Question

Angle of deviation $$\left( \delta \right)$$  by a prism (refractive index $$ = \mu ,$$  and supposing the angle of prism $$A$$ to be small) can be given by

A. $$\delta = \left( {\mu - 1} \right)A$$  
B. $$\delta = \left( {\mu + 1} \right)A$$
C. $$\delta = \frac{{\sin \frac{{A + \delta }}{2}}}{{\sin \frac{A}{2}}}$$
D. $$\delta = \frac{{\mu - 1}}{{\mu + 1}}A$$
Answer :   $$\delta = \left( {\mu - 1} \right)A$$
Solution :
When refracting angle of a prism is small $$\left( {\angle {{10}^ \circ }} \right),$$   the deviation $$\delta $$ is calculated from the relation $$\delta = \left( {\mu - 1} \right)A.$$    For prisms with bigger refracting angles, we use the relation
$$\delta = \left( {{i_1} + {i_2}} \right) - A$$

Releted MCQ Question on
Optics and Wave >> Ray Optics

Releted Question 1

When a ray of light enters a glass slab from air,

A. Its wavelength decreases.
B. Its wavelength increases.
C. Its frequency decreases.
D. neither its wavelength nor its frequency changes.
Releted Question 2

A glass prism of refractive index 1.5 is immersed in water (refractive index $$\frac{4}{3}$$ ). A light beam incident normally on the face $$AB$$  is totally reflected to reach on the face $$BC$$  if
Ray Optics mcq question image

A. $$\sin \theta \geqslant \frac{8}{9}$$
B. $$\frac{2}{3} < \sin \theta < \frac{8}{9}$$
C. $$\sin \theta \leqslant \frac{2}{3}$$
D. None of these
Releted Question 3

A ray of light from a denser medium strike a rarer medium at an angle of incidence $$i$$ (see Fig). The reflected and retracted rays make an angle of $${{{90}^ \circ }}$$ with each other. The angles of reflection and refraction are $$r$$ and $$r’$$ The critical angle is
Ray Optics mcq question image

A. $${\sin ^{ - 1}}\left( {\tan r} \right)$$
B. $${\sin ^{ - 1}}\left( {\tan i} \right)$$
C. $${\sin ^{ - 1}}\left( {\tan r'} \right)$$
D. $${\tan ^{ - 1}}\left( {\sin i} \right)$$
Releted Question 4

A ray of light from a denser medium strike a rarer medium at an angle of incidence $$i$$ (see Fig). The reflected and retracted rays make an angle of $${{{90}^ \circ }}$$ with each other. The angles of reflection and refraction are $$r$$ and $$r’$$ The critical angle is
Ray Optics mcq question image

A. $${\sin ^{ - 1}}\left( {\tan r} \right)$$
B. $${\sin ^{ - 1}}\left( {\tan i} \right)$$
C. $${\sin ^{ - 1}}\left( {\tan r'} \right)$$
D. $${\tan ^{ - 1}}\left( {\sin i} \right)$$

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