A circular plate of 2 cm is kept at a distance of 22 cm in front of a concave mirror. The focal length of the mirror is 10 cm. Calculate the perimeter of the image formed if plate is kept coaxially to the principle axis.
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ᴛʜᴇ ʀᴇᴀʟ ᴀɴᴅ ɪɴᴠᴇʀᴛᴇᴅ ɪᴍᴀɢᴇ ᴄʀᴇᴀᴛᴇᴅ ʙʏ ᴀ ᴄᴏɴᴄᴀᴠᴇ ᴍɪʀʀᴏʀ ʙᴇᴄᴏᴍᴇꜱ ᴏꜰ ᴇQᴜᴀʟ ꜱɪᴢᴇ ᴛᴏ ᴛʜᴇ ᴏʙᴊᴇᴄᴛ ᴡʜᴇɴ ʙᴏᴛʜ ᴏʙᴊᴇᴄᴛ ᴀɴᴅ ɪᴍᴀɢᴇꜱ ᴀʀᴇ ꜱɪᴛᴜᴀᴛᴇᴅ ᴏɴ ᴛʜᴇ ᴄᴇɴᴛʀᴇ ᴏꜰ ᴄᴜʀᴠᴀᴛᴜʀᴇ.
ᴛʜɪꜱ ᴍᴇᴀɴꜱ ᴛʜᴀᴛ ᴛʜᴇ ᴏʙᴊᴇᴄᴛ ᴅɪꜱᴛᴀɴᴄᴇ ɪꜱ ᴇQᴜᴀʟ ᴛᴏ ᴛʜᴇ ʀᴀᴅɪᴜꜱ ᴏꜰ ᴄᴜʀᴠᴀᴛᴜʀᴇ ꜰᴏʀ ᴛʜᴇ ᴍɪʀʀᴏʀ.
ʀᴀᴅɪᴜꜱ ᴏꜰ ᴄᴜʀᴠᴀᴛᴜʀᴇ =2× ꜰᴏᴄᴀʟ ʟᴇɴɢᴛʜ ᴏꜰ ᴛʜᴇ ᴍɪʀʀᴏʀ.
ɢɪᴠᴇɴ, ꜰᴏᴄᴀʟ ʟᴇɴɢᴛʜ ᴏꜰ ᴛʜᴇ ᴍɪʀʀᴏʀ =15ᴄᴍ
ꜱᴏ, ᴏʙᴊᴇᴄᴛ ᴅɪꜱᴛᴀɴᴄᴇ = ʀᴀᴅɪᴜꜱ ᴏꜰ ᴄᴜʀᴠᴀᴛᴜʀᴇ =2×15ᴄᴍ=30ᴄᴍ
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