A) 1 m
B) 75 cm
C) 60 cm
D) 50 cm
Correct Answer: A
Solution :
\[{{A}_{s}}=2A\sin kx\] \[\Rightarrow \]\[2=4\sin kx\] \[\Rightarrow \]\[kx=\frac{\pi }{6},\frac{5\pi }{6}\] \[\therefore \] \[{{x}_{2}}-{{x}_{1}}-\left[ \frac{\pi }{6}-\frac{5\pi }{6} \right]\times \frac{1}{k}=\frac{\lambda }{3}\] As the string is vibrating in fundamental mode \[L=\frac{\lambda }{2}\] \[\Rightarrow \] \[\lambda =2L=3m\] So, required separation between two points, \[{{x}_{2}}-{{x}_{1}}=1\,m.\]You need to login to perform this action.
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