Question

An object is placed at 60 cm from the pole of a concave mirror, whose focal length is 20 cm. Find the distance at which the image is formed.​

Answer 1

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$\huge\fcolorbox{black}{aqua}{Solution:-}$

✒ ᴀɴsᴡᴇʀ:-

⛄ ᴠ = -30 ᴄᴍ

✒ ᴇxᴘʟᴀɴᴀᴛɪᴏɴ:-

⛄ ғᴏʀ ᴀ ᴄᴏɴᴄᴀᴠᴇ ᴍɪʀʀᴏʀ ᴏғ ғᴏᴄᴀʟ ʟᴇɴɢᴛʜ, ғ ᴛʜᴇ ᴍɪʀʀᴏʀ ғᴏʀᴍᴜʟᴀ ʙᴀsᴇᴅ ᴏɴ ᴏʙᴊᴇᴄᴛ ᴅɪsᴛᴀɴᴄᴇ, ᴜ ᴀɴᴅ ᴛʜᴇ ɪᴍᴀɢᴇ ᴅɪsᴛᴀɴᴄᴇ ᴠ ᴄᴀɴ ʙᴇ ᴡʀɪᴛᴛᴇɴ ᴀs,

1/ᴠ + 1/ᴜ = 1/ғ

ɢɪᴠᴇɴ,

★ᴜ= -60 ᴄᴍ,

★ ғ = -20 ᴄᴍ (ᴜsɪɴɢ ᴛʜᴇ sɪɢɴ ᴄᴏɴᴠᴇɴᴛɪᴏɴs)

=) 1/ᴠ - 1/60 = -1/20

=) 1/ᴠ = -1/30

=) ᴠ = -30 ᴄᴍ (ᴡɪᴛʜ sɪɢɴ ᴄᴏɴᴠᴇɴᴛɪᴏɴ)

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