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A string fixed at both ends has consecut...

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:

A

`144 cm`

B

`152 cm`

C

`176 cm`

D

`200cm`

Text Solution

Verified by Experts

The correct Answer is:
A
`L=(mlambda_(1))/(2)` and `L(m+1)(lambda_(2))/(2)`
Where `m` is no. of harmonic
`m.36=(m+1)32`
`rArr m=8`
`L=8xx18=144cm`
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