AP EAMCET Engineering 22 Sep 2020 Shift 2 Paper

Speed of transverse wave in stretched wire is given as
v=√‌

T

m

where, T= tension in the wire
and m= mass per unit length of wire.
∴‌‌v=√‌

T

M∕l

‌‌[∵m=‌

M

l

]
=√‌

T

M

=√‌

T

V⋅ρ

‌‌[∵M=V⋅ρ]
=√‌

Tl

A⋅l⋅0

‌‌[∵V=A⋅l]
v=√‌

T

Aρ

⇒v∝√‌

T

A

⇒‌‌‌

v2

v1

=√‌

T2

T1

×‌

A1

A2

...(i)
Given, A2=‌

A1

2

,T2=2T1
∴ From Eq. (i), we get
‌

v2

v1

=√‌

2T1

T1

×‌

A1

A1

=√4
v2=2v1⇒K=2