A telescope made of mirror is used to observe the moon. It forms an inverted image of the moon at 3.5km from the eye piece. find the diameter of the image of moon. given the diameter of moon is 1700 km and the distance of moon from earth is 350000 km.
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plzz give Explanation.
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telescope made of mirror is used to o diameter of
Answered by
1
Answer:
✒ ᴀɴsᴡᴇʀ:-
⛄ ᴅɪᴀᴍᴇᴛᴇʀ ᴏғ ᴛʜᴇ ᴍᴏᴏɴ's ɪᴍᴀɢᴇ = 17 ᴍ.
✒ ᴇxᴘʟᴀɴᴀᴛɪᴏɴ:-
⛄ ɢɪᴠᴇɴ:-
★ ʜ = ᴅɪᴀᴍᴇᴛᴇʀ ᴏғ ᴍᴏᴏɴ = 1700 ᴋᴍ.
★ ᴜ = 350,00 ᴋᴍ ᴅɪsᴛᴀɴᴄᴇ ᴏғ ᴍᴏᴏɴ ғʀᴏᴍ ᴛʜᴇ ᴇᴀʀᴛʜ
(ᴏʙᴊᴇᴄᴛ ᴅɪsᴛᴀɴᴄᴇ)
★ ᴠ = 3.5 ᴋᴍ ᴅɪsᴛᴀɴᴄᴇ ᴏғ ɪᴍᴀɢᴇ ᴏғ ᴍᴏᴏɴ ғʀᴏᴍ ᴛʜᴇ ᴇᴀʀᴛʜ. (ɪᴍᴀɢᴇ ᴅɪsᴛᴀɴᴄᴇ)
ʟᴇᴛ ʜ' ʙᴇ ᴛʜᴇ ɪᴍᴀɢᴇ ᴅɪsᴛᴀɴᴄᴇ ɪ.ᴇ., ᴛʜᴇ ᴅɪᴀᴍᴇᴛᴇʀ ᴏғ ᴛʜᴇ ᴍᴏᴏɴ's ɪᴍᴀɢᴇ ᴀɴᴅ ᴍ ʙᴇ ᴛʜᴇ ᴍᴀɢɴɪғɪᴄᴀᴛɪᴏɴ.
ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ,
ᴍ = ʜ'/ʜ = - ᴠ/ᴜ
ᴏɴ sᴜʙsᴛɪᴛᴜᴛɪɴɢ ᴛʜᴇ ɢɪᴠᴇɴ ᴠᴀʟᴜᴇs ᴡᴇ ɢᴇᴛ,
ʜ'/1700 = -3.5/350000
ʜ' = -17 × 10^-3 ᴋᴍ = -17 ᴍ.
ᴛʜᴇ ɴᴇɢᴀᴠɪᴛɪᴠᴇ sɪɢɴ sʜᴏᴡs ᴛʜᴀᴛ ᴛʜᴇ ɪᴍᴀɢᴇ ᴏғ ᴛʜᴇ ᴍᴏᴏɴ ɪs ɪɴᴠᴇʀᴛᴇᴅ.
ᴅɪᴀᴍᴇᴛᴇʀ ᴏғ ᴍᴏᴏɴ's ɪᴍᴀɢᴇ = 17 ᴍ.
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