JEE MAIN - Physics (2019 - 9th April Morning Slot - No. 9)

A string is clamped at both the ends and it is vibrating in its 4th harmonic. The equation of the stationary wave is Y = 0.3 sin(0.157x) cos(200pt). The length of the string is : (All quantities are in SI units.)
60 m
20 m
80 m
40 m

Explanation

4th harmonic

$$4{\lambda \over 2} = l;2\lambda = l$$

From equation $${{2\pi } \over \lambda } = 0.157$$

$$\lambda $$ = 40 ; $$l$$ = 2$$\lambda $$ = 80 m

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