Give distance between consecutive nodes and antinodes in terms of wavelength.

Options

A. `lamda`
B. `(lamda)/(2)`
C. `(lamda)/(4)`
D. `2lamda`

Answer

C

Explanation

Distance of `n^(th)` node from `x =0` is
`x _(N) = (nlamda)/(2)`
Distance of `n^(th)` antinode from `x =0` is,
`x _(A) = (n + (1)/(2)) (lamda)/(2)`
Required distance is,
`x _(A) - x _(N) = (n + (1)/(2)) (lamda )/(2) - (n lamda )/( 2)`
`therefore x_(A) - x _(N) = (lamda )/(4)`