1. a slit 0.75 mm wide causes a diffraction pattern on a screen 100 cm away illu

Question

1. a slit 0.75 mm wide causes a diffraction pattern on a screen 100 cm away illuminated by mercury light light 364 nm. find the distance from the central image to the fourth dark band. 2. Light travelling in a medium at speed 2.0 x 10^4 m/s. If the incident angle is 35 degree, find the index refraction of each medium, the angle of refraction and the crtical angle between the two media. 1. a slit 0.75 mm wide causes a diffraction pattern on a screen 100 cm away illuminated by mercury light light 364 nm. find the distance from the central image to the fourth dark band. 2. Light travelling in a medium at speed 2.0 x 10^4 m/s. If the incident angle is 35 degree, find the index refraction of each medium, the angle of refraction and the crtical angle between the two media. 1. a slit 0.75 mm wide causes a diffraction pattern on a screen 100 cm away illuminated by mercury light light 364 nm. find the distance from the central image to the fourth dark band. 2. Light travelling in a medium at speed 2.0 x 10^4 m/s. If the incident angle is 35 degree, find the index refraction of each medium, the angle of refraction and the crtical angle between the two media.

Explanation / Answer

1. y = (m - 0.5)* lambda * D / a

for m = 4

y = (3.5) (364 x 10^-9) (1.00) / (0.75 x 10^-3)

y = 1.70 x 10^-3 m Or 1.70 mm

2. n = c / v = (3 x 10^8) / (2 x 10^4) = 15000 .........Ans

that is way much for refractive index.

rfraction angle can be find using

n1 sin(theta1) = n2 sin(theta2)

and for critical angle, put theta2= 90 deg

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