Two waves on a stretched string are given by and (all quantities in SI units)

PHYSICS · Single correct · A Level · Physics · Waves · Waves

Problem

Two waves on a stretched string are given by

y_1 = 5\sin(0.6x - 400t)

and

y_2 = 5\sin(0.6x + 400t)

(all quantities in SI units). The resultant displacement is

y = y_1 + y_2

. Identify the nature of the resultant wave and determine the distance between two consecutive nodes. (a) Standing wave,

10.5\,\text{m}

(b) Standing wave,

2.6\,\text{m}

5.2\,\text{m}

(d) Progressive wave,

5.2\,\text{m}