AIPMT 2012 · Physics

AIPMT 2012 Physics Questions with Solutions

The AIPMT 2012 paper had 30 Physics questions from 21 chapters.

System of Particles and Rotational Motion had the most questions (3), followed by Current Electricity, Dual Nature of Radiation and Matter and 5 other chapters with 2 each.

2 questions below have the answer and explanation free; the other 28 are in Premium.

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Physics questions: 30
Chapters covered: 21
Solved free here: 2 of 30
Easy / Medium / Hard: 9 / 16 / 5

Difficulty is NEET MIND's own tag for each question.

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All 30 AIPMT 2012 Physics questions

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Question 1 (AIPMT 2012, Q1)
Alternating CurrentMedium
The instantaneous values of alternating current and voltage in a circuit are given as $i=\frac{1}{\sqrt{2}}\sin(100\pi t)\,\text{A}$ and $e=\frac{1}{\sqrt{2}}\sin\left(100\pi t+\frac{\pi}{3}\right)\,\text{V}$ . The average power consumed in the circuit is:
1. Option A: $\frac{\sqrt{3}}{4}$
2. Option B: $\frac{1}{2}$
3. Option C: $\frac{1}{8}$
4. Option D: $\frac{1}{4}$
The answer and explanation for this question are in NEET MIND Premium.
Question 2 (AIPMT 2012, Q2)
Current ElectricityEasy
The power dissipated in the circuit shown in the figure is 30 watts. The value of resistance R is:
1. Option A: 15 Ω
2. Option B: 10 Ω
3. Option C: 30 Ω
4. Option D: 20 Ω
The answer and explanation for this question are in NEET MIND Premium.
Question 3 (AIPMT 2012, Q3)
Units and MeasurementsMedium
The dimensions of $\left(\mu_0\varepsilon_0\right)^{-1/2}$ are:
1. Option A: $[L^{-1}T]$
2. Option B: $[LT^{-1}]$
3. Option C: $[L^{1/2}T^{1/2}]$
4. Option D: $[L^{1/2}T^{-1/2}]$
The answer and explanation for this question are in NEET MIND Premium.
Question 4 (AIPMT 2012, Q4)
ThermodynamicsMedium
An ideal gas goes from state A to state B via three different processes as indicated in the P-V diagram. If $Q_1, Q_2, Q_3$ indicate the heat absorbed by the gas along the three processes and $\Delta U_1, \Delta U_2, \Delta U_3$ indicate the change in internal energy along the three processes respectively, then:
1. Option A: $Q_3 > Q_2 > Q_1$ and $\Delta U_1 = \Delta U_2 = \Delta U_3$
2. Option B: $Q_1 = Q_2 = Q_3$ and $\Delta U_1 > \Delta U_2 > \Delta U_3$
3. Option C: $Q_3 > Q_2 > Q_1$ and $\Delta U_1 > \Delta U_2 > \Delta U_3$
4. Option D: $Q_1 > Q_2 > Q_3$ and $\Delta U_1 = \Delta U_2 = \Delta U_3$
The answer and explanation for this question are in NEET MIND Premium.
Question 5 (AIPMT 2012, Q5)
Semiconductor ElectronicsEasy
To get an output Y = 1 in the given circuit which of the following is correct:
1. Option A: A = 1, B = 0, C = 1
2. Option B: A = 1, B = 1, C = 0
3. Option C: A = 0, B = 1, C = 0
4. Option D: A = 1, B = 0, C = 0
The answer and explanation for this question are in NEET MIND Premium.
Question 6 (AIPMT 2012, Q6)
Electric Charges and FieldsMedium
Two metallic spheres of radii 1 cm and 3cm are given charges $-1\times10^{-2}\,\text{C}$ and $5\times10^{-2}\,\text{C}$ respectively. If these are connected by a conducting wire, the final charge on the bigger sphere is:
1. Option A: $3\times10^{-2}\,\text{C}$
2. Option B: $4\times10^{-2}\,\text{C}$
3. Option C: $1\times10^{-2}\,\text{C}$
4. Option D: $2\times10^{-2}\,\text{C}$
The answer and explanation for this question are in NEET MIND Premium.
Question 7 (AIPMT 2012, Q7)
Dual Nature of Radiation and MatterEasy
Two radiations of photon energies 1 eV and 2.5 eV, successively illuminate a photosensitive metallic surface of work function 0.5 eV. The ratio of the maximum speeds of the emitted electrons is:
1. Option A: 1 : 2
2. Option B: 1 : 1
3. Option C: 1 : 5
4. Option D: 1 : 4
The answer and explanation for this question are in NEET MIND Premium.
Question 8 (AIPMT 2012, Q8)
System of Particles and Rotational MotionMedium
The moment of inertia of a uniform circular disc is maximum about an axis perpendicular to the disc and passing through:
1. Option A: C
2. Option B: D
3. Option C: A
4. Option D: B
The answer and explanation for this question are in NEET MIND Premium.
Question 9 (AIPMT 2012, Q9)
WavesHard
A train moving at a speed of 220 ${m s}^{-1}$ towards a stationary object emits a sound of frequency $1000\,\text{Hz}$ . Some of the sound reaching the object gets reflected back to the train as echo. The frequency of the echo as detected by the driver of the train is: (Speed of sound in air is 330 ${m s}^{-1}$ )
1. Option A: 4000 Hz
2. Option B: 5000 Hz
3. Option C: 3000 Hz
4. Option D: 3500 Hz
The answer and explanation for this question are in NEET MIND Premium.
Question 10 (AIPMT 2012, Q10)
NucleiMedium
The half life of a radioactive nucleus is 50 days. The time interval $(t_2-t_1)$ between the time $t_2$ when $\dfrac{2}{3}$ of it has decayed and the time $t_1$ when $\dfrac{1}{3}$ of it has decayed is:
1. Option A: 50 days
2. Option B: 60 days
3. Option C: 15 days
4. Option D: 30 days
The answer and explanation for this question are in NEET MIND Premium.
Question 11 (AIPMT 2012, Q11)
Laws of MotionEasy
A car of mass m is moving on a level circular track of radius R. If $\mu_s$ represents the static friction between the road and tyres of the car, the maximum speed of the car in circular motion is given by:
1. Option A: $\sqrt{\dfrac{Rg}{\mu_s}}$
2. Option B: $\sqrt{\dfrac{mRg}{\mu_s}}$
3. Option C: $\sqrt{\mu_s R g}$
4. Option D: $\sqrt{\mu_s m R g}$
The answer and explanation for this question are in NEET MIND Premium.
Question 12 (AIPMT 2012, Q12)
System of Particles and Rotational MotionHard
A circular platform is mounted on a frictionless vertical axle. Its radius is R = 2 m and its moment of inertia about the axle is 200 ${kg m}^2$ . A man of mass 50 kg stands on the edge of the platform and begins to walk along the edge at the speed of 1 ${m s}^{-1}$ relative to the ground. Time taken by the man to complete one revolution is:
1. Option A: $\dfrac{3\pi}{2}\,\text{s}$
2. Option B: $2\pi\,\text{s}$
3. Option C: $\dfrac{\pi}{2}\,\text{s}$
4. Option D: $\pi\,\text{s}$
The answer and explanation for this question are in NEET MIND Premium.
Question 13 (AIPMT 2012, Q13)
Dual Nature of Radiation and MatterMedium
If the momentum of an electron is changed by P, then the de Broglie wavelength associated with it changes by 0.5%. The initial momentum of electrons will be:
1. Option A: 400P
2. Option B: $\dfrac{P}{200}$
3. Option C: 100P
4. Option D: 200P
The answer and explanation for this question are in NEET MIND Premium.
Question 14 (AIPMT 2012, Q14)
GravitationEasy
If $v_e$ is the escape velocity and $v_o$ is the orbital velocity of a satellite of orbit close to the Earth's surface, then these are related by:
1. Option A: $v_o=v_e$
2. Option B: $v_e=\sqrt{2}v_o$
3. Option C: $v_e=\sqrt{2}\,v_o$
4. Option D: $v_o=\sqrt{2}v_e$
The answer and explanation for this question are in NEET MIND Premium.
Question 15 (AIPMT 2012, Q15)
WavesHard
The equation of simple harmonic wave is given by: $y=3\sin\left[\frac{\pi}{2}(50t-x)\right]$ where x and y are in metres and t is in seconds. The ratio of maximum particle velocity to the wave velocity is:
1. Option A: $\dfrac{3}{2}\pi$
2. Option B: $3\pi$
3. Option C: $\dfrac{2}{3}\pi$
4. Option D: $2\pi$
The answer and explanation for this question are in NEET MIND Premium.
Question 16 (AIPMT 2012, Q16)
Moving Charges and MagnetismHard
A proton carrying 1 MeV kinetic energy is moving in a circular path of radius R in a uniform magnetic field. What should be the energy of an $\alpha$ -particle to describe a circle of same radius in the same field?
1. Option A: 1 MeV
2. Option B: 0.5 MeV
3. Option C: 4 MeV
4. Option D: 2 MeV
The answer and explanation for this question are in NEET MIND Premium.
Question 17 (AIPMT 2012, Q17)
System of Particles and Rotational MotionEasy
Three masses are placed on the x-axis: 300 g at origin, 500 g at x = 40 cm and 400 g at x = 70 cm. The distance of the centre of mass from the origin is:
1. Option A: 45 cm
2. Option B: 50 cm
3. Option C: 30 cm
4. Option D: 40 cm
The answer and explanation for this question are in NEET MIND Premium.
Question 18 (AIPMT 2012, Q18)
Electromagnetic InductionMedium
In a coil of resistance 10 Ω, the induced current developed by changing magnetic flux through it is shown in figure as a function of time. The magnitude of change in flux through the coil in Weber is:
1. Option A: 2
2. Option B: 6
3. Option C: 4
4. Option D: 8
The answer and explanation for this question are in NEET MIND Premium.
Question 19 (AIPMT 2012, Q19)
Electrostatic Potential and CapacitanceMedium
A parallel plate capacitor has a uniform electric field E in the space between the plates. If the distance between the plates is d and area of each plate is A, the energy stored in the capacitor is:
1. Option A: E²Ad/ε₀
2. Option B: (1/2) ε₀E²Ad
3. Option C: ε₀EAdt/√m
4. Option D: (1/2) ε₀E²
The answer and explanation for this question are in NEET MIND Premium.
Question 20 (AIPMT 2012, Q20)
Work, Energy and PowerHard
A car of mass m starts from rest and accelerates so that the instantaneous power delivered to the car has a constant magnitude P₀. The instantaneous velocity of this car is proportional to:
1. Option A: t¹ᐟ²
2. Option B: t⁻¹ᐟ²
3. Option C: t/√m
4. Option D: t²P₀
The answer and explanation for this question are in NEET MIND Premium.
Question 21 (AIPMT 2012, Q21)
GravitationMedium
Which one of the following plots represents the variation of gravitational field on a particle with distance r due to a thin spherical shell of radius R? (r is measured from the centre of the spherical shell)
1. Option A: Option (1)
2. Option B: Option (2)
3. Option C: Option (3)
4. Option D: Option (4)
The answer and explanation for this question are in NEET MIND Premium.
Question 22 (AIPMT 2012, Q22)
Semiconductor ElectronicsMedium
The input resistance of a silicon transistor is 100 Ω. Base current is changed by 40 μA which results in a change in collector current by 2 mA. This transistor is used as a common emitter amplifier with a load resistance of 4 kΩ. The voltage gain of the amplifier is:
1. Option A: 3000
2. Option B: 4000
3. Option C: 1000
4. Option D: 2000
The answer and explanation for this question are in NEET MIND Premium.
Question 23 (AIPMT 2012, Q23)
Ray Optics and Optical InstrumentsMedium
For the angle of minimum deviation of a prism to be equal to its refracting angle, the prism must be made of a material whose refractive index:
1. Option A: Lies between 2 and √2
2. Option B: Is less than 1
3. Option C: Is greater than 2
4. Option D: Lies between √2 and 1
The answer and explanation for this question are in NEET MIND Premium.
Question 24 (AIPMT 2012, Q24)
AtomsEasy
The transition from the state n = 3 to n = 1 in a hydrogen like atom results in ultraviolet radiation. Infrared radiation will be obtained in the transition from:
1. Option A: 3 → 2
2. Option B: 4 → 2
3. Option C: 4 → 3
4. Option D: 2 → 1
The answer and explanation for this question are in NEET MIND Premium.
Question 25 (AIPMT 2012, Q25)
Ray Optics and Optical InstrumentsMedium
A rod of length 10 cm lies along the principal axis of a concave mirror of focal length 10 cm in such a way that its end closer to the pole is 20 cm away from the mirror. The length of the image is:
1. Option A: 15 cm
2. Option B: 2.5 cm
3. Option C: 5 cm
4. Option D: 10 cm
The answer and explanation for this question are in NEET MIND Premium.
Question 26 (AIPMT 2012, Q26)
Thermal Properties of MatterMedium
A slab of stone of area 0.36 m² and thickness 0.1 m is exposed on the lower surface to steam at 100°C. A block of ice at 0°C rests on the upper surface of the slab. In one hour 4.8 kg of ice is melted. (Given latent heat of fusion of ice = 3.36 × 10 $^5$ J kg⁻¹) The thermal conductivity of slab is:
1. Option A: 1.29 J/m/s/°C
2. Option B: 2.05 J/m/s/°C
3. Option C: 1.02 J/m/s/°C
4. Option D: 1.24 J/m/s/°C
Show answer & explanationHide answer & explanation
Correct answer: (D) 1.24 J/m/s/°C
Explanation
Heat conducted in one hour melts ice: $Q = mL = 4.8 \times 3.36 \times 10^5$ $Q = 1.6128 \times 10^6\,J$ Using conduction formula: $Q = \frac{kA\Delta T\, t}{d}$ Where: - $A = 0.36\,m^2$ - $\Delta T = 100^\circ C$ - $t = 3600\,s$ - $d = 0.1\,m$ Therefore: $k = \frac{Qd}{A\Delta T t}$ $k = \frac{1.6128 \times 10^6 \times 0.1}{0.36 \times 100 \times 3600}$ $k \approx 1.24\,J\,m^{-1}\,s^{-1}\,^\circ C^{-1}$ Hence option (D) is correct.
Question 27 (AIPMT 2012, Q27)
Laws of MotionEasy
A stone is dropped from a height h. It hits the ground with a certain momentum P. If the same stone is dropped from a height 100% more than previous height, the momentum when it hits the ground will change by:
1. Option A: 41%
2. Option B: 200%
3. Option C: 100%
4. Option D: 68%
The answer and explanation for this question are in NEET MIND Premium.
Question 28 (AIPMT 2012, Q28)
Current ElectricityMedium
A cell having an emf ε and internal resistance r is connected across a variable external resistance R. As the resistance R is increased, the plot of potential difference V across R is given by:
1. Option A: Graph (1)
2. Option B: Graph (2)
3. Option C: Graph (3)
4. Option D: Graph (4)
The answer and explanation for this question are in NEET MIND Premium.
Question 29 (AIPMT 2012, Q29)
Magnetism and MatterMedium
A magnetic needle suspended parallel to a magnetic field requires √3 J of work to turn it through 60°. The torque needed to maintain the needle in this position will be:
1. Option A: 3 J
2. Option B: √3 J
3. Option C: 3/2 J
4. Option A: 2√3 J
Show answer & explanationHide answer & explanation
Correct answer: (A) 3 J, (A) 2√3 J
Explanation
Work done in rotating magnetic dipole: $W = MB(1 - \cos\theta)$ Given: $W = \sqrt{3}\,J, \quad \theta = 60^\circ$ $\sqrt{3} = MB\left(1 - \frac{1}{2}\right)$ $MB = 2\sqrt{3}$ Torque required: $\tau = MB\sin\theta$ $\tau = 2\sqrt{3} \times \frac{\sqrt{3}}{2} = 3\,J$ Hence option (A) is correct.
Question 30 (AIPMT 2012, Q30)
Electromagnetic WavesEasy
The ratio of amplitude of magnetic field to the amplitude of electric field for an electromagnetic wave propagating in vacuum is equal to:
1. Option A: Reciprocal of speed of light in vacuum
2. Option B: The ratio of magnetic permeability to the electric susceptibility of vacuum
3. Option C: Unity
4. Option D: The speed of light in vacuum
The answer and explanation for this question are in NEET MIND Premium.

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