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 ?

Question

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 ? (A) 10 ms-1 (B) 0.1 ms-1 (C) 100 ms-1 (D) 200 ms-1

Tardigrade Admin · Accepted Answer

We know that
Linear mass density is defined as measure of mass per unit of length

∴

Linear mass density

μ = \frac{Mass}{Length}

= \frac{10 \times 1 0 ^{- 3}}{1}

= 10 \times 1 0^{- 3} k g / m

∴

The speed of transverse wave

v = \frac{T}{μ} = \frac{100}{10 \times 1 0 ^{- 3}}

= 10 \times 1 0^{3}

(where

μ =

volume per unit

\times

density)

= 1 \times 1 0^{2} = 100 m s^{- 1}

Q. A metallic wire of $1 m$ length has a mass of $10 \times 1 0^{- 3}$ kg. If a tension of $100 N$ is applied to a wire, what is the speed of transverse wave ?

$10 m s^{- 1}$

$0.1 m s^{- 1}$

$100 m s^{- 1}$

$200 m s^{- 1}$

Q. A metallic wire of 1m length has a mass of 10×10−3 kg. If a tension of 100N is applied to a wire, what is the speed of transverse wave ?

10ms−1

0.1ms−1

100ms−1

200ms−1

We know that Linear mass density is defined as measure of mass per unit of length ∴ Linear mass density μ= Length Mass ​ =110×10−3​ =10×10−3kg/m ∴ The speed of transverse wave v=μT​​=10×10−3100​​ =10×103​ (where μ= volume per unit × density) =1×102=100ms−1

Q. A metallic wire of $1 m$ length has a mass of $10 \times 1 0^{- 3}$ kg. If a tension of $100 N$ is applied to a wire, what is the speed of transverse wave ?

$10 m s^{- 1}$

$0.1 m s^{- 1}$

$100 m s^{- 1}$

$200 m s^{- 1}$