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CGP EDU Academic Team
Published on: September 12, 2026
A string is producing transverse vibration whose equation is $y = 0.021 \sin(x + 30t)$ , Where x and y are in meters and t is in seconds. If the linear density of the string is $1.3 \times 10^{-4}$ kg/m, then the tension in the string in $N$ will be
Text Solution
Verified by ExpertsThe correct answer is:
D
$y = 0.021 \sin(x + 30t)$ ⇒ ⇒ $v = \frac{\omega}{k} = \frac{30}{1} = 30 \mathrm{m} / \mathrm{s}.$
Using, $v = \sqrt{\frac{T}{m}} \Rightarrow 30 = \sqrt{\frac{T}{1.3 \times 10^{-4}}} \Rightarrow T = 0.117$ N
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