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There are four samples P, Q, R and S with natural frequencies 64, 96, 128 and 250 Hz respectively. They are mounted on test setups for conducting vibration experiments. If a loud pure note of frequency 144 Hz is produced by some instrument, which of the samples will show the most perceptible induced vibration?

There are four samples P, Q, R and S with natural frequencies 64, 96, 128 and 250 Hz respectively. They are mounted on test setups for conducting vibration experiments. If a loud pure note of frequency 144 Hz is produced by some instrument, which of the samples will show the most perceptible induced vibration? Correct Answer R

Explanation:

Since the natural frequency of R (128 Hz) is closest to the frequency produced by the instrument (144 Hz), therefore Sample 'R' will show the most perceptible induced vibration.

When frequency of two vibration close near or matched then their amplitude get maximum. 

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