Question

The equation of a stationary wave is : y = $4\sin[\frac{\pi x}{15}]cos(96\pi t)$. The distance between a node and its next antinode is(a) 7.5 units(b) 1.5 units(c) 22.5 units(d) 30 units

Answer 1

Answer:

Correct option is

A

7.5

Comparing given equation with standard equation y=2asin

λ

2πx

cos

λ

2πvt

Given us

λ

2π

=

15

π

⇒λ=30

Distance between nearest node and antinode =

4

λ

=

4

30

=7.5