derive an expression for minimum deviation for a prism
explain with diagram
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Answered by
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Answer:
Explanation:
ᴀ=ᴩʀɪꜱᴍ ᴀɴɢʟᴇ, δ=ᴀɴɢʟᴇ ᴏꜰ ᴅᴇᴠɪᴀᴛɪᴏɴ, ɪ1=ᴀɴɢʟᴇ ᴏꜰ ɪɴᴄɪᴅᴇɴᴄᴇ, ɪ2=ᴀɴɢʟᴇ ᴏꜰ ᴇᴍᴇʀɢᴇɴᴛ.
- ɪɴ ᴛʜᴇ ᴄᴀꜱᴇ ᴏꜰ ᴍɪɴɪᴍᴜᴍ ᴅᴇᴠɪᴀᴛɪᴏɴ,∠ʀ1=∠ʀ2=∠ʀ.
- ᴀ=∠ʀ1+∠ʀ2
- ᴀ+δ=ɪ1+ɪ2 (∵ ɪɴ ᴛʜᴇ ᴄᴀꜱᴇ ᴏꜰ ᴍɪɴɪᴍᴜᴍ ᴅᴇᴠɪᴀᴛɪᴏɴ.
- ɪ1=ɪ2=ɪ ᴀɴᴅ δ=δᴍ)
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Answer ❤️
A= prism angle, €= angle of deviation I 1 is equal to angle of incidence I 2 is equal to angle
- in the case of minimum deviation, angle R1 = angle R2 = angle r
- A= angle R1+angle R2
- A+,£=i1+i2 (indication of minimum deviation.
- i1 = i2 = I and £=£m
hope help you
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