Published by:
CGP EDU Academic Team
Published on: September 12, 2026
If vibrations of a string are to be increased by a factor of two, then tension in the string must be made
Text Solution
Verified by ExpertsThe correct answer is:
C
The frequency of vibration of a string is given by $n = \frac{1}{2l} \sqrt{\frac{T}{m}}$ where l is length, T the tension and m the mass per unit length.
Given, $n_1 = n, n_2 = 2n \therefore \frac{n_1}{n_2} = \frac{n}{2n} = \sqrt{\frac{T_1}{T_2}}$
$\Rightarrow \frac{1}{4} = \frac{T_1}{T_2} \Rightarrow$ $T_{2} = 4 T_{1}$
Hence, to increase n by a factor of 2 tension must increase four times.
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