEE 2012 Paper I
- The maximum marks achievable on this paper is 210.
Marking Scheme
- Section I has 10 questions and each correct answer is worth 3 marks, with a -1 mark penalty for incorrect answers, based on a single correct answer format.
- Section II contains 5 questions, each worth 4 marks for one or more correct answers and no negative marking
- Section III involves 5 questions, with each correct answer being a single-digit integer from 0 to 9, worth 4 marks and no penalty for wrong answers.
Physics - Section I: Single Correct Answer Type
- This section contains 10 multiple-choice questions
- One correct answer out of four choices (A, B, C, and D)
Physics - Section II: Multiple Correct Answer(s) Type
- This section has 5 multiple choice questions
- One or more of the four choices (A, B, C, and D) is correct.
Physics - Section III: Integer Answer Type
- This section contains 5 questions
- Each answer is a single digit integer, ranging from 0 to 9 (both inclusive).
Chemistry - Section I: Single Correct Answer Type
- This section contains 10 multiple choice questions
- Each question has four choices (A), (B), (C) and (D) out of which ONLY ONE is correct.
Chemistry - Section II: Multiple Correct Answer(s) Type
- This section contains 5 multiple choice questions
- Each question has four choices (A), (B), (C) and (D) out of which ONE or MORE are correct.
Chemistry - Section III: Integer Answer Type
- This section contains 5 questions
- The answer to each question is a single digit integer, ranging from 0 to 9 (both inclusive).
Mathematics - Section I: Single Correct Answer Type
- This section contains 10 multiple choice questions.
- Each has four choices (A), (B), (C) and (D) out of which ONLY ONE is correct.
Mathematics - Section II: Multiple Correct Answer(s) Type
- This section contains 5 multiple choice questions
- Each question has four choices (A), (B), (C) and (D) out of which ONE or MORE are correct.
Mathematics - Section III: Integer Answer Type
- This section contains 5 questions
- The answer to each question is a single digit integer, ranging from 0 to 9 (both inclusive).
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Description
IIT JEE 2012 Paper I Physics questions. Includes single correct answer, multiple correct answers, and integer answer type questions. Marking scheme: +3/-1, +4/0, +4/0.
