Question

A string is producing transverse vibration whose equation

is y = 0.021 sin ( x + 30 t ) 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

[RPET 1999; RPMT 2002]

• A. 10
• B. 0.5
• C. 1
• D. 0.117

Answer 1

The correct option is D

0.117

y = 0.021 sin ( x + 30 t ) $\Rightarrow v=\frac{\omega }{k}=\frac{30}{1}$ = 30 m/s .

Using , v = $\sqrt{\frac{T}{m}}\Rightarrow 30=\sqrt{\frac{T}{1.3\times {10}^{-4}}}\Rightarrow T=0.117N$