Refractive Index Of Water Is 4/3 And Glass Is 3/2 Wuth Regard To Air What Is The Refractive Index Of Glass With Repect To Water
Answers
The refractive index of water with respect to
air 4/3 i.e. the speed of light in air/ speed of light
in water 4/3 (1) The refractive index of glass with
respect to air 3/2 i.e., speed of light in air/ speed
of light in glass 3/2 (2) By dividing equation 2 by
1, we get, The refractive index of glass with respect
to water 9/8
✒ᴀɴsᴡᴇʀ:-
⛄ ᴛʜᴇ ʀᴇғʀᴀᴄᴛɪᴠᴇ ɪɴᴅᴇx ᴏғ ɢʟᴀss ᴡɪᴛʜ ʀᴇsᴘᴇᴄᴛ ᴛᴏ ᴡᴀᴛᴇʀ ɪs 9/8.
✒ ᴇxᴘʟᴀɴᴀᴛɪᴏɴ:-
⛄ʀᴇғʀᴀᴄᴛɪᴠᴇ ɪɴᴅᴇx ᴏғ ᴀɪʀ μ1 = 1
ʀᴇғʀᴀᴄᴛɪᴠᴇ ɪɴᴅᴇx ᴏғ ᴡᴀᴛᴇʀ ᴡɪᴛʜ ʀᴇsᴘᴇᴄᴛ ᴛᴏ ᴀɪʀ = μ21 = μ2 = 4/3
ʀᴇғʀᴀᴄᴛɪᴠᴇ ɪɴᴅᴇx ᴏғ ɢʟᴀss ᴡɪᴛʜ ʀᴇsᴘᴇᴄᴛ ᴛᴏ ᴀɪʀ = μ31 = μ3 = 3/2
ᴛʜᴇʀᴇғᴏʀᴇ,
ʀᴇғʀᴀᴄᴛɪᴠᴇ ɪɴᴅᴇx ᴏғ ɢʟᴀss ᴡɪᴛʜ ʀᴇsᴘᴇᴄᴛ ᴛᴏ ᴡᴀᴛᴇʀ ɪs
μ32 = μ31 × μ12 = μ31/μ21 = μ3/μ2
ᴏʀ
μ32 = (3/2)/(4/3) = 9/8
★ ᴛʜᴇʀᴇғᴏʀᴇ, ᴛʜᴇ ʀᴇғʀᴀᴄᴛɪᴠᴇ ɪɴᴅᴇx ᴏғ ɢʟᴀss ᴡɪᴛʜ ʀᴇsᴘᴇᴄᴛ ᴛᴏ ᴡᴀᴛᴇʀ ɪs 9/8.