P0IITU09 - Oscillations qns

# P0IITU09 - Oscillations qns - Page 1 Q1. Q2. Q3. Q4. Q5....

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Page 1 QUEST TUTORIALS Head Office : E-16/289, Sector-8, Rohini, New Delhi, Ph. 65395439 Q1. The periodic beatings of the heart of a healthy person may be compared to a (a) forced harmonic oscillator (b) damped harmonic oscillator (c) forced harmonic oscillator with damping (d) pure free simple harmonic oscillator Q2. Which one of the following functions of time represents a simple harmonic motion ? (a) sin 2 ω t + cos 2 ω t (b) e t + sin 2 ω t (c) sin ω t + cos 3 ω t (d) sin ω t + cos ω t the symbols have usual meaning Q3. The length of a seconds pendulum at a place where acceleration due to gravity is 10 m/s 2 is about (a) 1 m (b) 0.1 m (c) 10 m (d) 0.25 m Q4. A particle executes S.H.M. of amplitudes 10 cm, the distance of a point from its mean position at which its kinetic energy is exactly equal to its potential energy is about (a) 0.71 cm (b) 7.1 cm (c) 71 cm (d) 0.51 cm Q5. A simple pendulum mounted I a lift which acceleration downwards at 5 m/s 2 at a place where g is 10 m/s 2 , the percentage change in the period is about (a) 41% increase (b) 41% decrease (c) 20% decrease (d) 80% increase Q6. The expression for the frequency of a damped harmonic oscillator with mass ‘m’ resting force constant ‘k’ and damping factor ‘b’ is given by (a) ( ) 2 m 2 / b m / k - (b) ( ) 2 m 2 / b m / k 2 - π (c) 2 m 2 b m k 2 1 - π (d) 2 m 2 b m k + Q7. The most generated form of equation of motion of a forced simple harmonic oscillator with damping included is (where the symbols have usual meaning) (a) 0 kx dt x d m 2 2 = + (b) t cos F kx dt x d m 0 2 2 ω = + (c) 0 kx dt dx b dt x d m 2 2 = + + (d) t cos F kx dt dx b dt x d m 0 2 2 ω = + + Q8. In a simple harmonic motion which one of the following statements is incorrect ? (a) the velocity leads the displacement by a phase of π /2 (b) the acceleration leads the velocity by a phase of π /2 (c) the displacement lags the acceleration by a phase of π /2 (d) the acceleration leads the displacement by a phase of π Q9. The most general solution of 0 kx dt x d m 2 2 = + representing a pure simple harmonic motion is of the form (where the symbols have the usual meanings) (a) A sin t m k (b) A cos t m k (c) + t m k cos t m k sin A (d) A sin φ + t m k Q10. The speed (v) of a simple harmonic oscillator with amplitude A, in terms of its displacement (x) at any instant of time is given by (a) T x A v 2 2 - = (b) 2 2 x A T 2 v - π = (c) 2 2 x A T v - π = (d) 2 2 A x T 2 v - π = Q11. The ratio of kinetic energy to the potential energy of a simple harmonic oscillator at a point mid way between the mean equilibrium position and one of its extremities is (a) 3 (b) 1/3 (c) 1 (d) 2 Q12. In simple harmonic motion which one of the following statements is true ? (a) The magnitude of acceleration of a particle is the least at the extremities of the oscillator

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## This note was uploaded on 10/05/2011 for the course PHY 203 taught by Professor Grimaldi during the Spring '11 term at St. Mary NE.

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P0IITU09 - Oscillations qns - Page 1 Q1. Q2. Q3. Q4. Q5....

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