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Q.

A strong transverse horizontal pulse, created at one end of the string, is observed to complete 5 single journeys (from one end to other end) along its length, before fading out. The initial and final readings, on a stopwatch used in the experiment, are shown here. If the length of the string is L metre,what would be the speed of the pulse through the string?


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a

(L/9) m/s

b

(L/10) m/s

c

(L/45) m/s

d

(L/50) m/s 

answer is B.

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Detailed Solution

A strong transverse horizontal pulse, created at one end of the string, is observed to complete 5 single journeys (from one end to other end) along its length, before fading out. The initial and final readings, on a stopwatch used in the experiment, are shown here. If the length of the string is L metre, the speed of the pulse through the string would be L/10 m/s.
Let L be the length of the slinkies and v is the speed of the pulse. If t is the time taken by the pulse, then we have,
Time =Distance ×Speed
=> t=10×5
=> t=50 s
Since the pulse completed 5 single journeys, the total distance covered is 5L
Then the speed of the pulse is:
Speed=Distance/Time 
=> v=5L/50
=> v=L/10 m/s
 
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