Question

The equation of wave motion is `y = 6 sin[12pit-0.02pix+pi/2],` where x is in m and t in second. The velocity of the wave is ______.

विकल्प

• 400 m/s

• 200 m/s

• 600 m/s

• 100 m/s

Answer 1

The equation of wave motion is `y = 6 sin[12pit-0.02pix+pi/2],` where x is in m and t in second. The velocity of the wave is 600 m/s.

Explanation:

`y = 6 sin[12pit-0.02pix+pi/2]`

ωt = 12πt

∴ ω = 12π

`therefore(2pi)/T=12pi`

`therefore1/T=n=6`

`(2pi)/lambda=0.02pi`

`thereforelambda=2/0.02=100`

v = nλ = 6 × 100 = 600 m/s