The equation of a simple harmonic wave is 

given by 

          y=3 sinπ2(50t-x)

where x and y are in meters and t is in 

seconds. The ratio of maximum particle 

velocity to the wave velocity is

(a) 2π

(b) 32π

(c) 3π

(d) 23π

Concept Videos :-

#1 | Introduction to Wave
#2 | Propogation of Wave Pulse & Wave
#3 | Wave Function
#4 | Derivation of Wave Equation
#5 | Wave Equation
#28 | Question Set1: Equation of Wave
#29 | Question Set2: Properties of Wave
#30 | Question Set3: Wave Pulse & Wave Length
#34 | Question Set7: Misc.1

Concept Questions :-

We know that

            vmax=and      v=so,      vmaxv=                  =a(2πn)=2πaλ                  =2πa2π/k                  =ka=π2×3                  =3π2

Difficulty Level:

  • 10%
  • 61%
  • 21%
  • 9%