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Standard X

Physics

Total Internal Reflection

A ray is inci...

Question

A ray is incident at an angle of incidence $i$ on one surface of small angle prism (prism angle is $A$ ) and emerges normally from the opposite surface. The refractive index of material of prism is $μ = 2$ . The angle of incidence is nearly (consider incidence angle $i$ small)

2 A

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A

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\frac{A}{4}

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3 A

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Solution

The correct option is A $2 A$

As $r_{2} = 0$
$1 sin i = 2 sin r_{1}$
$i = 2 r_{1}$
$r_{1} + r_{2} = A$
$\frac{i}{2} + 0 = A$
$i = 2 A$

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A ray is incident at an angle of incidence i on one surface of small angle prism (prism angle is A) and emerges normally from the opposite surface. The refractive index of material of prism is μ=2. The angle of incidence is nearly (consider incidence angle i small)

The correct option is A 2A As r2=0 1sini=2sinr1 i=2r1 r1+r2=A i2+0=A i=2A

A ray is incident at an angle of incidence $i$ on one surface of small angle prism (prism angle is $A$ ) and emerges normally from the opposite surface. The refractive index of material of prism is $μ = 2$ . The angle of incidence is nearly (consider incidence angle $i$ small)

The correct option is A $2 A$

As $r_{2} = 0$
$1 sin i = 2 sin r_{1}$
$i = 2 r_{1}$
$r_{1} + r_{2} = A$
$\frac{i}{2} + 0 = A$
$i = 2 A$