Question

A string of mass 2.50kg is under a tension of 200 N . The length of the stretched string is 20.0m if a transverse wave is produced at one end to the string how long does the disturbance take to reach the other end

Answer 1

Solution:-

• Mass of the string (m) = 2.50 kg

• Length of the string (l) = 20 m

• Tension produced (T) = 200 N

The velocity produced by a transverse wave is given by

⟹ v = √ T / μ ...(1)

Here ,

• μ = linear density

Remember ,

⟹ μ = m / l

⟹ μ = 2.5 /20

⟹ μ = 0.125

Now let's substitute the values of v and μ in eq (1) ,

⟹ v = √ 200 / 0.125

⟹ v = √1600

⟹ v = 40 m /s

Now let us find the time taken by the string to travel from one end to the other end

we know that ,

⟹ v = l / t

On rearranging ,

⟹ t = l / v

⟹ t = 20 / 40

⟹ t = 1 / 2

⟹ t = 0.5 s

The time taken by the transverse wave to travel from one end to the other end is 0.5 s