AIPMT 2005 Prelims

170 Questions • 170 Minutes • 2005

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Q1
A coil in the shape of an equilateral triangle of side l is suspended between the pole pieces of a permanent magnet such that B⃗ is in plane of the coil. If due to a current i in the triangle a torque τ acts on it, the side l of the triangle is :
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Q2
A point source emits sound equally in all directions in a non-absorbing medium. Two points P and Q are at distance of 2m and 3m respectively from the source. The ratio of the intensities of the waves at P and Q is :
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Q3
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 :
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Q4
A drum of radius R and mass M, rolls down without slipping along an inclined plane of angle θ. The frictional force :
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Q5
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 :
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Q6
Which of the following circular rods, (given radius r and length l) each made of the same material and whose ends are maintained at the same temperature will conduct most heat ?
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Q7
In the reaction ²₁H + ³₁H → ⁴₂He + ¹₀n, if the binding energies of ²₁H, ³₁H and ⁴₂He are respectively a, b and c (in MeV), then the energy (in MeV) released in this reaction is :
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Q8
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 λ₁, λ₂ and λ₃ 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 ?
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Q9
The work functions for metals A, B and C are respectively 1.92 eV, 2.0 eV and 5 eV. According to Einstein's equation, the metals which will emit photoelectrons for a radiation of wavelength 4100 Å is/are :
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Q10
The nuclei of which one of the following pairs of nuclei are isotones ?
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Q11
The circular motion of a particle with constant speed is :
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Q12
A particle executing simple harmonic motion of amplitude 5 cm has maximum speed of 31.4 cm/s. The frequency of its oscillation is :
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Q13
The ratio of the dimensions of Planck's constant and that of the moment of inertia is the dimension of :
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Q14
Which of the following processes is reversible ?
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Q15
The temperature of inversion of a thermocouple is 620°C and the neutral temperature is 300°C. what is the temperature of cold junction ?
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Q16
A photosensitive metallic surface has work function, hν₀. If photons of energy 2hν₀ fall on this surface, the electrons come out with a maximum velocity of 4 × 10⁶ m/s. When the photon energy is increased to 5hν₀, then maximum velocity of photoelectrons will be :
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Q17
Fission of nuclei is possible because the binding energy per nucleon in them :
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Q18
The displacement x of a particle varies with time t as x = ae^(−αt) + be^(βt), where a, b, α and β are positive constants. The velocity of the particle will :
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Q19
In any fission process the ratio (mass of fission products/mass of parent nucleus) is :
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Q20
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 :
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Paper Info
  • Exam: AIPMT Prelims
  • Year: 2005
  • Questions: 170
  • Duration: 170 mins
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