Physics, asked by ashi734, 9 months ago

gud evening guys✌✌✌
feeling happy....

what is refractive index?

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Answered by Anonymous

$\huge{\blue{\fbox{\purple{\bigstar{\mathbf{\red{hello\:bro}}}}}}}$

$\red{\text{good evening}}$

ᴀ ʀᴀʏ ᴏғ ʟɪɢʜᴛ ʙᴇɪɴɢ ʀᴇғʀᴀᴄᴛᴇᴅ ɪɴ ᴀ ᴘʟᴀsᴛɪᴄ ʙʟᴏᴄᴋ

ɪɴ ᴏᴘᴛɪᴄs, ᴛʜᴇ ʀᴇғʀᴀᴄᴛɪᴠᴇ ɪɴᴅᴇx ᴏʀ ɪɴᴅᴇx ᴏғ ʀᴇғʀᴀᴄᴛɪᴏɴ ᴏғ ᴀ ᴍᴀᴛᴇʀɪᴀʟ ɪs ᴀ ᴅɪᴍᴇɴsɪᴏɴʟᴇss ɴᴜᴍʙᴇʀ ᴛʜᴀᴛ ᴅᴇsᴄʀɪʙᴇs ʜᴏᴡ ғᴀsᴛ ʟɪɢʜᴛ ᴛʀᴀᴠᴇʟs ᴛʜʀᴏᴜɢʜ ᴛʜᴇ ᴍᴀᴛᴇʀɪᴀʟ. ɪᴛ ɪs ᴅᴇғɪɴᴇᴅ ᴀs

${\ᴅɪsᴘʟᴀʏsᴛʏʟᴇ ɴ={\ғʀᴀᴄ {ᴄ}{ᴠ}},}ɴ={\ғʀᴀᴄ {ᴄ}{ᴠ}},$

ᴡʜᴇʀᴇ ᴄ ɪs ᴛʜᴇ sᴘᴇᴇᴅ ᴏғ ʟɪɢʜᴛ ɪɴ ᴠᴀᴄᴜᴜᴍ ᴀɴᴅ ᴠ ɪs ᴛʜᴇ ᴘʜᴀsᴇ ᴠᴇʟᴏᴄɪᴛʏ ᴏғ ʟɪɢʜᴛ ɪɴ ᴛʜᴇ ᴍᴇᴅɪᴜᴍ. ғᴏʀ ᴇxᴀᴍᴘʟᴇ, ᴛʜᴇ ʀᴇғʀᴀᴄᴛɪᴠᴇ ɪɴᴅᴇx ᴏғ ᴡᴀᴛᴇʀ ɪs 1.333, ᴍᴇᴀɴɪɴɢ ᴛʜᴀᴛ ʟɪɢʜᴛ ᴛʀᴀᴠᴇʟs 1.333 ᴛɪᴍᴇs ᴀs ғᴀsᴛ ɪɴ ᴠᴀᴄᴜᴜᴍ ᴀs ɪɴ ᴡᴀᴛᴇʀ. ɪɴᴄʀᴇᴀsɪɴɢ ʀᴇғʀᴀᴄᴛɪᴠᴇ ɪɴᴅᴇx ᴄᴏʀʀᴇsᴘᴏɴᴅs ᴛᴏ ᴅᴇᴄʀᴇᴀsɪɴɢ sᴘᴇᴇᴅ ᴏғ ʟɪɢʜᴛ ɪɴ ᴛʜᴇ ᴍᴀᴛᴇʀɪᴀʟ.

ɪʟʟᴜsᴛʀᴀᴛɪᴏɴ ᴏғ ᴛʜᴇ ɪɴᴄɪᴅᴇɴᴄᴇ ᴀɴᴅ ʀᴇғʀᴀᴄᴛɪᴏɴ ᴀɴɢʟᴇs

ʀᴇғʀᴀᴄᴛɪᴏɴ ᴏғ ᴀ ʟɪɢʜᴛ ʀᴀʏ

ᴛʜᴇ ʀᴇғʀᴀᴄᴛɪᴠᴇ ɪɴᴅᴇx ᴅᴇᴛᴇʀᴍɪɴᴇs ʜᴏᴡ ᴍᴜᴄʜ ᴛʜᴇ ᴘᴀᴛʜ ᴏғ ʟɪɢʜᴛ ɪs ʙᴇɴᴛ, ᴏʀ ʀᴇғʀᴀᴄᴛᴇᴅ, ᴡʜᴇɴ ᴇɴᴛᴇʀɪɴɢ ᴀ ᴍᴀᴛᴇʀɪᴀʟ. ᴛʜɪs ɪs ᴅᴇsᴄʀɪʙᴇᴅ ʙʏ sɴᴇʟʟ's ʟᴀᴡ ᴏғ ʀᴇғʀᴀᴄᴛɪᴏɴ, ɴ1 sɪɴθ1 = ɴ2 sɪɴθ2, ᴡʜᴇʀᴇ θ1 ᴀɴᴅ θ2 ᴀʀᴇ ᴛʜᴇ ᴀɴɢʟᴇs ᴏғ ɪɴᴄɪᴅᴇɴᴄᴇ ᴀɴᴅ ʀᴇғʀᴀᴄᴛɪᴏɴ, ʀᴇsᴘᴇᴄᴛɪᴠᴇʟʏ, ᴏғ ᴀ ʀᴀʏ ᴄʀᴏssɪɴɢ ᴛʜᴇ ɪɴᴛᴇʀғᴀᴄᴇ ʙᴇᴛᴡᴇᴇɴ ᴛᴡᴏ ᴍᴇᴅɪᴀ ᴡɪᴛʜ ʀᴇғʀᴀᴄᴛɪᴠᴇ ɪɴᴅɪᴄᴇs ɴ1 ᴀɴᴅ ɴ2. ᴛʜᴇ ʀᴇғʀᴀᴄᴛɪᴠᴇ ɪɴᴅɪᴄᴇs ᴀʟsᴏ ᴅᴇᴛᴇʀᴍɪɴᴇ ᴛʜᴇ ᴀᴍᴏᴜɴᴛ ᴏғ ʟɪɢʜᴛ ᴛʜᴀᴛ ɪs ʀᴇғʟᴇᴄᴛᴇᴅ ᴡʜᴇɴ ʀᴇᴀᴄʜɪɴɢ ᴛʜᴇ ɪɴᴛᴇʀғᴀᴄᴇ, ᴀs ᴡᴇʟʟ ᴀs ᴛʜᴇ ᴄʀɪᴛɪᴄᴀʟ ᴀɴɢʟᴇ ғᴏʀ ᴛᴏᴛᴀʟ ɪɴᴛᴇʀɴᴀʟ ʀᴇғʟᴇᴄᴛɪᴏɴ, ᴛʜᴇɪʀ ɪɴᴛᴇɴsɪᴛʏ (ғʀᴇsɴᴇʟ's ᴇϙᴜᴀᴛɪᴏɴs) ᴀɴᴅ ʙʀᴇᴡsᴛᴇʀ's ᴀɴɢʟᴇ.[1]

ᴛʜᴇ ʀᴇғʀᴀᴄᴛɪᴠᴇ ɪɴᴅᴇx ᴄᴀɴ ʙᴇ sᴇᴇɴ ᴀs ᴛʜᴇ ғᴀᴄᴛᴏʀ ʙʏ ᴡʜɪᴄʜ ᴛʜᴇ sᴘᴇᴇᴅ ᴀɴᴅ ᴛʜᴇ ᴡᴀᴠᴇʟᴇɴɢᴛʜ ᴏғ ᴛʜᴇ ʀᴀᴅɪᴀᴛɪᴏɴ ᴀʀᴇ ʀᴇᴅᴜᴄᴇᴅ ᴡɪᴛʜ ʀᴇsᴘᴇᴄᴛ ᴛᴏ ᴛʜᴇɪʀ ᴠᴀᴄᴜᴜᴍ ᴠᴀʟᴜᴇs: ᴛʜᴇ sᴘᴇᴇᴅ ᴏғ ʟɪɢʜᴛ ɪɴ ᴀ ᴍᴇᴅɪᴜᴍ ɪs ᴠ = ᴄ/ɴ, ᴀɴᴅ sɪᴍɪʟᴀʀʟʏ ᴛʜᴇ ᴡᴀᴠᴇʟᴇɴɢᴛʜ ɪɴ ᴛʜᴀᴛ ᴍᴇᴅɪᴜᴍ ɪs λ = λ0/ɴ, ᴡʜᴇʀᴇ λ0 ɪs ᴛʜᴇ ᴡᴀᴠᴇʟᴇɴɢᴛʜ ᴏғ ᴛʜᴀᴛ ʟɪɢʜᴛ ɪɴ ᴠᴀᴄᴜᴜᴍ. ᴛʜɪs ɪᴍᴘʟɪᴇs ᴛʜᴀᴛ ᴠᴀᴄᴜᴜᴍ ʜᴀs ᴀ ʀᴇғʀᴀᴄᴛɪᴠᴇ ɪɴᴅᴇx ᴏғ 1, ᴀɴᴅ ᴛʜᴀᴛ ᴛʜᴇ ғʀᴇϙᴜᴇɴᴄʏ (ғ = ᴠ/λ) ᴏғ ᴛʜᴇ ᴡᴀᴠᴇ ɪs ɴᴏᴛ ᴀғғᴇᴄᴛᴇᴅ ʙʏ ᴛʜᴇ ʀᴇғʀᴀᴄᴛɪᴠᴇ ɪɴᴅᴇx. ᴀs ᴀ ʀᴇsᴜʟᴛ, ᴛʜᴇ ᴘᴇʀᴄᴇɪᴠᴇᴅ ᴄᴏʟᴏʀ ᴏғ ᴛʜᴇ ʀᴇғʀᴀᴄᴛᴇᴅ ʟɪɢʜᴛ ᴛᴏ ᴀ ʜᴜᴍᴀɴ ᴇʏᴇ ᴡʜɪᴄʜ ᴅᴇᴘᴇɴᴅs ᴏɴ ᴛʜᴇ ғʀᴇϙᴜᴇɴᴄʏ ɪs ɴᴏᴛ ᴀғғᴇᴄᴛᴇᴅ ʙʏ ᴛʜᴇ ʀᴇғʀᴀᴄᴛɪᴏɴ ᴏʀ ᴛʜᴇ ʀᴇғʀᴀᴄᴛɪᴠᴇ ɪɴᴅᴇx ᴏғ ᴛʜᴇ ᴍᴇᴅɪᴜᴍ.

ᴛʜᴇ ʀᴇғʀᴀᴄᴛɪᴠᴇ ɪɴᴅᴇx ᴠᴀʀɪᴇs ᴡɪᴛʜ ᴡᴀᴠᴇʟᴇɴɢᴛʜ, ᴛʜɪs ᴄᴀᴜsᴇs ᴡʜɪᴛᴇ ʟɪɢʜᴛ ᴛᴏ sᴘʟɪᴛ ɪɴᴛᴏ ᴄᴏɴsᴛɪᴛᴜᴇɴᴛ ᴄᴏʟᴏʀs ᴡʜᴇɴ ʀᴇғʀᴀᴄᴛᴇᴅ. ᴛʜɪs ɪs ᴄᴀʟʟᴇᴅ ᴅɪsᴘᴇʀsɪᴏɴ. ɪᴛ ᴄᴀɴ ʙᴇ ᴏʙsᴇʀᴠᴇᴅ ɪɴ ᴘʀɪsᴍs ᴀɴᴅ ʀᴀɪɴʙᴏᴡs, ᴀɴᴅ ᴀs ᴄʜʀᴏᴍᴀᴛɪᴄ ᴀʙᴇʀʀᴀᴛɪᴏɴ ɪɴ ʟᴇɴsᴇs. ʟɪɢʜᴛ ᴘʀᴏᴘᴀɢᴀᴛɪᴏɴ ɪɴ ᴀʙsᴏʀʙɪɴɢ ᴍᴀᴛᴇʀɪᴀʟs ᴄᴀɴ ʙᴇ ᴅᴇsᴄʀɪʙᴇᴅ ᴜsɪɴɢ ᴀ ᴄᴏᴍᴘʟᴇx-ᴠᴀʟᴜᴇᴅ ʀᴇғʀᴀᴄᴛɪᴠᴇ ɪɴᴅᴇx.[2] ᴛʜᴇ ɪᴍᴀɢɪɴᴀʀʏ ᴘᴀʀᴛ ᴛʜᴇɴ ʜᴀɴᴅʟᴇs ᴛʜᴇ ᴀᴛᴛᴇɴᴜᴀᴛɪᴏɴ, ᴡʜɪʟᴇ ᴛʜᴇ ʀᴇᴀʟ ᴘᴀʀᴛ ᴀᴄᴄᴏᴜɴᴛs ғᴏʀ ʀᴇғʀᴀᴄᴛɪᴏɴ. ғᴏʀ ᴍᴏsᴛ ᴍᴀᴛᴇʀɪᴀʟs ᴛʜᴇ ʀᴇғʀᴀᴄᴛɪᴠᴇ ɪɴᴅᴇx ᴄʜᴀɴɢᴇs ᴡɪᴛʜ ᴡᴀᴠᴇʟᴇɴɢᴛʜ ʙʏ sᴇᴠᴇʀᴀʟ ᴘᴇʀᴄᴇɴᴛ ᴀᴄʀᴏss ᴛʜᴇ ᴠɪsɪʙʟᴇ sᴘᴇᴄᴛʀᴜᴍ. ɴᴇᴠᴇʀᴛʜᴇʟᴇss, ʀᴇғʀᴀᴄᴛɪᴠᴇ ɪɴᴅɪᴄᴇs ғᴏʀ ᴍᴀᴛᴇʀɪᴀʟs ᴀʀᴇ ᴄᴏᴍᴍᴏɴʟʏ ʀᴇᴘᴏʀᴛᴇᴅ ᴜsɪɴɢ ᴀ sɪɴɢʟᴇ ᴠᴀʟᴜᴇ ғᴏʀ ɴ, ᴛʏᴘɪᴄᴀʟʟʏ ᴍᴇᴀsᴜʀᴇᴅ ᴀᴛ 633 ɴᴍ.

ᴛʜᴇ ᴄᴏɴᴄᴇᴘᴛ ᴏғ ʀᴇғʀᴀᴄᴛɪᴠᴇ ɪɴᴅᴇx ᴀᴘᴘʟɪᴇs ᴡɪᴛʜɪɴ ᴛʜᴇ ғᴜʟʟ ᴇʟᴇᴄᴛʀᴏᴍᴀɢɴᴇᴛɪᴄ sᴘᴇᴄᴛʀᴜᴍ, ғʀᴏᴍ x-ʀᴀʏs ᴛᴏ ʀᴀᴅɪᴏ ᴡᴀᴠᴇs. ɪᴛ ᴄᴀɴ ᴀʟsᴏ ʙᴇ ᴀᴘᴘʟɪᴇᴅ ᴛᴏ ᴡᴀᴠᴇ ᴘʜᴇɴᴏᴍᴇɴᴀ sᴜᴄʜ ᴀs sᴏᴜɴᴅ. ɪɴ ᴛʜɪs ᴄᴀsᴇ ᴛʜᴇ sᴘᴇᴇᴅ ᴏғ sᴏᴜɴᴅ ɪs ᴜsᴇᴅ ɪɴsᴛᴇᴀᴅ ᴏғ ᴛʜᴀᴛ ᴏғ ʟɪɢʜᴛ, ᴀɴᴅ ᴀ ʀᴇғᴇʀᴇɴᴄᴇ ᴍᴇᴅɪᴜᴍ ᴏᴛʜᴇʀ ᴛʜᴀɴ ᴠᴀᴄᴜᴜᴍ ᴍᴜsᴛ ʙᴇ ᴄʜᴏsᴇɴ.[3]

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Answered by sireesha36

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gud evening guys✌✌✌feeling happy....what is refractive index?​

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PLZZ MARK AS BRAINLIEST ♥️..

gud evening guys✌✌✌
feeling happy....

what is refractive index?