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Q.

If pendulum A makes 15 oscillations in 5 seconds, and pendulum B makes 12 oscillations in 3 seconds. Which pendulum has a higher frequency  A or B?

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a

Pendulum A

b

insufficient information

c

Pendulums A and B have equal frequencies

d

Pendulum B

answer is B.

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Detailed Solution

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Here, we will calculate the frequencies of pendulum A and pendulum B.
The frequency of pendulum A (fA) is given by,
     Frequency(fA)=no. of oscillationstime taken   

 [where n=no. of oscillationst=time taken]
Frequency (fA)=155 

Frequency (fA)=3Hz     …………………….. (i)
Now, the frequency of pendulum B (fB) is given by
     Frequency (fB)=no. of oscillationstime taken
Frequency (fB)=123
Frequency (fB)=4 Hz     …………….......………… (ii)
From equations (i) and (ii), we can say (fB) > (fA)
Therefore, pendulum B has a higher frequency as compared to pendulum A.

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