A wire is under tension of $2$ kg wt and a wave is travelling through it with some speed. Tension in the wire is so increased that the wave travels through it with thrice the original speed. The increase in tension is (in kg wt)

Question

A steel wire with mass per unit length $ 7.0 \times 10^{-3} \, \text{kg/m} $ is under a tension of $ 70 \, \text{N} $. The speed of transverse waves in the wire will be:

Answer 1

Step 1: Ratio:
$\dfrac{v'}{v}=\sqrt{\dfrac{T'}{T}}=3$.

Step 2: Square:
$\dfrac{T'}{T}=9$, so $T'=18$.

Step 3: Difference:
$18-2=16$ kg wt. Option (C).

Final Answer:
Tension goes as speed squared. \[ \boxed{C} \]

A wire is under tension of \(2\) kg wt and a wave is travelling through it with some speed. Tension in the wire is so increased that the wave travels through it with thrice the original speed. The increase in tension is (in kg wt)

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The Correct Option is C

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