A glass prism has a refractive angle of `90^(@)` and a refractive index of 1.5. A ray is incident at an angle of `30^(@)`. The ray emerges from an adj

Question

A glass prism has a refractive angle of `90^(@)` and a refractive index of 1.5. A ray is incident at an angle of `30^(@)`. The ray emerges from an adj

A glass prism has a refractive angle of `90^(@)` and a refractive index of 1.5. A ray is incident at an angle of `30^(@)`. The ray emerges from an adjacent face at an angle of
A. `60^(@)`
B. `30^(@)`
C. `45^(@)`
D. the ray does not emerge

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - D
(d) Critical angle, `theta_(C)=sin^(-1)(1/1.5)=41.8^(@)`
Incident angle, `i_(1)=30^(@)`
`sinr_(1)=(sini_(1))/(mu)=(sin(30^(@)))/(1.5)`
`r_(1)=19.5^(@)`
or Angle of emergence, `r_(2)=A-r_(1)=90-19.5=70.5^(@)`
Since, `r_(2)gttheta_(C)`
`therefore` The ray will not emerge from the prism.

5 views Answered 2023-02-05 15:29