KCET2014PhysicsWaves and Sound
A metallic wire of ( 1 ~m ) length has a mass of ( 10 10⁻³ ~kg ). If a tension of ( 100 ~N ) is applied to a wire, what is the speed of transverse wave ?
Options
- A( 100 ~ms ⁻¹ )
- B( 10 ~ms ⁻¹ )
- C( 200 ~ms ⁻¹ )
- D( 0.1 ~ms ⁻¹ )
Correct answer
A. ( 100 ~ms ⁻¹ )
Step-by-step solution
Given, length of wire, ( I=1 ~m ; ) mass of wire, ( m=10 10⁻³ ~kg ) tension, ( T=100 ~N ) Speed of transverse wave, ( v= Tension linear density ) Linear density [ array l = mass length = 10 10⁻³ 1 =10 10⁻³ v= 100 10 10⁻³ = 10⁴ =100 ~ms ⁻¹ array ] Therefore, speed of transverse wave ( =100 ~ms ⁻¹ )