A student notes that the third-order diffraction minimum appears from the center of…

PHYSICS · Single correct · CBSE · Physics · Wave Optics · Wave Optics

Problem

A student notes that the third-order diffraction minimum appears

7.5\,\text{mm}

from the center of the screen when the screen is

1.0\,\text{m}

from a single slit. After moving the screen to

1.3\,\text{m}

, the same minimum is measured at

9.8\,\text{mm}

. If the slit width is

0.25\,\text{mm}

, what is the wavelength of the light? (a)

540\,\text{nm}

(b)

820\,\text{nm}

(c)

630\,\text{nm}

(d)

480\,\text{nm}