Physics

Problem

Incident wave

y = A \sin \left( ax + bt + \frac{\pi}{2} \right)

is reflected by an obstacle at

x = 0

which reduces intensity of reflected wave by 36%. Due to superposition, the resulting wave consists of a standing wave and a travelling wave given by

y = -1.6 \sin ax \sin bt + cA \cos (bt + ax)

where

A, a, b

and

c

are positive constants. Value of

c

is a.

0.2

0.4

0.6

0.3