Question

the tension in a wire is 10N and 10m of the wine has the mass 0.01kg.the speed of transverse wave in m/s in the wire is?​

Answer 1

Answer

• Speed of the transverse wave in the wire is 100 m/s

Given

• The tension in a wire is 10 N and 10 m of the wine has the mass 0.01 kg

To Find

• The speed of transverse wave in m/s in the wire is

Formula

$\rm Mass\ per\ unit\ length\ is\ calculated\ by,\\\\\bullet \;\; \rm \mu=\dfrac{m}{l}$

$\rm Velocity\ of\ transverse\ wave\ through\ string\ /wire\ is\ given\ by,\\\\\rm \bullet \;\; v=\sqrt{\dfrac{T}{\mu}}$

where ,

• T denotes Tension force
• μ denotes mass per unit length

Solution

mass , m = 0.01 kg

length , l = 10 m

$\implies \rm \mu =\dfrac{m}{l}\\\\\implies \rm \mu=\dfrac{0.01}{10}\\\\\implies \rm \mu=0.001$

So , μ = 0.001

Tension , T = 10 N

$\implies \rm v=\sqrt{\dfrac{T}{\mu}}\\\\\implies \rm v=\sqrt{\dfrac{10}{0.001}}\\\\\implies \rm v=\sqrt{10000}\\\\\implies \rm v=100\ m/s$

Answer 2

Answer:

The speed of transverse wave is 100m/s

Explanation:

The speed of transverse wave, V =$\sqrt{\frac{T}{mass per unit length} }$

=$\sqrt{\frac{10}{\frac{0.01}{10} } }$

=100 m/s

The correct answer is 100m/s.