Question

The equation of a wave travelling on a stretched string is y = 4 sin 2π `("t"/0.02-"x"/100)`, here x and y are in cm and t is in second. The speed of wave is ______.

Options

• 50 m/s

• 40 m/s

• 50 cm/s

• 40 cm/s

Answer 1

The equation of a wave travelling on a stretched string is y = 4 sin 2π `("t"/0.02-"x"/100)`, here x and y are in cm and t is in second. The speed of wave is 50 m/s.

Explanation:

Where ω is the coefficient of t and K is the coefficient of x, the speed of the wave is defined as `omega/"k"`.

Substituting to the values with proper units as given in the question, we get

`omega/"k"=100/0.02` cm/s

= 50 m/s