an air bubble in a glass slab with refractive index 15 near

An air bubble in a glass slab with refractive index $$1.5$$ (near normal incidence) is $$5\,cm$$ deep when viewed from one surface and $$3\,cm$$ deep when viewed from the opposite face. The thickness (in $$cm$$ ) of the slab is

A. 8

B. 10

C. 12

D. 16

Answer : 12

Solution :
Let thickness of the given slab is $$t.$$ According to the question, when viewed from both the surfaces
Ray Optics mcq solution image

$$\eqalign{ & \frac{x}{\mu } + \frac{{t - x}}{\mu } = 3 + 5 \cr & \Rightarrow \frac{t}{\mu } = 8\,cm \cr & \Rightarrow t = 8 \times \mu \cr & \Rightarrow t = 8 \times \frac{3}{2} = 12\,cm \cr} $$

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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.

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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

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

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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

A. $${\sin ^{ - 1}}\left( {\tan r} \right)$$

B. $${\sin ^{ - 1}}\left( {\tan i} \right)$$

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

D. $${\tan ^{ - 1}}\left( {\sin i} \right)$$

View Answer

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

A. $${\sin ^{ - 1}}\left( {\tan r} \right)$$

B. $${\sin ^{ - 1}}\left( {\tan i} \right)$$

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

D. $${\tan ^{ - 1}}\left( {\sin i} \right)$$

View Answer

An air bubble in a glass slab with refractive index $$1.5$$ (near normal incidence) is $$5\,cm$$ deep when viewed from one surface and $$3\,cm$$ deep when viewed from the opposite face. The thickness (in $$cm$$ ) of the slab is

Releted MCQ Question on
Optics and Wave >> Ray Optics

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

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

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

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

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An air bubble in a glass slab with refractive index $$1.5$$ (near normal incidence) is $$5\,cm$$ deep when viewed from one surface and $$3\,cm$$ deep when viewed from the opposite face. The thickness (in $$cm$$ ) of the slab is

Releted MCQ Question on Optics and Wave >> Ray Optics

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

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

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

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

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