Question

A string is vibrating in its fifth overtone between two rigid supports 2.4 m apart. The distance between successive node and antinode is ______.

Options

• 0.1 m 

• 0.2 m

• 0.6 m

• 0.8 m

Answer 1

A string is vibrating in its fifth overtone between two rigid supports 2.4 m apart. The distance between successive node and antinode is 0.2 m.

Explanation:

Fifth overtone, 2.4 = 6n

A = 0.4 m = `lambda/2` ⇒ λ = 0.8

∴ Distance between successive node and antinode,

`lambda/4=0.8/4` = 0.2 m