Question

Waves I & II are propagating with speeds 200 m/s and 500 m/s respectively. The wavelength of wave I is 10 times smaller than that of wave II. The ratio of time period of wave II to that of wave I is :

Answer 1

Answer:

4:1

Step-by-step explanation:

Wave Period = Wavelength / Speed

T₁ = Wave Period of Wave 1

T₂ = Wave Period of Wave 2

W₁ = The wavelength of wave I

W₂ = The wavelength of wave 2

W₂ = 10 W₁

V₁ = Speed of Wave 1  = 200 m/s

V₂ = Speed of Wave 2 = 500 m/s

T₁  = W₁/V₁   = W₁/200

T₂  = W₂/V₂   = 10W₁/500  = W₁/50

T₂ /T₁  = (W₁/50)/(W₁/200)  = 200/50  = 4

T₂ : T₁ = 4:1

The ratio of time period of wave II to that of wave I is :  4:1