All Problems

Diffraction of Light

Problem 5.99

A diaphragm with round aperture, whose radius rr can be varied during the experiment, is placed between a point source of light and a screen. The distances from the diaphragm to the source and the screen are equal to a=100 cma=100 \mathrm{~cm} and b=125 cm.b=125 \mathrm{~cm} . Determine the wavelength of light if the intensity maximum at the centre of the diffraction pattern of the screen is observed at r1=1.00 mmr_{1}=1.00 \mathrm{~mm} and the next maximum at r2=1.29 mmr_{2}=1.29 \mathrm{~mm}.

Reveal Answer
λ=(r22r12)(a+b)/2ab=0.60μm\lambda=\left(r_{2}^{2}-r_{1}^{2}\right)(a+b) / 2 a b=0.60 \mu \mathrm{m}