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(a) It is observed that during march-past we hear a base drum distinctly from a distance compared to the side drums. 

(i) Name the characteristic of sound associated with the above observation. 

(ii) Give a reason for the above observation. 

(b) A pendulum has a frequency of 4 vibrations per second. An observer starts the
pendulum and fires a gun simultaneously. He hears the echo from the cliff after 6 vibrations of the pendulum. If the velocity of sound in air is 340 m s1, find the distance between the cliff and the observer. 

(c) Two pendulums C and D are suspended from a wire as shown in the given figure. Pendulum C is made to oscillate by displacing it from its mean position. It is seen that D also starts oscillating.

 

(i) Name the type of oscillation, C will execute. 

(ii) Name the type of oscillation, D will execute. 

(iii) If the length of D is made equal to C, then what difference will you notice in the oscillations of D? 

(iv) What is the name of the phenomenon when the length of D is made equal to C?

1 Answer

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(a) (i) Intensity of sound. 

(ii) This is because the amplitude of vibration of a base drum is far greater than the amplitude of vibration of the side drum. 

(b) Given f= 4 vbs, T = 1/f =1/4 = 0.25 s, for a frequency of 6 vbs time t=0.25/4 x 6 = 0.375 s, V=340ms-1 

Using S=V*t/2 = 340*0.375/2 = 63.75m

(c) (i) Free or natural oscillation. 

(ii) Forced oscillation. 

(iii) The amplitude of the oscillation of D will be equal to the amplitude of the oscillation of C. 

(iv) Resonance.

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