UPSEE Solved Model Paper 2

The velocity of transverse wave along a stretched string is given by
v = √

T

µ

Where T is the tension and μ is linear mass density.
Since the two wires are of the same material and same radius, μ is constant.
So, the velocity of transverse wave depends on the tension. In fact,
v = √T.
Now, the ratio of transverse wave velocities is

v1

v2

= √

T1

T2

v1

v2

= √

10

20

=

1

√2