BITSAT 2022 Paper

The velocity if transverse waves is given by
v=√

T

m

where, T= Tension and m = mass per unit
length of the wire. If r is the radius if the wire and ρ its density then,
m=πr2ρ
∴v=√

T

m

=√

T

πr2ρ

∴vA=

√TA

rA√πρ

and vB=

√TB

rB√πρ

Now,

va

vB

=√

TA

TB

.

rB

rA

∵rA=2rB‌and‌TA=

1

2

TB
Hence,

vA

vB

=

1

2√2