Home
Class 12
PHYSICS
A string of density 7.5 g cm^(-3) and ar...

A string of density 7.5 g `cm^(-3)` and area of cross-section 0.2 `mm^(2)` is stretched under a tension of 20 N. When it is plucked at the mid-point, the speed of the transverse wave on the wire is :

A

116 `ms^(-1)`

B

40 `ms^(-1)`

C

200 `ms^(-1)`

D

80 `ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
A
The speed of transverse wave
`" "v=sqrt(T/m)`
Given, `T = 20 N, M/l =(d times Al)/l=d times A`
`therefore" "v=sqrt((20 times 10^(-3))/(7.5 times 0.2 times (10^(-3))^(2)))`
`" "v approx 116 ms^(-1)`
Promotional Banner

Similar Questions

Explore conceptually related problems

A steel wire has a length of 12.0 m and a mass of 2.10 kg . What is the tension in the wire if speed of a transverse wave on the wire is 343 ms^-1 ?

The speed of a wave along a stretched string depends only on the tension and linear mass density of the string and does not dependent on the frequency of the wave. A steel wire 0.72 long has a mass of 5×10^(-3) kg ,if the wire is under a tension 60 N ,what is the speed of transverse wave on the wire?