Q.

A string fixed at both ends has consecutive standing wave modes for which the distances between adjacent nodes are 18 cm and 16 cm respectively. The minimum possible length of the string is

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a

144 cm

b

152 cm

c

176 cm

d

200 cm

answer is A.

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Detailed Solution

L=mλ12   and   L=(m+1)λ22, where m is number of harmonicsm×36=(m+1)⇒m=8⇒L=144cm
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