The equation of a wave is y=5sin⁡(t0.04−x4), where x is in c... | Physics | SolveeIt | Solveeit

Today, August 19

Question

The equation of a wave is y=5sin⁡(t0.04−x4), where x is in cm and t in seconds. The maximum velocity of the particle will be

A

(A) 1 ms-1

B

(B) 2 ms-1

C

(C) 1.5 ms-1

D

(D) 1.25 ms-1

Answer

(D) 1.25 ms-1

Explanation

Solution

Explanation:
Equation of wavey=5sin⁡(t0.04−x4)The standard equation of a wave in the given form isy=asin⁡(ωt−2πxλ)Comparing the given equation with the standard equation, we geta=5 and ω=10.04=25Therefore, maximum velocity of particles of the medium,vmax=aω=5×25=125cms−1=1.25ms−1