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JEE Main 2020 (2 Sep, Shift 1) · Stationary Waves & Vibrating Strings

Stationary Waves & Vibrating Strings question from JEE Main 2020 (2 Sep, Shift 1)

Q82JEE Main 2020 · 2 SEP · SHIFT 1Easy

Stationary Waves & Vibrating Strings

Two identical strings X and Z made of same material have tension TX and TZ in them. If their fundamental frequencies are 450 Hz and 300 Hz, respectively, then the ratio TX/TZ is

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Answer: (a)

Identical strings (same $L$ , $\mu$ ): $f \propto \sqrt{T} \Rightarrow T \propto f^2$ .
$\dfrac{T_X}{T_Z} = \left(\dfrac{450}{300}\right)^2 = (1.5)^2 = 2.25$ .
So the answer is (a) $2.25$ .

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