Laser light of wavelength 410 nm is incident on a circular aperture which has a

Question

Laser light of wavelength 410 nm is incident on a circular aperture which has a diameter of 0.083 mm.
A diffraction pattern is observed on a screen which is placed 17 cm from the aperture.

Give your answer to at least three significant figures. Answer must be accurate to 1%.

1).What is the diffraction angle, ?, of the first diffraction minimum?

2).What is the distance, on the screen, from the center of the central bright spot to the first dark ring?

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Laser light of wavelength 410 nm is incident on a circular aperture which has a diameter of 0.083 mm A diffraction pattern is observed on a screen which is placed 17 cm from the aperture. Give your answer to at least three significant figures. Answer must be accurate to 1%. what is the diffraction angle, , of the first diffraction minimum? degrees Submit Answer Tries 0/20 What is the distance, on the screen, from the center of the central bright spot to the first dark ring? cm Submit Answer Tries 0/20

Explanation / Answer

given

lamda = 410 nm = 410*10^-9 m

d = 0.083 mm = 8.3*10^-5 m

R = 17 cm = 0.17 m

1) fir mth minimum , d*sin(theta) = m*lamda

for first minmum,

d*sin(theta) = lamda

sin(theta) = lamda/d

sin(theta) = 410*10^-9/(8.3*10^-5)

theta = sin^-1(0.00494)

= 0.283 degrees

2) for first minmum, y1 = lamda*R/d

= 410*10^-9*0.17/(8.3*10^-5)

= 8.4*10^-4 m

= 0.084 cm

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