The equation of a resultant wave obtained after superposition of two waves is given by y(x, t)=2 a sin k x cos ω t. The position of nodes will be given by

Question

The equation of a resultant wave obtained after superposition of two waves is given by y(x, t)=2 a sin k x cos ω t. The position of nodes will be given by (A)  sin k x=-1 (B)  sin k x=0 (C)  sin k x=1 (D)  sin k x=(n π/2)

Tardigrade Admin · Accepted Answer

From the equation y(x, t)=2 a sin k x cos ω t the position of nodes (where amplitude is zero) are given by sin k x=0 or k x=n π where n=0,1,2,3, ldots

Q. The equation of a resultant wave obtained after superposition of two waves is given by $y (x, t) = 2 a sin$ $k x cos ω t$ . The position of nodes will be given by

$sin k x = - 1$

$sin k x = 0$

$sin k x = 1$

$sin k x = \frac{nπ}{2}$

From the equation $y (x, t) = 2 a sin k x cos ω t$ the position of nodes (where amplitude is zero) are given by $sin k x = 0$ or $k x = nπ$
where $n = 0, 1, 2, 3, \dots$

Q. The equation of a resultant wave obtained after superposition of two waves is given by y(x,t)=2asin kxcosωt. The position of nodes will be given by

sinkx=−1

sinkx=0

sinkx=1

sinkx=2nπ​