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Assessment: Interference and Diffraction of Light

Answer every question, then submit to see your score and which topics to review.

Part A — Concept Questions

According to Huygens' principle, how is a new wavefront constructed from an old one?

Easy

Light of wavelength 450 nm passes through slits 0.4 mm apart, forming a pattern on a screen 1 m away. Find the fringe spacing, in mm.

Medium

Part B — Formula & Application

Light of wavelength 550 nm passes through a single slit 0.25 mm wide. Find the angle of the first minimum, in degrees.

Hard

A grating has 500 lines per millimetre. Find the first-order (m=1) diffraction angle for light of wavelength 600 nm.

Hard

Part C — Problem Solving

In a double-slit setup, the fringe spacing is measured as 3 mm, with L=2.5 m and d=0.4 mm. Find the wavelength used, in nm.

Hard

A grating diffracts light of wavelength 500 nm at 14.5° for m=1. Find the grating's line density, in lines per mm.

Hard

Part D — Real-Life Application

Why can a person hear music playing in another room even when the door is only slightly ajar, without seeing the source?

Medium

Why do larger telescope apertures (openings) produce sharper images of distant stars?

Medium

Part E — Challenge

In a double-slit experiment, the 4th bright fringe (m=4) appears 10 mm from the center on a screen 2 m away, with slits 0.5 mm apart. Find the wavelength used, in nm. (Use y=mλL/d.)

Hard

A grating produces its second-order (m=2) maximum for red light (λ=700 nm) at the same angle as some other wavelength's third-order (m=3) maximum. Find that other wavelength, in nm.

Hard

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