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Question

A train of sound waves is propagated along a wide pipe and it is reflected from an open end. If the amplitude of the waves is 0.002cm, the frequency 1000Hz and the wavelength 40cm, the amplitude of vibration at a point 10cm from open end inside the pipe will be

A
Zero
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B
0.002cm
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C
0.001cm
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D
0.0005cm
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Solution

The correct option is A Zero
Wavelength is 40cm
Amplitude to be found at 10 cm =404cm=λ4
In open pipe from open pipe at a distance of λ/4 always a node is formed. So, amplitude at 10 cm from open end will be zero because amplitude at node is zero.

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