wave_mechanics progressive_waves Question 6
Question: The equation of a wave travelling on a string is $ y=4\sin \frac{\pi }{2}( 8t-\frac{x}{8} ) $ . If x and y are in cm, then velocity of wave is
[MP PET 1990]
Options:
A) 64 cm/sec in ? x direction
B) 32 cm/sec in ? x direction
C) 32 cm/sec in + x direction
D) 64 cm/sec in + x direction
Show Answer
Answer:
Correct Answer: D
Solution:
The given equation can be written as $ y=4\sin ( 4\pi t-\frac{\pi x}{16} ) $
Therefore $ (v)=\frac{\text{Co-efficient of}t(\omega )}{\text{Co-efficient of}x(K)} $
Therefore $ v=\frac{4\pi }{\pi /16}=64cm/sec $ along +x direction.
BETA
