A horizontal stretched string, fixed at two ends, is vibrating in its $3 9^{th}$ overtone according to the equation, $y (x, t) = (0.01 m) sin [(62.8 m^{- 1}) x] cos [(628 s^{- 1}) t]$ .
Assuming π = 3.14, what is the length of string (in m)?

Question

A horizontal stretched string, fixed at two ends, is vibrating in its $3 9^{th}$ overtone according to the equation, $y (x, t) = (0.01 m) sin [(62.8 m^{- 1}) x] cos [(628 s^{- 1}) t]$ .

Assuming π = 3.14, what is the length of string (in m)?

TestHub · Accepted Answer

k = λ 2 π ​ = 62.8 λ = 0.1 m ℓ = 40 2 λ ​ = 2 m

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JEE Advanced (2028)