At 16°C, two open-end organ pipes, when sounded together produce 34 beats in 2 seconds. How many beats per second will be produced if the temperature rises to 51°C? Neglect the increase in the length of the pipes.
- (A) 18
- (B) 15
- (C) 10
- (D) 5
The Correct Option is A
Solution and Explanation
Given:Number of beats produced per second at We have to find the number of beats per second that will be produced if the temperature rises to 51°CLet lengths of the two organ pipes lowest (or fundamental) frequencies emitted by the pipes at 16°C = lowest frequencies emitted by the pipes at 51°C velocities of sound at 16°C and 51°C respectively.The expression for fundamental frequency for a tube open at both ends is given by and Beat frequency at (given)....(i)Let the number of beats per second at Then, ....(ii)Dividing eq. (ii) by eq. (i), we getHence, the correct option is (A).
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