A wave of wavelength 2 m is reflected from a surface if a node is formed at 3 m from the surface, then at what distance from the surface another node will be formed?

Question

A wave of wavelength 2 m is reflected from a surface if a node is formed at 3 m from the surface, then at what distance from the surface another node will be formed? (A) 1 m (B) 2 m (C) 3 m (D) 4 m

Tardigrade Admin · Accepted Answer

Distance between two consecutive node is (λ/2) ∴ (λ/2)=(2/2) m =1 m So, the distance of another node from the surface will be 3+(λ/2)=3+1=4 m

Q. A wave of wavelength $2 m$ is reflected from a surface if a node is formed at $3 m$ from the surface, then at what distance from the surface another node will be formed?

1 m

2 m

3 m

4 m

Distance between two consecutive node is $\frac{λ}{2}$
$∴ \frac{λ}{2} = \frac{2}{2} m = 1 m$
So, the distance of another node from the surface will be
$3 + \frac{λ}{2} = 3 + 1 = 4 m$

Q. A wave of wavelength 2m is reflected from a surface if a node is formed at 3m from the surface, then at what distance from the surface another node will be formed?

1 m

2 m

3 m

4 m

Distance between two consecutive node is 2λ​ ∴2λ​=22​m=1m So, the distance of another node from the surface will be 3+2λ​=3+1=4m

Q. A wave of wavelength $2 m$ is reflected from a surface if a node is formed at $3 m$ from the surface, then at what distance from the surface another node will be formed?

Distance between two consecutive node is $\frac{λ}{2}$
$∴ \frac{λ}{2} = \frac{2}{2} m = 1 m$
So, the distance of another node from the surface will be
$3 + \frac{λ}{2} = 3 + 1 = 4 m$