Question

The length of a stretched string is 2 metre and mass is 8*10 minus three kg and tension of two kg is applied to a wire then how long will the transverse wave take in reaching from one end of the wire to the other

Answer 1

Answer: 0.028s

Explanation:

Linear density = mass / length = 0.008/2 = 0.004

Tension = 2g N=19.6

Velocity =(Tension/ Linear Density)^½ = (19.6/0.004)^½= 70 m/s

Time =Length/ Velocity = 2/70 = 0.028 s

Answer 2

The time is 0.0282 sec.

Explanation:

Given that,

Length of string = 2 m

Mass $m=8\times10^{-3}\ kg$

Tension = 2 kg f

We need to calculate the value of μ

Using formula of μ

$\mu=\dfrac{M}{L}$

Put the value into the formula

$\mu=\dfrac{8\times10^{-3}}{2}$

$\mu=4\times10^{-3}\ kg/m$

We need to calculate the velocity

Using formula of velocity

$v=\sqrt{\dfrac{T}{\mu}}$

Put the value into the formula

$v=\sqrt{\dfrac{20}{4\times10^{-3}}}$

$v=70.7\ m/s$

We need to calculate the time

Using formula of time

$t=\dfrac{d}{v}$

Put the value into the formula

$t=\dfrac{2}{70.7}$

$t=0.0282\ sec$

Hence, The time is 0.0282 sec.

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Topic : time

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