A ray of light passes through an equilateral prism such that the angle of incidence is equal to the angle of emergence and latter is equal to 3/4th the angle of prism. The angle of deviation is:

  • Option 1)

    45\degree

  • Option 2)

    39\degree

  • Option 3)

    20\degree

  • Option 4)

    30\degree

 

Answers (1)

 

Condition of maximum deviation -

i=e

 

 

- wherein

\delta _{min}= 2i-A

\mu = \frac{\sin \left ( \frac{\delta _{m}+A}{2} \right )}{\sin \left ( A/2 \right )}

 

  i=e \Rightarrow angle of deviation  is minimum

i=e =\frac{3}{4}A 

or

i=e =45^{\circ}

\delta =i+e-A =2i-A =2\times 45^{\circ}-60 =30^{\circ}


Option 1)

45\degree

Incorrect

Option 2)

39\degree

Incorrect

Option 3)

20\degree

Incorrect

Option 4)

30\degree

Correct

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