Q. Equation of a progressive wave is given by $y = a\sin{\pi\left\lbrack \frac{t}{2} - \frac{x}{4} \right\rbrack,}$ where $t$ is in seconds and $x$ is in meters. The distance through which the wave moves in $8\ sec$ is (in meter)

A) 8
B) 16
C) 2
D) 4
Explanation

(b) $v = \frac{Co - efficient\ of\ t}{Co - efficient\ of\ x} = \frac{1/2}{1/4} = 2m/s$
Hence $d = vt = 2 \times 8 = 16m$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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