AIPMT 2010 · Physics

AIPMT 2010 Physics Questions with Solutions

The AIPMT 2010 paper had 32 Physics questions from 17 chapters.

Moving Charges and Magnetism had the most questions (5), followed by System of Particles and Rotational Motion with 4.

1 question below has the answer and explanation free; the other 31 are in Premium.

Physics questions
32
Chapters covered
17
Solved free here
1 of 32
Easy / Medium / Hard
10 / 18 / 4

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

Chapter-wise: AIPMT 2010 Physics

How many questions each chapter had in AIPMT 2010. Open a chapter for its questions from every year.

  1. Moving Charges and Magnetism5 Qs
  2. System of Particles and Rotational Motion4 Qs
  3. Thermodynamics3 Qs
  4. Dual Nature of Radiation and Matter2 Qs
  5. Gravitation2 Qs
  6. Motion in a Plane2 Qs
  7. Nuclei2 Qs
  8. Ray Optics and Optical Instruments2 Qs
  9. Semiconductor Electronics2 Qs
  10. Atoms1 Q
  11. Electric Charges and Fields1 Q
  12. Electromagnetic Induction1 Q
  13. Electromagnetic Waves1 Q
  14. Electrostatic Potential and Capacitance1 Q
  15. Kinetic Theory1 Q
  16. Motion in a Straight Line1 Q
  17. Work, Energy and Power1 Q

All 32 AIPMT 2010 Physics questions

In paper order. Try each one, then open the answer where it is shown.

  1. Question 1 (AIPMT 2010, Q1)

    Moving Charges and MagnetismHard
    A current loop consists of two identical semicircular parts each of radius R, one lying in the x-y plane and the other in x-z plane. If the current in the loop is i. The resultant magnetic field due to the two semicircular parts at their common centre is
    1. Option A: μ0i22R\frac{\mu_0 i}{2\sqrt{2}R}
    2. Option B: μ0i2R\frac{\mu_0 i}{2R}
    3. Option C: μ0i4R\frac{\mu_0 i}{4R}
    4. Option D: μ0i2R\frac{\mu_0 i}{\sqrt{2}R}

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  2. Question 2 (AIPMT 2010, Q2)

    Semiconductor ElectronicsEasy
    Two following figures show a logic gate circuit with two inputs A and B and the output Y. The voltage wave forms of A, B and Y are as given. The logic gate is
    1. Option A: NOR gate
    2. Option B: OR gate
    3. Option C: AND gate
    4. Option D: NAND gate

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  3. Question 3 (AIPMT 2010, Q3)

    Electrostatic Potential and CapacitanceEasy
    Two parallel metal plates having charges +Q and -Q face each other at a certain distance between them. If the plates are now dipped in kerosene oil tank, the electric field between the plates will
    1. Option A: become zero
    2. Option B: increase
    3. Option C: decrease
    4. Option D: remain same

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  4. Question 4 (AIPMT 2010, Q4)

    Electric Charges and FieldsEasy
    The electric field at a distance 3R2\frac{3R}{2} from the centre of a charged conducting spherical shell of radius R is E. The electric field at a distance R2\frac{R}{2} from the centre of the sphere is
    1. Option A: zero
    2. Option B: E
    3. Option C: E2\frac{E}{2}
    4. Option D: E3\frac{E}{3}

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  5. Question 5 (AIPMT 2010, Q5)

    Motion in a Straight LineMedium
    A student measures the distance traversed in free fall of a body, initially at rest, in a given time. He uses this data to estimate g, the acceleration due to gravity. If the maximum percentage errors in measurement of the distance and the time are e1e_1 and e2e_2 respectively, then the percentage error in the estimation of g is
    1. Option A: e2−e1e_2-e_1
    2. Option B: e1+2e2e_1+2e_2
    3. Option C: e1+e2e_1+e_2
    4. Option D: e1−2e2e_1-2e_2
    Show answer & explanation

    Correct answer: (B) e1+2e2e_1+2e_2

    Explanation

    For free fall: h=12gt2h=\frac{1}{2}gt^2 Therefore, g=2ht2g=\frac{2h}{t^2} Maximum fractional error: Δgg=Δhh+2Δtt\frac{\Delta g}{g}=\frac{\Delta h}{h}+2\frac{\Delta t}{t} Hence percentage error: e1+2e2e_1+2e_2

  6. Question 6 (AIPMT 2010, Q6)

    Dual Nature of Radiation and MatterEasy
    When monochromatic radiation of intensity I falls on a metal surface, the number of photoelectrons and their maximum kinetic energy are N and T respectively. If the intensity of radiation becomes 2I, the number of emitted electrons and their maximum kinetic energy are respectively
    1. Option A: N and 2T
    2. Option B: 2N and T
    3. Option C: 2N and 2T
    4. Option D: N and T

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  7. Question 7 (AIPMT 2010, Q7)

    Electromagnetic WavesMedium
    The electric field of an electromagnetic wave in free space is given by E⃗=10cos⁡(107t+kx)j^ V/m\vec{E} = 10\cos(10^7 t + kx)\hat{j}\ \text{V/m}, where t and x are in seconds and metres respectively. It can be inferred that: (i) the wavelength λ is 188.4 m (ii) the wave number k is 0.33 rad/m (iii) the wave amplitude is 10 V/m (iv) the wave is propagating along +x direction. Which one of the following pairs of statements is correct?
    1. Option A: (iii) and (iv)
    2. Option B: (i) and (ii)
    3. Option C: (ii) and (iii)
    4. Option D: (i) and (iii)

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  8. Question 8 (AIPMT 2010, Q8)

    Ray Optics and Optical InstrumentsMedium
    The speed of light in media M1M_1 and M2M_2 are 1.5×108 m/s1.5 \times 10^8\ \text{m/s} and 2.0×108 m/s2.0 \times 10^8\ \text{m/s} respectively. A ray of light enters from medium M1M_1 to M2M_2 at an incidence angle i. If the ray suffers total internal reflection, the value of i is
    1. Option A: Equal to sin⁡−1(23)\sin^{-1}\left(\frac{2}{3}\right)
    2. Option B: Equal to or less than sin⁡−1(35)\sin^{-1}\left(\frac{3}{5}\right)
    3. Option C: Equal to or greater than sin⁡−1(34)\sin^{-1}\left(\frac{3}{4}\right)
    4. Option D: Less than sin⁡−1(23)\sin^{-1}\left(\frac{2}{3}\right)

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  9. Question 9 (AIPMT 2010, Q9)

    Ray Optics and Optical InstrumentsEasy
    A ray of light is incident on a 60° prism at the minimum deviation position. The angle of refraction at the first face (or the angle of incidence at the second face) of the prism is
    1. Option A: 0°
    2. Option B: 30°
    3. Option C: 45°
    4. Option D: 60°

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  10. Question 10 (AIPMT 2010, Q10)

    Semiconductor ElectronicsEasy
    For transistor action: (1) Base, emitter and collector regions should have similar size and doping concentrations. (2) The base region must be very thin and lightly doped. (3) The emitter-base junction is forward biased and base-collector junction is reverse biased. (4) Both the emitter-base junction as well as the base-collector junction are forward biased.
    1. Option A: (4) and (1)
    2. Option B: (1) and (2)
    3. Option C: (2) and (3)
    4. Option D: (3) and (4)

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  11. Question 11 (AIPMT 2010, Q11)

    GravitationMedium
    The additional kinetic energy to be provided to a satellite of mass m revolving around a planet of mass M, to transfer it from a circular orbit of radius R1R_1 to another of radius R2R_2 (R2>R1R_2 > R_1) is
    1. Option A: Option (1)
    2. Option B: Option (2)
    3. Option C: Option (3)
    4. Option D: Option (4)

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  12. Question 12 (AIPMT 2010, Q12)

    Motion in a PlaneEasy
    The speed of a projectile at its maximum height is half of its initial speed. The angle of projection is
    1. Option A: 60°
    2. Option B: 15°
    3. Option C: 45°
    4. Option D: 30°

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  13. Question 13 (AIPMT 2010, Q13)

    System of Particles and Rotational MotionMedium
    From a circular disc of radius RR and mass 9M9M, a small disc of mass MM and radius R3\dfrac{R}{3} is removed concentrically. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through its centre is
    1. Option A: 409MR2\dfrac{40}{9}MR^2
    2. Option B: MR2MR^2
    3. Option C: 4MR24MR^2
    4. Option D: 49MR2\dfrac{4}{9}MR^2

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  14. Question 14 (AIPMT 2010, Q14)

    Motion in a PlaneMedium
    A particle moves in the xyxy-plane according to the rule x=asin⁡ωtx = a\sin\omega t y=acos⁡ωty = a\cos\omega t The particle follows
    1. Option A: an elliptical path
    2. Option B: a circular path
    3. Option C: a parabolic path
    4. Option D: a straight line path inclined equally to x and y axes

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  15. Question 15 (AIPMT 2010, Q15)

    Moving Charges and MagnetismMedium
    A closely wound solenoid of 2000 turns and area of cross-section 1.5×10−4 m21.5 \times 10^{-4}\,m^2 carries a current of 2.0 A2.0\,A. It is suspended through its centre and perpendicular to its length, allowing it to turn in a horizontal plane in a uniform magnetic field 5×10−2 T5 \times 10^{-2}\,T. The magnetic angle of dip is 30∘30^{\circ} with the axis of the solenoid. The torque on the solenoid will be
    1. Option A: 3×10−3 Nm3 \times 10^{-3}\,Nm
    2. Option B: 1.5×10−3 Nm1.5 \times 10^{-3}\,Nm
    3. Option C: 1.5×10−2 Nm1.5 \times 10^{-2}\,Nm
    4. Option D: 3×10−2 Nm3 \times 10^{-2}\,Nm

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  16. Question 16 (AIPMT 2010, Q16)

    NucleiMedium
    The decay constant of a radioisotope is λ\lambda. If A1A_1 and A2A_2 are its activities at times t1t_1 and t2t_2 respectively, the number of nuclei which have decayed during the time interval (t1−t2)(t_1 - t_2) is
    1. Option A: A₁t₁ − A₂t₂
    2. Option B: A₁ − A₂
    3. Option C: (A₁ − A₂)/λ
    4. Option D: λ(A₁ − A₂)

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  17. Question 17 (AIPMT 2010, Q17)

    Moving Charges and MagnetismHard
    A particle having a mass of 10−2 kg10^{-2}\,kg carries a charge of 5×10−8 C5 \times 10^{-8}\,C. The particle is given an initial horizontal velocity of 105 ms−110^5\,ms^{-1} in the presence of electric field E⃗\vec{E} and magnetic field B⃗\vec{B}. To keep the particle moving in a horizontal direction, it is necessary that (i) B⃗\vec{B} should be perpendicular to the direction of velocity and E⃗\vec{E} should be along the direction of velocity. (ii) Both B⃗\vec{B} and E⃗\vec{E} should be along the direction of velocity. (iii) Both B⃗\vec{B} and E⃗\vec{E} are mutually perpendicular and perpendicular to the direction of velocity. (iv) B⃗\vec{B} should be along the direction of velocity and E⃗\vec{E} should be perpendicular to the direction of velocity. Which one of the following pairs of statements is possible?
    1. Option A: (i) and (iii)
    2. Option B: (iii) and (iv)
    3. Option C: (ii) and (iii)
    4. Option D: (ii) and (iv)

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  18. Question 18 (AIPMT 2010, Q18)

    NucleiMedium
    The binding energy per nucleon in deuterium and helium nuclei are 1.1 MeV and 7.0 MeV, respectively. When two deuterium nuclei fuse to form a helium nucleus the energy released in the fusion is
    1. Option A: 23.6 MeV
    2. Option B: 2.2 MeV
    3. Option C: 28.0 MeV
    4. Option D: 30.2 MeV

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  19. Question 19 (AIPMT 2010, Q19)

    AtomsMedium
    The electron in the hydrogen atom jumps from excited state (n = 3) to its ground state (n = 1) and the photons thus emitted irradiate a photosensitive material. If the work function of the material is 5.1 eV, the stopping potential is estimated to be (the energy of the electron in nth state Eₙ = −(13.6 / n² eV))
    1. Option A: 5.1 V
    2. Option B: 12.1 V
    3. Option C: 17.2 V
    4. Option D: 7 V

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  20. Question 20 (AIPMT 2010, Q20)

    Kinetic TheoryEasy
    If cpc_p and cvc_v denote the specific heats (per unit mass) of an ideal gas of molecular weight M where R is the molecular weight constant, then
    1. Option A: cpc_p - cvc_v = R/M²
    2. Option B: cpc_p - cvc_v = R
    3. Option C: cpc_p - cvc_v = R/M
    4. Option D: cpc_p - cvc_v = MR

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  21. Question 21 (AIPMT 2010, Q21)

    Electromagnetic InductionHard
    A condenser of capacity C is charged to a potential difference of V₁. The plates of the condenser are then connected to an ideal inductor of inductance L. The current through the inductor when the potential difference across the condenser reduces to V₂ is
    1. Option A: Option (1)
    2. Option B: Option (2)
    3. Option C: Option (3)
    4. Option D: Option (4)

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  22. Question 22 (AIPMT 2010, Q22)

    GravitationMedium
    The dependence of acceleration due to gravity g on the distance r from the centre of the earth, assumed to be a sphere of radius R of uniform density is as shown in figures below. The correct figure is
    1. Option A: Figure (1)
    2. Option B: Figure (2)
    3. Option C: Figure (3)
    4. Option D: Figure (4)

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  23. Question 23 (AIPMT 2010, Q23)

    System of Particles and Rotational MotionMedium
    A solid cylinder and a hollow cylinder, both of the same mass and same external diameter are released from the same height at the same time on an inclined plane. Both roll down without slipping. Which one will reach the bottom first?
    1. Option A: Both together only when angle of inclination of plane is 45°
    2. Option B: Both together
    3. Option C: Hollow cylinder
    4. Option D: Solid cylinder

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  24. Question 24 (AIPMT 2010, Q24)

    ThermodynamicsMedium
    The thermo e.m.f. E in volts of a certain thermocouple is found to vary with temperature difference θ in °C between the two junctions according to the relation: E=30θ−θ215E = 30\theta - \frac{\theta^2}{15} The neutral temperature for the thermo-couple will be:
    1. Option A: 450°C
    2. Option B: 400°C
    3. Option C: 225°C
    4. Option D: 30°C

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  25. Question 25 (AIPMT 2010, Q25)

    System of Particles and Rotational MotionHard
    Consider the following statements: (i) Centre of gravity (C.G.) of a body is the point at which the weight of the body acts. (ii) Centre of mass coincides with the centre of gravity if the earth is assumed to have infinitely large radius. (iii) To evaluate the gravitational field intensity due to any body at an external point, the entire mass of the body can be considered to be concentrated at its C.G. (iv) The radius of gyration of any body rotating about an axis is the length of the perpendicular dropped from the C.G. of the body to the axis. Which one of the following pairs of statements is correct?
    1. Option A: (iv) and (i)
    2. Option B: (i) and (ii)
    3. Option C: (ii) and (iii)
    4. Option D: (iii) and (iv)

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  26. Question 26 (AIPMT 2010, Q26)

    Moving Charges and MagnetismEasy
    The magnetic moment of a diamagnetic atom is:
    1. Option A: much greater than one
    2. Option B: one
    3. Option C: between zero and one
    4. Option D: equal to zero

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  27. Question 27 (AIPMT 2010, Q27)

    Moving Charges and MagnetismMedium
    Two identical bar magnets are fixed with their centres at a distance d apart. A stationary charge Q is placed at P in between the two magnets at a distance D from the centre O as shown in the figure. The force on the charge Q is:
    1. Option A: Zero
    2. Option B: directed along OP
    3. Option C: directed along PO
    4. Option D: directed perpendicular to the plane of paper

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  28. Question 28 (AIPMT 2010, Q28)

    Work, Energy and PowerMedium
    A particle of mass M, starting from rest, undergoes uniform acceleration. If the speed acquired in time T is V, the power delivered to the particle is:
    1. Option A: MV2T\frac{MV^2}{T}
    2. Option B: 12MV2T2\frac{1}{2}\frac{MV^2}{T^2}
    3. Option C: MV2T2\frac{MV^2}{T^2}
    4. Option D: 12MV2T\frac{1}{2}\frac{MV^2}{T}

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  29. Question 29 (AIPMT 2010, Q29)

    System of Particles and Rotational MotionMedium
    A thin circular ring of mass M and radius r is rotating about its axis with constant angular velocity ω. Two objects each of mass m are attached gently to the opposite ends of a diameter of the ring. The ring now rotates with angular velocity:
    1. Option A: (M+2m)ω2m\frac{(M+2m)\omega}{2m}
    2. Option B: 2MωM+2m\frac{2M\omega}{M+2m}
    3. Option C: (M+2m)ωM\frac{(M+2m)\omega}{M}
    4. Option D: MωM+2m\frac{M\omega}{M+2m}

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  30. Question 30 (AIPMT 2010, Q30)

    ThermodynamicsMedium
    A monoatomic gas at pressure P₁ and volume V₁ is compressed adiabatically to 1/8th of its original volume. What is the final pressure of the gas?
    1. Option A: 64P₁
    2. Option B: P₁
    3. Option C: 16P₁
    4. Option D: 32P₁

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  31. Question 31 (AIPMT 2010, Q38)

    ThermodynamicsEasy
    Three moles of an ideal gas expanded spontaneously into vacuum. The work done will be:
    1. Option A: Infinite
    2. Option B: 3 Joules
    3. Option C: 9 Joules
    4. Option D: Zero

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  32. Question 32 (AIPMT 2010, Q40)

    Dual Nature of Radiation and MatterMedium
    A 0.66 kg ball is moving with a speed of 100 m/s. The associated wavelength will be: (h = 6.6 × 10⁻³⁴ Js)
    1. Option A: 6.6 × 10⁻³² m
    2. Option B: 6.6 × 10⁻³⁴ m
    3. Option C: 1.0 × 10⁻³⁵ m
    4. Option D: 1.0 × 10⁻³² m

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