question_answer

Length of a string tied to two rigid supports is 40 cm. Maximum length (wavelength in cm) of a stationary wave produced on it, is   AIEEE  Solved  Paper-2002

A) 20             

B)           80                              

C)           40             

D)           120

Correct Answer: B

Solution :

When the string is plucked in the middle, it vibrates in one loop with nodes at fixed ends and an antinode in the middle.              So that,    \[\frac{{{\lambda }_{2}}}{2}=l\]    \[\Rightarrow \]               \[{{\lambda }_{1}}=2\times 40=80\,cm\]