AIPMT 2006 · Physics

AIPMT 2006 Physics Questions with Solutions

The AIPMT 2006 paper had 49 Physics questions from 24 chapters.

Current Electricity and Semiconductor Electronics had the most questions (4 each), followed by Dual Nature of Radiation and Matter, Motion in a Straight Line and 3 other chapters with 3 each.

1 question below has the answer and explanation free; the other 48 are in Premium.

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Physics questions: 49
Chapters covered: 24
Solved free here: 1 of 49
Easy / Medium / Hard: 18 / 25 / 6

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Chapter-wise: AIPMT 2006 Physics

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All 49 AIPMT 2006 Physics questions

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Question 1 (AIPMT 2006, Q2)
Current ElectricityHard
In the circuit shown, if a conducting wire is connected between points A and B, the current in this wire will:
1. Option A: Flow from A to B
2. Option B: Flow in the direction which will be decided by the value of V
3. Option C: Be zero
4. Option D: Flow from B to A
The answer and explanation for this question are in NEET MIND Premium.
Question 2 (AIPMT 2006, Q3)
OscillationsMedium
A rectangular block of mass m and area of cross-section A floats in a liquid of density ρ. If it is given a small vertical displacement from equilibrium it undergoes oscillation with a time period T. Then:
1. Option A: T ∝ √ρ
2. Option B: T ∝ (1/√A)
3. Option C: T ∝ (1/ρ)
4. Option D: T ∝ (1/√m)
The answer and explanation for this question are in NEET MIND Premium.
Question 3 (AIPMT 2006, Q4)
ThermodynamicsMedium
A Carnot engine whose sink is at 300 K has an efficiency of 40%. By how much should the temperature of source be increased so as to increase its efficiency by 50% of original efficiency?
1. Option A: 275 K
2. Option B: 175 K
3. Option C: 250 K
4. Option D: 225 K
The answer and explanation for this question are in NEET MIND Premium.
Question 4 (AIPMT 2006, Q5)
Moving Charges and MagnetismEasy
When a charged particle moving with velocity is subjected to a magnetic field of induction $\vec{B}$ , the force on it is non-zero. This implies that:
1. Option A: Angle between $\vec{v}$ and $\vec{B}$ is necessarily 90°
2. Option B: Angle between $\vec{v}$ and $\vec{B}$ can have any value other than 90°
3. Option C: Angle between $\vec{v}$ and $\vec{B}$ can have any value other than 0° and 180°
4. Option D: Angle between $\vec{v}$ and $\vec{B}$ is either 0° or 180°
The answer and explanation for this question are in NEET MIND Premium.
Question 5 (AIPMT 2006, Q6)
Current ElectricityMedium
Two cells, having the same emf, are connected in series through an external resistance R. Cells have internal resistances r₁ and r₂ (r₁ > r₂) respectively. When the circuit is closed, the potential difference across the first cell is zero. The value of R is:
1. Option A: r₁ − r₂
2. Option B: (r₁ + r₂)/2
3. Option C: (r₁ − r₂)/2
4. Option D: r₁ + r₂
The answer and explanation for this question are in NEET MIND Premium.
Question 6 (AIPMT 2006, Q7)
Electromagnetic WavesEasy
A black body at 1227°C emits radiations with maximum intensity at a wavelength of 5000 Å. If the temperature of the body is increased by 1000°C, the maximum intensity will be observed at:
1. Option A: 7500 Å
2. Option B: 1500 Å
3. Option C: 6000 Å
4. Option D: 3000 Å
The answer and explanation for this question are in NEET MIND Premium.
Question 7 (AIPMT 2006, Q8)
Moving Charges and MagnetismHard
Two circular coils 1 and 2 are made from the same wire but the radius of the 1st coil is twice that of the 2nd coil. What is the ratio of potential difference applied across them so that the magnetic field at their centres is the same?
1. Option A: 5
2. Option B: 4
3. Option C: 7
4. Option D: 2
The answer and explanation for this question are in NEET MIND Premium.
Question 8 (AIPMT 2006, Q9)
Electromagnetic InductionEasy
A transistor-oscillator using a resonant circuit with an inductor L (of negligible resistance) and a capacitor C in series produce oscillations of frequency f. If L is doubled and C is changed to 4C, the frequency will be:
1. Option A: f/4
2. Option B: 8f
3. Option C: f/2√2
4. Option D: 2f
The answer and explanation for this question are in NEET MIND Premium.
Question 9 (AIPMT 2006, Q10)
NucleiMedium
The binding energy of deuteron is 2.2 MeV and that of ⁴₂He is 28 MeV. If two deuterons are fused to form one ⁴₂He then the energy released is:
1. Option A: 21.6 MeV
2. Option B: 23.6 MeV
3. Option C: 17.2 MeV
4. Option D: 28.2 MeV
The answer and explanation for this question are in NEET MIND Premium.
Question 10 (AIPMT 2006, Q11)
NucleiEasy
In a radioactive material the activity at time t₁ is R₁ and at a later time t₂, it is R₂. If the decay constant of the material is λ, then:
1. Option A: R₁ = R₂ e⁻ˡ⁽ᵗ¹⁻ᵗ²⁾
2. Option B: R₁ = R₂eˡ⁽ᵗ¹⁻ᵗ²⁾
3. Option C: R₁ = R₂e⁽ᵗ²⁄ᵗ¹⁾
4. Option D: R₁ = R₂
The answer and explanation for this question are in NEET MIND Premium.
Question 11 (AIPMT 2006, Q12)
AtomsHard
Ionization potential of hydrogen atom is 13.6 eV. Hydrogen atoms in the ground state are excited by monochromatic radiation of photon energy 12.1 eV. According to Bohr's theory, the spectral lines emitted by hydrogen will be:
1. Option A: Two
2. Option B: Three
3. Option C: Four
4. Option D: One
The answer and explanation for this question are in NEET MIND Premium.
Question 12 (AIPMT 2006, Q13)
Work, Energy and PowerEasy
The potential energy of a long spring when stretched by 2 cm is U. If the spring is stretched by 8 cm, the potential energy stored in it is:
1. Option A: 4U
2. Option B: U/8
3. Option C: 16U
4. Option D: U/4
The answer and explanation for this question are in NEET MIND Premium.
Question 13 (AIPMT 2006, Q14)
Motion in a PlaneMedium
For angles of projection of a projectile at angles (45° − θ) and (45° + θ), the horizontal ranges described by the projectile are in the ratio of:
1. Option A: 1 : 1
2. Option B: 2 : 3
3. Option C: 1 : 2
4. Option D: 3 : 2
The answer and explanation for this question are in NEET MIND Premium.
Question 14 (AIPMT 2006, Q15)
Laws of MotionHard
A body of mass 3 kg is under a constant force which causes a displacement s in metres given by the relation s = (1/3)t², where t is in seconds. Work done by the force in 2 s is:
1. Option A: (17/3) J
2. Option B: (3/8) J
3. Option C: (8/3) J
4. Option D: (3/17) J
The answer and explanation for this question are in NEET MIND Premium.
Question 15 (AIPMT 2006, Q16)
Motion in a Straight LineMedium
A particle moves along a straight line OX. At a time t (in seconds), the distance x (in metres) of the particle from O is given by x = 40 + 12t − t³. How long would the particle travel before coming to rest?
1. Option A: 14 m
2. Option B: 28 m
3. Option C: 56 m
4. Option D: 70 m
The answer and explanation for this question are in NEET MIND Premium.
Question 16 (AIPMT 2006, Q17)
Units and MeasurementsMedium
The velocity v of a particle at time t is given by v = at + (b/(t + c)), where a, b and c are constants. The dimensions of a, b and c are respectively:
1. Option A: [LT⁻²], [L] and [T]
2. Option B: [L], [T] and [LT²]
3. Option C: [L²T⁻²], [LT] and [L]
4. Option D: [L], [LT] and [T²]
The answer and explanation for this question are in NEET MIND Premium.
Question 17 (AIPMT 2006, Q18)
Ray Optics and Optical InstrumentsMedium
A microscope is focussed on a mark on a piece of paper and then a slab of glass of thickness 3 cm and refractive index 1.5 is placed over the mark. How should the microscope be moved to get the mark in focus again?
1. Option A: 1 cm upward
2. Option B: 0.5 cm downward
3. Option C: 1 cm downward
4. Option D: 0.5 cm upward
The answer and explanation for this question are in NEET MIND Premium.
Question 18 (AIPMT 2006, Q19)
Work, Energy and PowerEasy
300 J of work is done in sliding a 2 kg block up an inclined plane of height 10 m. Taking g = 10 m/s², work done against friction is:
1. Option A: 50 J
2. Option B: 100 J
3. Option C: Zero
4. Option D: 150 J
The answer and explanation for this question are in NEET MIND Premium.
Question 19 (AIPMT 2006, Q20)
Semiconductor ElectronicsEasy
A transistor is operated in common emitter configuration at constant collector voltage Vc = 1.5 V such that a change in the base current from 100 μA to 150 μA produces a change in the collector current from 5 mA to 10 mA. The current gain (β) is:
1. Option A: 50
2. Option B: 75
3. Option C: 100
4. Option D: 125
The answer and explanation for this question are in NEET MIND Premium.
Question 20 (AIPMT 2006, Q21)
Semiconductor ElectronicsMedium
A forward biased diode is:
1. Option A: Circuit (1)
2. Option B: Circuit (2)
3. Option C: Circuit (3)
4. Option D: Circuit (4)
The answer and explanation for this question are in NEET MIND Premium.
Question 21 (AIPMT 2006, Q22)
Dual Nature of Radiation and MatterEasy
A photo-cell employs photoelectric effect to convert:
1. Option A: Change in the frequency of light into a change in electric voltage
2. Option B: Change in the intensity of illumination into a change in photoelectric current
3. Option C: Change in the intensity of illumination into a change in the work function of the photocathode
4. Option D: Change in the frequency of light into a change in electric current
The answer and explanation for this question are in NEET MIND Premium.
Question 22 (AIPMT 2006, Q23)
Alternating CurrentEasy
The core of a transformer is laminated because:
1. Option A: Energy losses due to eddy currents may be minimised
2. Option B: The weight of the transformer may be reduced
3. Option C: Rusting of the core may be prevented
4. Option D: Ratio of voltage in primary and secondary may be increased
The answer and explanation for this question are in NEET MIND Premium.
Question 23 (AIPMT 2006, Q24)
Electromagnetic InductionMedium
Two coils of self-inductances 2 mH and 8 mH are placed so close together that the effective flux in one coil is completely linked with the other. The mutual inductance between these coils is:
1. Option A: 8 mH
2. Option B: 12 mH
3. Option C: 4 mH
4. Option D: 16 mH
The answer and explanation for this question are in NEET MIND Premium.
Question 24 (AIPMT 2006, Q25)
Semiconductor ElectronicsMedium
In a discharge tube ionization of enclosed gas is produced due to collisions between:
1. Option A: Positive ions and neutral atoms/molecules
2. Option B: Negative electrons and neutral atoms/molecules
3. Option C: Photons and neutral atoms/molecules
4. Option D: Neutral gas atoms/molecules
The answer and explanation for this question are in NEET MIND Premium.
Question 25 (AIPMT 2006, Q26)
Dual Nature of Radiation and MatterMedium
When photons of energy hν fall on an aluminium plate (of work function E₀), photoelectrons of maximum kinetic energy K are ejected. If the frequency of the radiation is doubled, the maximum kinetic energy of the ejected photoelectrons will be:
1. Option A: K + E₀
2. Option B: 2K
3. Option C: K
4. Option D: K + hν
The answer and explanation for this question are in NEET MIND Premium.
Question 26 (AIPMT 2006, Q27)
Semiconductor ElectronicsMedium
The following figure shows a logic gate circuit with two inputs A and B and the output C. The voltage waveforms of A, B and C are shown below. The logic circuit gate is:
1. Option A: AND gate
2. Option B: NAND gate
3. Option C: NOR gate
4. Option D: OR gate
The answer and explanation for this question are in NEET MIND Premium.
Question 27 (AIPMT 2006, Q28)
Alternating CurrentMedium
A coil of inductive reactance 31 Ω has a resistance of 8 Ω. It is placed in series with a condenser of capacitive reactance 25 Ω. The combination is connected to an a.c. source of 110 V. The power factor of the circuit is:
1. Option A: 0.40
2. Option B: 0.128
3. Option C: 0.80
4. Option D: 0.66
The answer and explanation for this question are in NEET MIND Premium.
Question 28 (AIPMT 2006, Q29)
Laws of MotionMedium
A 0.5 kg ball moving with a speed of 12 m/s strikes a hard wall at an angle of 30° with the wall. It is reflected with the same speed and at the same angle. If the ball is in contact with the wall for 0.25 s, the average force acting on the wall is:
1. Option A: 8 N
2. Option B: 24 N
3. Option C: 16 N
4. Option D: 96 N
The answer and explanation for this question are in NEET MIND Premium.
Question 29 (AIPMT 2006, Q30)
System of Particles and Rotational MotionHard
The moment of inertia of a uniform circular disc of radius R and mass M about an axis touching the disc at its diameter and normal to the disc is:
1. Option A: MR²
2. Option B: (2/5) MR²
3. Option C: (3/5) MR²
4. Option D: (5/6) MR²
The answer and explanation for this question are in NEET MIND Premium.
Question 30 (AIPMT 2006, Q31)
Dual Nature of Radiation and MatterMedium
The momentum of a photon of energy 1 MeV in kg m/s will be:
1. Option A: 0.33 × 10⁻²¹
2. Option B: 8 × 10⁻²⁴
3. Option C: 5 × 10⁻²²
4. Option D: 5 × 10⁻²³
The answer and explanation for this question are in NEET MIND Premium.
Question 31 (AIPMT 2006, Q32)
NucleiMedium
The radius of germanium (Ge) nucleus is measured to be twice the radius of ⁹₄Be. The number of nucleons in Ge are:
1. Option A: 73
2. Option B: 74
3. Option C: 76
4. Option D: 72
The answer and explanation for this question are in NEET MIND Premium.
Question 32 (AIPMT 2006, Q33)
Kinetic TheoryEasy
The molar specific heat at constant pressure of an ideal gas is (7/2)R. The ratio of specific heat at constant pressure to that at constant volume is:
1. Option A: 7/5
2. Option B: 6/7
3. Option C: 9/7
4. Option D: 4/7
The answer and explanation for this question are in NEET MIND Premium.
Question 33 (AIPMT 2006, Q34)
GravitationMedium
The earth is assumed to be a sphere of radius R. A platform is arranged at a height R from the surface of the earth. The escape velocity of a body from this platform is fve, where ve is its escape velocity from the surface of the earth. The value of f is:
1. Option A: 2
2. Option B: 1/√2
3. Option C: 1/3
4. Option D: 1
The answer and explanation for this question are in NEET MIND Premium.
Question 34 (AIPMT 2006, Q35)
WavesEasy
Two sound waves with wavelengths 5.0 m and 5.5 m respectively each propagate in a gas with velocity 330 m/s. We expect the following number of beats per second:
1. Option A: 12
2. Option B: 0
3. Option C: 3
4. Option D: 6
The answer and explanation for this question are in NEET MIND Premium.
Question 35 (AIPMT 2006, Q36)
Current ElectricityMedium
Power dissipated across the 8 Ω resistor in the circuit shown here is 2 W. The power dissipated across the 3 Ω resistor is:
1. Option A: 6.0
2. Option B: 1.5
3. Option C: 0.45
4. Option D: 3.0
The answer and explanation for this question are in NEET MIND Premium.
Question 36 (AIPMT 2006, Q37)
Current ElectricityEasy
Kirchhoff's first and second laws for electrical circuits are consequences of:
1. Option A: Conservation of energy
2. Option B: Conservation of electric charge and energy respectively
3. Option C: Conservation of electric charge
4. Option D: Conservation of energy and electric charge respectively
The answer and explanation for this question are in NEET MIND Premium.
Question 37 (AIPMT 2006, Q38)
WavesMedium
A transverse wave propagating along the x-axis is represented by y(x,t) = 8.0 sin(0.5πx − 4πt − π/4), where x is in metres and t is in seconds. The speed of the wave is:
1. Option A: 8π m/s
2. Option B: 0.5π m/s
3. Option C: (π/4) m/s
4. Option D: 8 m/s
The answer and explanation for this question are in NEET MIND Premium.
Question 38 (AIPMT 2006, Q39)
OscillationsMedium
The time of reverberation of a room A is one second. What will be the time (in seconds) of reverberation of a room having all the dimensions double of those of room A?
1. Option A: 2
2. Option B: 4
3. Option C: 1/2
4. Option D: 8
The answer and explanation for this question are in NEET MIND Premium.
Question 39 (AIPMT 2006, Q40)
WavesEasy
Which one of the following statements is true?
1. Option A: Both light and sound waves in air are transverse
2. Option B: The sound waves in air are longitudinal while the light waves are transverse
3. Option C: Both light and sound waves in air are longitudinal
4. Option D: Both light and sound waves can travel in vacuum
The answer and explanation for this question are in NEET MIND Premium.
Question 40 (AIPMT 2006, Q41)
Magnetism and MatterEasy
Above Curie temperature:
1. Option A: A ferromagnetic substance becomes paramagnetic
2. Option B: A paramagnetic substance becomes diamagnetic
3. Option C: A diamagnetic substance becomes paramagnetic
4. Option D: A paramagnetic substance becomes ferromagnetic
Show answer & explanationHide answer & explanation
Correct answer: (A) A ferromagnetic substance becomes paramagnetic
Explanation
Above the Curie temperature, thermal agitation destroys the spontaneous alignment of magnetic domains in a ferromagnetic material. As a result, the material behaves as a paramagnetic substance. Hence option (A) is correct.
Question 41 (AIPMT 2006, Q42)
Ray Optics and Optical InstrumentsEasy
A convex lens and a concave lens, each having same focal length of 25 cm, are put in contact to form a combination of lenses. The power in diopters of the combination is:
1. Option A: 25
2. Option B: 50
3. Option C: Infinite
4. Option D: Zero
The answer and explanation for this question are in NEET MIND Premium.
Question 42 (AIPMT 2006, Q43)
Electric Charges and FieldsMedium
An electric dipole of moment $\vec{P}$ is lying along a uniform electric field. The work done in rotating the dipole by 90° is:
1. Option A: √2 pE
2. Option B: pE/2
3. Option C: 2pE
4. Option D: pE
The answer and explanation for this question are in NEET MIND Premium.
Question 43 (AIPMT 2006, Q44)
Electrostatic Potential and CapacitanceEasy
A parallel plate air capacitor is charged to a potential difference of V volts. After disconnecting the charging battery the distance between the plates of the capacitor is increased using an insulating handle. As a result the potential difference between the plates:
1. Option A: Decreases
2. Option B: Does not change
3. Option C: Becomes zero
4. Option D: Increases
The answer and explanation for this question are in NEET MIND Premium.
Question 44 (AIPMT 2006, Q45)
Motion in a Straight LineEasy
A car runs at a constant speed on a circular track of radius 100 m, taking 62.8 s for every circular lap. The average velocity and average speed for each circular lap respectively are:
1. Option A: 0, 0
2. Option B: 0, 10 m/s
3. Option C: 10 m/s, 20 m/s
4. Option D: 20 m/s, 0
The answer and explanation for this question are in NEET MIND Premium.
Question 45 (AIPMT 2006, Q46)
Electric Charges and FieldsMedium
A square surface of side L m is in the plane of the paper. A uniform electric field $\vec{E}$ (V/m) is also in the plane of the paper and is limited only to the lower half of the square surface (see figure). The electric flux in SI units associated with the surface is:
1. Option A: EL²/(2ε₀)
2. Option B: EL²/2
3. Option C: Zero
4. Option D: EL²
The answer and explanation for this question are in NEET MIND Premium.
Question 46 (AIPMT 2006, Q47)
System of Particles and Rotational MotionHard
A tube of length L is filled completely with an incompressible liquid of mass M and closed at both ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity ω. The force exerted by the liquid at the other end is:
1. Option A: (MLω²)/2
2. Option B: (ML²ω)/2
3. Option C: 2MLω²
4. Option D: (ML²ω²)/2
The answer and explanation for this question are in NEET MIND Premium.
Question 47 (AIPMT 2006, Q48)
System of Particles and Rotational MotionMedium
A uniform rod of length l and mass m is free to rotate in a vertical plane about A. The rod is initially in horizontal position and is released. The initial angular acceleration of the rod is: (Moment of inertia of rod about A is (ml²/3))
1. Option A: 3g/2l
2. Option B: 2l/3g
3. Option C: 3g/2l²
4. Option D: mg(l/2)
The answer and explanation for this question are in NEET MIND Premium.
Question 48 (AIPMT 2006, Q49)
Motion in a PlaneMedium
The vectors $\vec{A}$ and $\vec{B}$ are such that a: The angle between the two vectors is:
1. Option A: 90°
2. Option B: 60°
3. Option C: 30°
4. Option D: 0°
The answer and explanation for this question are in NEET MIND Premium.
Question 49 (AIPMT 2006, Q50)
Motion in a Straight LineEasy
Two bodies, A (of mass 1 kg) and B (of mass 3 kg), are dropped from heights of 16 m and 25 m respectively. The ratio of the time taken by them to reach the ground is:
1. Option A: 5/4
2. Option B: 8/5
3. Option C: 5/8
4. Option D: 4/5
The answer and explanation for this question are in NEET MIND Premium.

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