JEE Mains · Physics · STD 11 - Waves and sound
- JEE Mains 2020
- Medium
- MCQ
A transverse wave travels on a taut steel wire with a velocity of \({v}\) when tension in it is \(2.06 \times 10^{4} \;\mathrm{N} .\) When the tension is changed to \(T\). the velocity changed to \(\frac v2\). The value of \(\mathrm{T}\) is close to
Pick an option to check your answer.
Answer & Solution
Correct Answer
(B) \(5.15 \times 10^{3}\; \mathrm{N}\)
Step-by-step Solution
Detailed explanation
Velocity of transverse wave \(\mathrm{V} \propto \sqrt{\mathrm{T}}\)
\(\mathrm{v} \rightarrow \frac{\mathrm{V}}{2} \Rightarrow \mathrm{T} \rightarrow \mathrm{T}^{\prime}=\frac{\mathrm{T}}{4}\)
\(\mathrm{T}^{\prime}=\frac{2.06 \times 10^{4}}{4}=5.15 \times 10^{3} \mathrm{N}\)
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