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

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Pendulum A

Pendulum B

Pendulum A and B both

None of these

answer is B.

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Detailed Solution

Pendulum B has a higher frequency.
Here, we will calculate the frequencies of pendulum A and pendulum B.
The frequency of pendulum A (

f_{A}

) is given by,

Frequency (f_{A}) = \frac{no . of oscillations}{time taken}

[Where

n = no . of oscillations

t = time taken

]

\Rightarrow Frequency (f_{A}) = \frac{15}{5}

\Rightarrow Frequency (f_{A}) = 3 Hz

……………………….. (i)
Now, the frequency of pendulum B is given by

Frequency (f_{B}) = \frac{no . of oscillations}{time taken}

\Rightarrow Frequency (f_{B}) = \frac{12}{3}

\Rightarrow Frequency (f_{B}) = 4 Hz

……………………… (ii)
From equations (i) and (ii) we can say

f_{B}

f_{A}

Therefore, the pendulum B has a higher frequency as compared to the pendulum A.

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