Question

The equation of simple harmonic wave is given as y = 5sin `pi/2(100t - x)`, where 'x' and 'y' are in metre and time in second. The period of the wave is ______ 

Options

• 0.02 s

• 25 s

• 0.04 s

• 5 s

Answer 1

The equation of simple harmonic wave is given as y = 5sin `pi/2(100t - x)`, where 'x' and 'y' are in metre and time in second. The period of the wave is 0.04 s.

Explanation:

`y = 5 sin  pi/2(100t - x) = 5 sin(50pi t - (xpi)/2)`

∴ ω = 50π or `(2pi)/T = 50pi`

∴ T = `1/25 = 0.04` s