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Q.

A pendulum oscillates 40 times in 4 second. Its frequency is ____ s.


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Detailed Solution

A pendulum oscillates 40 times in 4 second. Its frequency is 0.1 s.
Given,
Number of oscillations, n=40
Time for which it oscillates, t=4 s
We know that frequency of vibration is the number of oscillations per second. Its unit is Hertz (Hz). The time period of a sound wave is the time taken to complete one oscillation. The time period is the reciprocal of the frequency. Mathematically, the frequency (f) is given by the relation
f= nt
On substituting the values, we get the frequency as
f= 404
f=10 Hz
Also it is known that the time period (T) is given as
    T= 1f
On substituting the values, we get
T= 110
T=0.1 s
Hence, the time period is 0.1 s.
 
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A pendulum oscillates 40 times in 4 second. Its frequency is ____ s.