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In a physics lab, light with a wavelength of 580 nm travels in air from a laser to a photocell in a time of 17.3 ns . When a slab of glass with a thickness of 0.810 m is placed in the light beam, with the beam incident along the normal to the parallel faces of the slab, it takes the light a time of 21.5 ns to travel from the laser to the photocell.What is the wavelength of the light in the glass? Use 3.00×108 m/s for the speed of light in a vacuum. Express your answer using two significant figures.

Answer :

The the wavelength of the light in the glass is  325.69 nm.

Calculation:-

∧ =  580 nm, t 17.3ns, thickness 0.810 m, 21.5ns, c = 3 x 10⁸m/s.

The new wavelength will be ∧glass = ∧ air x[tex]\frac{ velocity of light glass}{velocity of light in air}[/tex]

The light through the slab of glass 0.8 m takes more time (21.5-17.5) = 4 ns Without slab time taken by the laser light tair = 0.8/3 x 10⁸ = -267 ns

With the stab time taken by the laser light = tglass = 4+2.67-6.67ns

Speed of laser light in glass =0.8/6.67 x 10⁻⁹ = 1.1994 x 10⁸ m/s

Wavelength ∧ glass = 490x1.994 x  10⁸/3 x 10⁸ = 325.69 nm.

Wavelength is the distance between identical points in adjacent cycles of a waveform signal propagating in space or along a wire. Wavelength can be defined as the distance between two consecutive peaks or valleys. Measured in the direction of the wave. Wavelength is the distance between two wave crests and the same for wave troughs.

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