MHT CET20239 May 2023Evening ShiftPhysicsWaves and SoundActual
The equation of simple harmonic progressive wave is given by y=a 2 (b t-c x) . The maximum particle velocity will be half the wave velocity, if c =
Options
- A2 a
- B1 4 a
- C1 2 a
- D4 a
Correct answer
B. 1 4 a
Step-by-step solution
General equation of a simple harmonic progressive wave, y=A 2 [ t T - x ] Given: y=a 2 (b t-c x) A = a , 1 ~T = b and 1 = cx Also, (v_p )_ =a =a(2 n)= a 2 T = A 2 T = a 2 b From v = T = 1 / c 1 / b = b c Given: ( v _ p )_ = 1 2 v aligned & 2 ab = 1 2 b c c & = 1 4 a aligned