AIPMT 2005 · Physics

AIPMT 2005 Physics Questions with Solutions

The AIPMT 2005 paper had 49 Physics questions from 22 chapters.

Oscillations had the most questions (5), followed by Current Electricity, Nuclei and Semiconductor Electronics with 4 each.

2 questions below have the answer and explanation free; the other 47 are in Premium.

Practise AIPMT 2005 Physics free

Physics questions: 49
Chapters covered: 22
Solved free here: 2 of 49
Easy / Medium / Hard: 15 / 28 / 6

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

Chapter-wise: AIPMT 2005 Physics

How many questions each chapter had in AIPMT 2005. Open a chapter for its questions from every year.

All 49 AIPMT 2005 Physics questions

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

Question 1 (AIPMT 2005, Q1)
Moving Charges and MagnetismHard
A coil in the shape of an equilateral triangle of side $l$ is suspended between the pole pieces of a permanent magnet such that its plane is parallel to the magnetic field $\vec{B}$ . If due to a current $i$ in the triangle a torque $\tau$ acts on it, the side of the triangle is:
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 2 (AIPMT 2005, Q2)
Current ElectricityMedium
Two batteries, one of emf $18\,V$ and internal resistance $2\,\Omega$ and the other of emf $12\,V$ and internal resistance $1\,\Omega$ , are connected as shown. The voltmeter $V$ will record a reading of:
1. Option A: 7 V
2. Option B: 21 V
3. Option C: 14 V
4. Option D: 28 V
The answer and explanation for this question are in NEET MIND Premium.
Question 3 (AIPMT 2005, Q3)
OscillationsEasy
A point source emits sound equally in all directions in a non-absorbing medium. Two points $P$ and $Q$ are at distance $2\,m$ and $3\,m$ respectively from the source. The ratio of the intensities of the waves at $P$ and $Q$ is:
1. Option A: $9:4$
2. Option B: $2:9$
3. Option C: $9:2$
4. Option D: $4:9$
The answer and explanation for this question are in NEET MIND Premium.
Question 4 (AIPMT 2005, Q4)
Work, Energy and PowerMedium
A bomb of mass $30\,kg$ at rest explodes into two pieces of masses $18\,kg$ and $12\,kg$ . The velocity of $18\,kg$ mass is $6\,m\,s^{-1}$ . The kinetic energy of the other mass is:
1. Option A: 243 J
2. Option B: 486 J
3. Option C: 564 J
4. Option D: 388 J
The answer and explanation for this question are in NEET MIND Premium.
Question 5 (AIPMT 2005, Q5)
System of Particles and Rotational MotionMedium
A drum of radius $R$ and mass $M$ rolls down without slipping along an inclined plane of angle $\theta$ . The frictional force:
1. Option A: converts translational energy to rotational energy
2. Option B: dissipates energy as heat
3. Option C: decreases the rotational motion
4. Option D: decreases the rotational and translational motion
The answer and explanation for this question are in NEET MIND Premium.
Question 6 (AIPMT 2005, Q6)
GravitationEasy
Imagine a new planet having the same density as that of Earth but it is 3 times bigger than the Earth in size. If the acceleration due to gravity on the surface of Earth is $g$ and that on the surface of the new planet is $g'$ , then:
1. Option A: $g' = 3g$
2. Option B: $g' = g/9$
3. Option C: $g' = 9g$
4. Option D: $g' = g/3$
The answer and explanation for this question are in NEET MIND Premium.
Question 7 (AIPMT 2005, Q7)
Electrostatic Potential and CapacitanceHard
A network of four capacitors of capacitances $C_1=C$ , $C_2=2C$ , $C_3=3C$ and $C_4=4C$ are connected to a battery as shown. The ratio of charges on $C_2$ and $C_4$ is:
1. Option A: $\dfrac{22}{3}$
2. Option B: $\dfrac{3}{22}$
3. Option C: $\dfrac{7}{22}$
4. Option D: $\dfrac{22}{7}$
The answer and explanation for this question are in NEET MIND Premium.
Question 8 (AIPMT 2005, Q8)
Thermal Properties of MatterMedium
Which of the following circular rods, each made of the same material and whose ends are maintained at the same temperature difference, will conduct most heat?
1. Option A: $r=2r_0,\ l=2l_0$
2. Option B: $r=2r_0,\ l=l_0$
3. Option C: $r=r_0,\ l=l_0$
4. Option D: $r=r_0,\ l=2l_0$
Show answer & explanationHide answer & explanation
Correct answer: (B) $r=2r_0,\ l=l_0$
Explanation
Rate of heat conduction: $H=\frac{kA\Delta T}{l}$ Since: $A=\pi r^2$ Therefore: $H\propto \frac{r^2}{l}$ Maximum value occurs for: $r=2r_0,\ l=l_0$ Hence option (B) is correct.
Question 9 (AIPMT 2005, Q9)
NucleiMedium
In the reaction $^2_1H + ^3_1H \rightarrow ^4_2He + ^1_0n$ , if the binding energies of $^2_1H$ , $^3_1H$ and $^4_2He$ are respectively $a$ , $b$ and $c$ (in MeV), then the energy released in this reaction is:
1. Option A: $c + a - b$
2. Option B: $c - a - b$
3. Option C: $a + b + c$
4. Option D: $a + b - c$
The answer and explanation for this question are in NEET MIND Premium.
Question 10 (AIPMT 2005, Q10)
Moving Charges and MagnetismMedium
A very long straight wire carries a current I. At the instant when a charge +Q at point P has velocity $\vec{v}$ , as shown, the force on the charge is:”
1. Option A: Opposite to OX
2. Option B: Along OX
3. Option C: Opposite to OY
4. Option D: Along OY
The answer and explanation for this question are in NEET MIND Premium.
Question 11 (AIPMT 2005, Q11)
AtomsMedium
Energy levels $A$ , $B$ and $C$ of a certain atom correspond to increasing values of energy, i.e. $E_A < E_B < E_C$ . If $\lambda_1$ , $\lambda_2$ and $\lambda_3$ are wavelengths of radiations corresponding to transitions $C \to B$ , $B \to A$ and $C \to A$ respectively, which of the following relations is correct?
1. Option A: $\lambda_3 = \lambda_1 + \lambda_2$
2. Option B: $\lambda_3 = \dfrac{\lambda_1 \lambda_2}{\lambda_1 + \lambda_2}$
3. Option C: $\lambda_1 + \lambda_2 + \lambda_3 = 0$
4. Option D: $\lambda_3^2 = \lambda_1^2 + \lambda_2^2$
The answer and explanation for this question are in NEET MIND Premium.
Question 12 (AIPMT 2005, Q12)
Dual Nature of Radiation and MatterMedium
The work functions for metals $A$ , $B$ and $C$ are respectively $1.92\,\mathrm{eV}$ , $2.0\,\mathrm{eV}$ and $5\,\mathrm{eV}$ . According to Einstein's equation, the metals which will emit photoelectrons for a radiation of wavelength $4100\,\text{\AA}$ are:
1. Option A: none
2. Option B: A only
3. Option C: A and B only
4. Option D: all the three metals
The answer and explanation for this question are in NEET MIND Premium.
Question 13 (AIPMT 2005, Q13)
NucleiMedium
The nuclei of which one of the following pairs of nuclides are isotones?
1. Option A: ${}^{74}_{34}\mathrm{Se},\ {}^{71}_{31}\mathrm{Ga}$
2. Option B: ${}^{92}_{42}\mathrm{Mo},\ {}^{92}_{40}\mathrm{Zr}$
3. Option C: ${}^{84}_{38}\mathrm{Sr},\ {}^{86}_{38}\mathrm{Sr}$
4. Option D: ${}^{40}_{20}\mathrm{Ca},\ {}^{32}_{16}\mathrm{S}$
The answer and explanation for this question are in NEET MIND Premium.
Question 14 (AIPMT 2005, Q14)
Electrostatic Potential and CapacitanceHard
A point charge $+q$ is placed at the origin $O$ . Work done in taking another point charge $-Q$ from point $A(0,a)$ to point $B(a,0)$ along the straight path $AB$ is:
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 15 (AIPMT 2005, Q15)
Electromagnetic InductionMedium
As a result of change in the magnetic flux linked to the closed loop shown in the figure, an emf $V$ volt is induced in the loop. The work done (in joules) in taking a charge $Q$ coulomb once along the loop is:
1. Option A: $QV$
2. Option B: zero
3. Option C: $2QV$
4. Option D: $\dfrac{QV}{2}$
The answer and explanation for this question are in NEET MIND Premium.
Question 16 (AIPMT 2005, Q16)
Current ElectricityHard
For the network shown in the figure, the value of current $i$ is:
1. Option A: $\dfrac{9V}{7}$
2. Option B: $\dfrac{5V}{18}$
3. Option C: $\dfrac{9V}{7}$
4. Option D: $\dfrac{18V}{5}$
The answer and explanation for this question are in NEET MIND Premium.
Question 17 (AIPMT 2005, Q17)
OscillationsEasy
The circular motion of a particle with constant speed is:
1. Option A: simple harmonic but not periodic
2. Option B: periodic and simple harmonic
3. Option C: neither periodic nor simple harmonic
4. Option D: periodic but not simple harmonic
The answer and explanation for this question are in NEET MIND Premium.
Question 18 (AIPMT 2005, Q18)
OscillationsMedium
A particle executing simple harmonic motion of amplitude $5\,\text{cm}$ has maximum speed of $31.4\,\text{cm/s}$ . The frequency of its oscillation is:
1. Option A: $2\,\text{Hz}$
2. Option B: $1.5\,\text{Hz}$
3. Option C: $0.5\,\text{Hz}$
4. Option D: $1\,\text{Hz}$
The answer and explanation for this question are in NEET MIND Premium.
Question 19 (AIPMT 2005, Q19)
Units and MeasurementsMedium
The ratio of the dimensions of Planck's constant and that of the moment of inertia is the dimension of:
1. Option A: frequency
2. Option B: velocity
3. Option C: angular momentum
4. Option D: time
The answer and explanation for this question are in NEET MIND Premium.
Question 20 (AIPMT 2005, Q20)
ThermodynamicsEasy
Which of the following processes is reversible?
1. Option A: Transfer of heat by radiation
2. Option B: Electrical heating of a nichrome wire
3. Option C: Transfer of heat by conduction
4. Option D: Isothermal compression
The answer and explanation for this question are in NEET MIND Premium.
Question 21 (AIPMT 2005, Q21)
ThermodynamicsMedium
The temperature of inversion of a thermocouple is 620°C and the neutral temperature is 300°C. What is the temperature of cold junction?
1. Option A: 20°C
2. Option B: 120°C
3. Option C: -20°C
4. Option D: -120°C
The answer and explanation for this question are in NEET MIND Premium.
Question 22 (AIPMT 2005, Q22)
Dual Nature of Radiation and MatterMedium
A photosensitive metallic surface has work function $h\nu_0$ . If photons of energy $2h\nu_0$ fall on this surface, the electrons come out with a maximum velocity of $4 \times 10^6\ \mathrm{m\,s^{-1}}$ . When the photon energy is increased to $5h\nu_0$ , then the maximum velocity of photoelectrons will be:
1. Option A: $16 \times 10^6\ \mathrm{m\,s^{-1}}$
2. Option B: $8 \times 10^7\ \mathrm{m\,s^{-1}}$
3. Option C: $4 \times 10^5\ \mathrm{m\,s^{-1}}$
4. Option D: $8 \times 10^6\ \mathrm{m\,s^{-1}}$
The answer and explanation for this question are in NEET MIND Premium.
Question 23 (AIPMT 2005, Q23)
NucleiEasy
Fission of nuclei is possible because the binding energy per nucleon in them:
1. Option A: increases with mass number at high mass numbers
2. Option B: decreases with mass number at high mass numbers
3. Option C: increases with mass number at low mass numbers
4. Option D: decreases with mass number at low mass numbers
The answer and explanation for this question are in NEET MIND Premium.
Question 24 (AIPMT 2005, Q24)
Semiconductor ElectronicsEasy
Application of a forward bias to a p-n junction:
1. Option A: increases the number of donors on the n-side
2. Option B: increases the electric field in the depletion zone
3. Option C: increases the potential difference across the depletion zone
4. Option D: widens the depletion zone
The answer and explanation for this question are in NEET MIND Premium.
Question 25 (AIPMT 2005, Q25)
OscillationsMedium
The displacement $x$ of a particle varies with time $t$ as $x = ae^{-\alpha t} + be^{\beta t}$ where a, b, α and β are positive constants. The velocity of the particle will :
1. Option A: go on decreasing with time
2. Option B: be independent of $\alpha$ and $\beta$
3. Option C: drop to zero when $\alpha = \beta$
4. Option D: go on increasing with time
The answer and explanation for this question are in NEET MIND Premium.
Question 26 (AIPMT 2005, Q26)
Electrostatic Potential and CapacitanceHard
Two charges $q_1$ and $q_2$ are placed $30\,\text{cm}$ apart, as shown in the figure. A third charge $q_3$ is moved along the arc of a circle of radius $40\,\text{cm}$ from $C$ to $D$ . The change in the potential energy of the system is where $k$ is:
1. Option A: $8q_2$
2. Option B: $8q_1$
3. Option C: $4q_2$
4. Option D: $4q_1$
The answer and explanation for this question are in NEET MIND Premium.
Question 27 (AIPMT 2005, Q27)
NucleiEasy
In any fission process the ratio (mass of fission products/mass of parent nucleus) is :
1. Option A: less than 1
2. Option B: greater than 1
3. Option C: equal to 1
4. Option D: depends on the mass of parent nucleus
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Question 28 (AIPMT 2005, Q28)
ThermodynamicsMedium
An ideal gas heat engine operates in Carnot cycle between 227°C and 127°C. It absorbs 6 × 10⁴ cal of heat at higher temperature. Amount of heat converted to work is:
1. Option A: 2.4 × 10⁴ cal
2. Option B: 3.6 × 10⁴ cal
3. Option C: 1.2 × 10⁴ cal
4. Option D: 6.4 × 10⁴ cal
The answer and explanation for this question are in NEET MIND Premium.
Question 29 (AIPMT 2005, Q29)
Motion in a PlaneMedium
If a vector $2\hat{i}+3\hat{j}+8\hat{k}$ is perpendicular to the vector $4\hat{j}-4\hat{i}+\alpha\hat{k}$ then the value of $\alpha$ is:
1. Option A: -2
2. Option B: 1/2
3. Option C: -1/2
4. Option D: 2
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Question 30 (AIPMT 2005, Q30)
Semiconductor ElectronicsEasy
Zener diode is used for:
1. Option A: producing oscillations in an oscillator
2. Option B: amplification
3. Option C: stabilisation
4. Option D: rectification
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Question 31 (AIPMT 2005, Q31)
Work, Energy and PowerMedium
A force F acting on an object varies with distance x as shown here. The force is in N and x is in m. The work done by the force in moving the object from x = 0 to x = 6 m is :
1. Option A: 10.5 J
2. Option B: 13.5 J
3. Option C: 8.5 J
4. Option D: 6.5 J
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Question 32 (AIPMT 2005, Q32)
OscillationsMedium
A stone tied to the end of a string 1 m long is whirled in a horizontal circle with constant speed. If the stone makes 22 revolutions in 44 s, what is the magnitude and direction of acceleration of the stone?
1. Option A: π²/4 m/s² and direction along the radius towards the centre
2. Option B: 2π² m/s² and direction along the radius away from centre
3. Option C: π² m/s² and direction along the radius towards the centre
4. Option D: 4π² m/s² and direction along the tangent to the circle
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Question 33 (AIPMT 2005, Q33)
Magnetism and MatterEasy
If the magnetic dipole moment of an atom of diamagnetic material, paramagnetic material and ferromagnetic material is denoted by $\mu_d$ , $\mu_p$ and $\mu_f$ respectively, then
1. Option A: $\mu_d \ne 0$ and $\mu_f \ne 0$
2. Option B: $\mu_p = 0$ and $\mu_f \ne 0$
3. Option C: $\mu_d = 0$ and $\mu_p \ne 0$
4. Option D: $\mu_d \ne 0$ and $\mu_p = 0$
Show answer & explanationHide answer & explanation
Correct answer: (C) $\mu_d = 0$ and $\mu_p \ne 0$
Explanation
Diamagnetic substances have zero resultant magnetic dipole moment per atom because all electron magnetic moments are paired and cancel each other. Therefore $\mu_d = 0$ . Paramagnetic substances have atoms with unpaired electrons, so each atom possesses a non-zero magnetic dipole moment. Therefore $\mu_p \ne 0$ . Hence option A is correct.
Question 34 (AIPMT 2005, Q34)
Alternating CurrentMedium
In a circuit, $L$ , $C$ and $R$ are connected in series with an alternating voltage source of frequency $f$ . The current leads the voltage by $45^\circ$ . The value of $C$ is:
1. Option A: $\dfrac{1}{2\pi f(2\pi fL + R)}$
2. Option B: $\dfrac{1}{\pi f(2\pi fL + R)}$
3. Option C: $\dfrac{1}{2\pi f(2\pi fL - R)}$
4. Option D: $\dfrac{1}{\pi f(2\pi fL - R)}$
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Question 35 (AIPMT 2005, Q35)
Ray Optics and Optical InstrumentsMedium
The angular resolution of a 10 cm diameter telescope at wavelength 5000 Å is of the order of:
1. Option A: 10⁶ rad
2. Option B: 10⁻⁴ rad
3. Option C: 10⁴ rad
4. Option D: 10⁻⁶ rad
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Question 36 (AIPMT 2005, Q36)
WavesMedium
Two vibrating tuning forks produce progressive waves given by y₁ = 4 sin 500πt and y₂ = 2 sin 506πt. Number of beats produced per minute is:
1. Option A: 360
2. Option B: 180
3. Option C: 120
4. Option D: 30
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Question 37 (AIPMT 2005, Q37)
Current ElectricityMedium
When a wire of uniform cross-section, length l and resistance R is bent into a complete circle, the resistance between two diametrically opposite points is:
1. Option A: R/4
2. Option B: 2R
3. Option C: 4R
4. Option D: R/2
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Question 38 (AIPMT 2005, Q38)
Semiconductor ElectronicsEasy
Carbon, silicon and germanium atoms have four valence electrons each. Their valence and conduction bands are separated by energy band gaps represented by $(E_g)_C$ , $(E_g)_{Si}$ and $(E_g)_{Ge}$ respectively. Which one of the following relationships is true in their case?
1. Option A: $(E_g)_C > (E_g)_{Si}$
2. Option B: $(E_g)_C = (E_g)_{Si}$
3. Option C: $(E_g)_C < (E_g)_{Ge}$
4. Option D: $(E_g)_C < (E_g)_{Si}$
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Question 39 (AIPMT 2005, Q39)
Electromagnetic WavesEasy
If $\lambda_v$ , $\lambda_x$ and $\lambda_m$ represent the wavelengths of visible light, X-rays and microwaves respectively, then:
1. Option A: $\lambda_m > \lambda_x > \lambda_v$
2. Option B: $\lambda_v > \lambda_m > \lambda_x$
3. Option C: $\lambda_m > \lambda_v > \lambda_x$
4. Option D: $\lambda_v > \lambda_x > \lambda_m$
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Question 40 (AIPMT 2005, Q40)
Motion in a PlaneMedium
Two boys are standing at the ends A and B of a ground, where $AB = a$ . The boy at B starts running in a direction perpendicular to $AB$ with velocity $v_1$ . The boy at A starts running simultaneously with velocity $v$ and catches the other boy in a time $t$ . Then $t$ is:
1. Option A: $\dfrac{a}{\sqrt{v^2 + v_1^2}}$
2. Option B: $\dfrac{a}{\sqrt{v^2 - v_1^2}}$
3. Option C: $\dfrac{a}{v - v_1}$
4. Option D: $\dfrac{a}{v + v_1}$
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Question 41 (AIPMT 2005, Q41)
Current ElectricityMedium
A 5-A fuse wire can withstand a maximum power of 1 W in circuit. The resistance of the fuse wire is:
1. Option A: 0.02 Ω
2. Option B: 0.2 Ω
3. Option C: 0.4 Ω
4. Option D: 0.04 Ω
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Question 42 (AIPMT 2005, Q42)
System of Particles and Rotational MotionMedium
Two bodies have moments of inertia I and 2I respectively about their axes of rotation. If their kinetic energies of rotation are equal, their angular momenta will be in the ratio:
1. Option A: 1 : 4
2. Option B: √2 : 1
3. Option C: 4 : 1
4. Option D: 1 : √2
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Question 43 (AIPMT 2005, Q43)
Moving Charges and MagnetismHard
An electron moves in a circular orbit with uniform speed v. It produces a magnetic field B at the centre of the circle. The radius of the circle is proportional to:
1. Option A: B/v
2. Option B: v/B
3. Option C: √(v/B)
4. Option D: √(B/v)
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Question 44 (AIPMT 2005, Q44)
Semiconductor ElectronicsEasy
Choose the only false statement from the following.
1. Option A: Substances with energy gap of the order of 10 eV are insulators
2. Option B: The conductivity of a semiconductor increases with increase in temperature
3. Option C: In conductors the valence and conduction bands may overlap
4. Option D: The resistivity of a semiconductor increases with increase in temperature
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Question 45 (AIPMT 2005, Q45)
Motion in a PlaneEasy
If the angle between the vectors $\vec{A}$ and $\vec{B}$ is $\theta$ , the value of the product $(\vec{B} \times \vec{A}) \cdot \vec{A}$ is equal to:
1. Option A: $BA^2 \cos^2 \theta$
2. Option B: $BA^2 \sin^2 \theta$
3. Option C: $BA^2 \sin \theta \cos \theta$
4. Option D: zero
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Question 46 (AIPMT 2005, Q46)
System of Particles and Rotational MotionMedium
The moment of inertia of a uniform circular disc of radius $R$ and mass $M$ about an axis passing through the edge of the disc and normal to the disc is:
1. Option A: $\dfrac{5}{2}MR^2$
2. Option B: $MR^2$
3. Option C: $\dfrac{7}{2}MR^2$
4. Option D: $\dfrac{3}{2}MR^2$
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Question 47 (AIPMT 2005, Q48)
AtomsEasy
The total energy of an electron in the first excited state of hydrogen is about $-3.4\,\text{eV}$ . Its kinetic energy in this state is:
1. Option A: $-3.4\,\text{eV}$
2. Option B: $-1.7\,\text{eV}$
3. Option C: $1.7\,\text{eV}$
4. Option D: $3.4\,\text{eV}$
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Question 48 (AIPMT 2005, Q49)
GravitationEasy
For a satellite moving in an orbit around the earth, the ratio of kinetic energy to potential energy is:
1. Option A: $4$
2. Option B: $\dfrac{1}{2}$
3. Option C: $\dfrac{1}{\sqrt{2}}$
4. Option D: $\dfrac{1}{4}$
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Question 49 (AIPMT 2005, Q50)
Motion in a Straight LineMedium
A ball is thrown vertically upward. It has a speed of $10\,\text{m/s}$ when it has reached one half of its maximum height. How high does the ball rise? (Take $g = 10\,\text{m/s}^2$ )
1. Option A: $6\,\text{m}$
2. Option B: $10\,\text{m}$
3. Option C: $14\,\text{m}$
4. Option D: $18\,\text{m}$
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