AIPMT 2009 Prelims

189 Questions • 189 Minutes • 2009

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Power dissipated in an LCR series circuit connected to an a.c. source of emf ε is:

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Three concentric spherical shells have radii a, b and c (a < b < c) and have surface charge densities σ, −σ and σ respectively. If VA, VB and VC denote the potentials of the three shells, then for c = a + b, we have:

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An engine pumps water continuously through a hose. Water leaves the hose with a velocity v and m is the mass per unit length of the water jet. What is the rate at which kinetic energy is imparted to water?

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A bar magnet having a magnetic moment of 2 × 10⁴ J T⁻¹ is free to rotate in a horizontal plane. A horizontal magnetic field B = 6 × 10⁻⁴ T exists in the space. The work done in taking the magnet slowly from a direction parallel to the field to a direction 60° from the field is:

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In a Rutherford scattering experiment when a projectile of charge z₁ and mass M₁ approaches a target nucleus of charge z₂ and mass M₂, the distance of closest approach is r₀. The energy of the projectile is:

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Monochromatic light of wavelength 667 nm is produced by a helium neon laser. The power emitted is 9 mW. The number of photons arriving per sec on the average at a target irradiated by this beam is:

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A wave in a string has an amplitude of 2 cm. The wave travels in the + ve direction of x axis with a speed of 128 m/sec. and it is noted that 5 complete waves fit in 4 m length of the string. The equation describing the wave is:

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Which one of the following equations of motion represents simple harmonic motion? Where k, k₀, k₁ and a are all positive.

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A student measures the terminal potential difference (V) of a cell (of emf ε and internal resistance r) as a function of the current (I) flowing through it. The slope, and intercept, of the graph between V and I, then, respectively, equal:

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If a diamagnetic substance is brought near the north or the south pole of a bar magnet, it is:

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A bus is moving with a speed of 10 m s⁻¹ on a straight road. A scooterist wishes to overtake the bus in 100 s. If the bus is at a distance of 1 km from the scooterist, with what speed should the scooterist chase the bus?

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The internal energy change in a system that has absorbed 2 kcal of heat and done 500 J of work is:

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Three capacitors each of capacitance C and of breakdown voltage V are joined in series. The capacitance and breakdown voltage of the combination will be:

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An explosion blows a rock into three parts. Two parts go off at right angles to each other. These two are, 1 kg first part moving with a velocity of 12 m s⁻¹ and 2 kg second part moving with a velocity of 8 m s⁻¹. If the third part flies off with a velocity of 4 m s⁻¹, its mass would be:

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A particle starts its motion from rest under the action of a constant force. If the distance covered in first 10 seconds is S₁ and that covered in the first 20 seconds is S₂, then:

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A body of mass 1 kg is thrown upwards with a velocity 20 m/s. It momentarily comes to rest after attaining a height of 18 m. How much energy is lost due to air friction? (g = 10 m/s²)

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A conducting circular loop is placed in a uniform magnetic field 0.04 T with its plane perpendicular to the magnetic field. The radius of the loop starts shrinking at 2 mm/s. The induced emf in the loop when the radius is 2 cm is:

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The magnetic force acting on a charged particle of charge −2 μC in a magnetic field of 2 T acting in y direction, when the particle velocity is (2î + 3ĵ) × 10⁶ m s⁻¹, is:

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Two bodies of mass 1 kg and 3 kg have position vectors î + 2ĵ + k̂ and −3î − 2ĵ + k̂, respectively. The centre of mass of this system has a position vector:

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The electric potential at a point (x, y, z) is given by V = −x²y − xz³ + 4. The electric field E⃗ at that point is:

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Paper Info

Exam: AIPMT Prelims
Year: 2009
Questions: 189
Duration: 189 mins

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