The speed of a wave on a string is 150 ~ms ⁻¹ when the tension is 120 N . The percentage increase in the tension in order to raise the wave speed by 20 % is

Step-by-step solution

For wave on a string, aligned & v ₁=150 ~ms ⁻¹, ~T ₁=120 ~N , v ₂=1.2 v ₁ & Speed of wave, v = T v ~T & v ₂ v ₁ = T ₂ ~T ₁ 1.2 v ₁ v ₁ = T ₂ 120 & ~T ₂=172.8 ~N aligned % increase in tension, aligned & % ~T = T ₂- T ₁ ~T ₁ 100= 172.8-120 120 100 & =44 % aligned