Question

Draw a neat labelled ray diagram to show the lateral displacement of a light ray in a glass slab. Write down the factors on which the lateral displacement depends.​

Answer 1

$\large \rm {\underbrace{\underline{Elucidation:-}}}$

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➻Labelled ray diagram to show the lateral displacement of a light ray in a glass slab is provided in the above attached file.

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$\sf \to \red {\underline{\underline{Factors\: affecting\: lateral\: displacement:-}}}$

➻The lateral displacement depends "x" on,

$\sf \colon \leadsto \blue {\underline{Thickness\: of\: the\: medium}}$

➻More the thickness of the medium,more is the lateral displacement.

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$\sf \colon \leadsto \pink {\underline{Angle\: of\: incidence}}$

➻More the angle of incidence,more is the lateral displacement.

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$\sf \colon \leadsto \purple {\underline{Refractive\: index\: of\: the\: block}}$

➻More the refractive index,more is the lateral displacement.

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$\sf \colon \leadsto \orange {\underline{Wavelength\: of\: light\: used}}$

➻Since refractive index of the medium increases with the decrease in wavelength of light , lateral displacement increases with the decrease in wavelength of light.

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$\sf \colon \leadsto \green {\underline{Points\: to\: be\: noted:}}$

➻Lateral displacement is more for violet light than red light

➻lateral displacement (x) is given by:-

$\implies \tt {x=\frac{tsin(i-r)}{cos\:r}}$

➻where,

• t=Thickness of the glass block
• r=Angle of refraction
• i=Angle of incidence

➻In case of white light, for a given angle 'i', the angle 'r' is different for different colours.so the lateral displacement will also differ.

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Answer 2

Answer:

$\large\rm{\underbrace{\underline{Elucidatio}}}$

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• ➻Labelled ray diagram to show the lateral displacement of a light ray in a glass slab is provided in the above attached file.

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$\sf \to \red {\underline{\underline{Factors\: affecting\: lateral\: displacement:-}}}$

Factors affecting lateral displacement:−

• ➻The lateral displacement depends "x" on,

$\sf \colon \leadsto \blue {\underline{Thickness\: of\: the\: medium}}:$

• ➻More the thickness of the medium,more is the lateral displacement.

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$\sf \colon \leadsto \pink {\underline{Angle\: of\: incidence}}:$

Angle Of Incidence

• ➻More the angle of incidence,more is the lateral displacement.

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$\sf \colon \leadsto \purple {\underline{Refractive\: index\: of\: the\: block}}:$

Refractive Index Of The Block

• ➻More the refractive index,more is the lateral displacement.

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$\sf \colon \leadsto \orange {\underline{Wavelength\: of\: light\: used}}:⇝$

Wavelength Of Light Used

• ➻Since refractive index of the medium increases with the decrease in wavelength of light , lateral displacement increases with the decrease in wavelength of light.

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$\sf \colon \leadsto \green {\underline{Points\: to\: be\: noted:}}:⇝$

Points To Be Noted:

• ➻Lateral displacement is more for violet light than red light

• ➻lateral displacement (x) is given by:-

➻where,

• t=Thickness of the glass block
• r=Angle of refraction
• i=Angle of incidence

• ➻In case of white light, for a given angle 'i', the angle 'r' is different for different colours.so the lateral displacement will also differ.

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ItzJanhvi 10❤