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JEE Main 2020 (8 Jan, Shift 2) · Speed of Waves

Speed of Waves question from JEE Main 2020 (8 Jan, Shift 2)

Q28JEE Main 2020 · 8 JAN · SHIFT 2Easy

Speed of Waves

A transverse wave travels on a taut steel wire with a velocity of v when tension in it is 2.06 × 104 N. When the tension is changed to T, the velocity changed to v/2. The value of T is close to:

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Answer: (d)

$T \propto v^2$ , so halving $v$ makes $T' = T/4$ .
$T' = \dfrac{2.06\times10^4}{4} = 5.15\times10^3\ \text{N}$
So the answer is (d) $5.15\times10^3$ N.

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