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If an air column of length 5cm resonates...

If an air column of length 5cm resonates with a stretched string of length 40cm, then the length of the same air column which will resonates with 60cm of the same string at the same tension will be

A

100cm

B

75cm

C

50cm

D

48cm

Text Solution

Verified by Experts

The correct Answer is:
B

`nl_1 = nl'_1 " and " nl_2 = nl'_2`
`l_1/l_2 = (l'_1)/(l'_2) therefore l'_2 = (l'_1)/(l_1) = l_2 = (50xx60)/(40) = 75cm`
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