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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 (in cm) is:

A

144

B

152

C

176

D

200

Text Solution

Verified by Experts

The correct Answer is:
A
`L=(mlamda_1)/(2)` and `L(m+1)(lamda_2)/(2)`
where m is no. of harmonic
m.`36=(m+1)32impliesm=8`
`L=8xx18=144cm`
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