Question

How is refractive index of a medium related to the speed of light obtain an expression for refractive index of a medium with respect to another in terms of speed of light and in this two medium?

Answer 1

Sin i / sin r = refractive index

Answer 2

$\: \: \: \: \: \: \: \: \: \: \: \: \: \huge\fbox{\color{violet}{\colorbox{green}{\tt{Answer }}}}$

Tʜᴇ ʀᴇғʀᴀᴄᴛɪᴠᴇ ɪɴᴅᴇx ᴏғ ᴍᴇᴅɪᴜᴍ ᴡɪᴛʜ ʀᴇsᴘᴇᴄᴛ ᴛᴏ ᴍᴇᴅɪᴜᴍ ɪs ɢɪᴠᴇɴ ʙʏ ᴛʜᴇ ʀᴀᴛɪᴏ ᴏғ ᴛʜᴇ sᴘᴇᴇᴅ ᴏғ ʟɪɢʜᴛ ɪɴ ᴍᴇᴅɪᴜᴍ ᴛᴏ ᴛʜᴇ sᴘᴇᴇᴅ ᴏғ ʟɪɢʜᴛ ɪɴ ᴍᴇᴅɪᴜᴍ . Tʜɪs ɪs ᴜsᴜᴀʟʟʏ ʀᴇᴘʀᴇsᴇɴᴛᴇᴅ ʙʏ ᴛʜᴇ sʏᴍʙᴏʟ ɴ₂₁. Tʜɪs ᴄᴀɴ ʙᴇ ᴇxᴘʀᴇssᴇᴅ ɪɴ ᴀɴ ᴇǫᴜᴀᴛɪᴏɴ ғᴏʀᴍ ᴀs sʜᴏᴡɴ ʙᴇʟᴏᴡ.

${\boxed{\tt{\blue{n₂₁ = \frac{Speed \: of \: light \: in \: medium \: 1}{Speed \: of \: light \: in \: medium \: 2} = \frac{v₁}{v₂} }}}}$

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