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Unformatted text preview: 1 QUEST TUTORIALS Head Office : E16/289, Sector8, Rohini, New Delhi, Ph. 65395439 WAV E S  E X E R C IS E I Q 1. A transverse wave is described by the equation Y = Asin 2 ( ω t kx). The maximum particle velocity is equal to the wave velocity if the value of A is (A) 3/k (B)2/k (C) 1/ k (D) none of these Q 2. Vibrations of period 0.25 sec. propagate along a straight line at a velocity of 48cm/sec. 10sec. after the emergence of vibrations at the initial point, displacement of the point, 59 cm from it is found to be 3 cm . [ Assume that at initial point particle is at its mean position at t = 0 ] (A) amplitude of vibrations is 6 cm. (B) amplitude of vibrations is 6/ √ 2 cm. (C) displacement of a point at a distance 62 cm from the source of vibration at the same instant is  3 √ 3cm. (D) displacement of a point at a distance 62 cm from the source vibration at the same instant is  3 cm . Q 3. Sources separated by 20m vibrate according to the equation y 1 = 0.06 sin π t and y 2 = 0.02 sin π t. They send out waves along a rod with speed 3m/sec. What is the equation of motion of a particle 12m from the first source and 8m from the second. y 1 , y 2 are in m. Q 4. The period of ocillations of a point is 0.04 sec. and the velocity of propagation of ocillation is 300m/sec . The difference of phases between the ocillations of two points at distances 10 and 16 m respectively from the source of ocillations is (A) 2 π (B) π /2 (C) π /4 (D) π Q 5. A perfectly elastic uniform string is suspended vertically with its upper end fixed to the ceiling and the lower end loaded with the weight. If a transverse wave is imparted to the lower end of the string, the pulse will (A) not travel along the length of the string (B) travel upwards with increasing speed (C) travel upwards with decreasing speed (D) travelled upwards with constant acceleration Q 6. If the tension in a stretched string fixed at both ends is changed by 20%, the fundamental frequency is found to change by 15Hz. Then the (A) original frequency is 150Hz (B) velocity of propagation of the transverse wave along the string changes by 5% (C) velocity of propagation of the transverse wave along the string changes by 10% (D) fundamental wave length on the string does not change. Q 7. A uniform rope of mass per unit length λ and of length L is lying straight on a smooth horizontal table. A constant force F is applied at one end of the rope, along the length of the rope. If the pulled end of the rope is given a small transverse pulse, its velocity of progress at a section distant x from the free end is _______. Q 8. The vibration of a string of length 60 cm is represented by the equation y = 3cos( π x/20) cos (72 π t) where x and y are in cm and t in sec....
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 Spring '11
 Grimaldi
 Physics, Frequency, Fundamental frequency, fixed length, Standing wave

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