Good afternoon sir.Answer is 3rd option.Explain it sir.
Good afternoon sir.
Answer is 3rd option.
Explain it sir.
raju nagula , 6 Years ago
Grade
Electrostatics> Good afternoon sir. Answer is 3rd option....
1 Answers
Arun
Last Activity: 6 Years ago
let the refractive index be RI
angle of from air to glass slab incidence = 45 degrees.
let R1 be the angle of refraction
sin(45 deg)/sin(R1) = Ri
sin(R1) = sin(45 deg)/(Ri)
angle of incidence of the ray on the vertical face of the slab as it travels through it is (90 degrees - R1)
sin(90)/sin(90 deg -R1) = Ri (here angle of refraction should be 90 degrees because we need total internal reflection)
1/cos(R1) = Ri
cos(R1) = 1/Ri
using sin square theta + cos Square theta = 1, we have square(sin(45 deg)/Ri) + square(1/Ri) = 1
square(1/(sqrt(2)*Ri)) + square(1/Ri) = 1
1/(2*square(Ri) + 1/square(Ri) = 1
=3/(2*square(Ri) ) = 1
square(Ri) = 3/2 Hence Ri = sqrt(3/2)
angle of from air to glass slab incidence = 45 degrees.
let R1 be the angle of refraction
sin(45 deg)/sin(R1) = Ri
sin(R1) = sin(45 deg)/(Ri)
angle of incidence of the ray on the vertical face of the slab as it travels through it is (90 degrees - R1)
sin(90)/sin(90 deg -R1) = Ri (here angle of refraction should be 90 degrees because we need total internal reflection)
1/cos(R1) = Ri
cos(R1) = 1/Ri
using sin square theta + cos Square theta = 1, we have square(sin(45 deg)/Ri) + square(1/Ri) = 1
square(1/(sqrt(2)*Ri)) + square(1/Ri) = 1
1/(2*square(Ri) + 1/square(Ri) = 1
=3/(2*square(Ri) ) = 1
square(Ri) = 3/2 Hence Ri = sqrt(3/2)
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