Question

An object 6cm high is placed at a distance of 36 cm from a diverging lens of focal length 12 cm.find the position and size of the image
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Answer 1

$\huge\mathfrak{Bonjour!!}$

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

✒ᴀɴsᴡᴇʀ:-

⛄ ɢɪᴠᴇɴ ᴛʜᴀᴛ,

★ ʜ = 6 ᴄᴍ,

★ ᴜ = -36 ᴄᴍ,

ᴀɴᴅ

★ ғ = -12 ᴄᴍ.

ᴜsɪɴɢ ᴛʜᴇ ʟᴇɴs ғᴏʀᴍᴜʟᴀ, ᴡᴇ ɢᴇᴛ,

1/ᴠ - 1/ᴜ = 1/ғ

➠ 1/ᴠ - 1/-36 = - 1/12

➠ 1/ᴠ = - 1/9

➠ ᴠ = -9 ᴄᴍ.

ᴍᴀɢɴɪғɪᴄᴀᴛɪᴏɴ, ᴍ = ᴠ/ᴜ = -9/-36

➠ ᴍ = 0.25 ᴄᴍ.

ᴀʟsᴏ, ᴍ = ʜ/ʜ'

➠ ʜ' = ᴍ × ʜ = 0.25 × 6 ᴄᴍ

➠ ʜ' = 1.5 ᴄᴍ

ᴛʜᴜs, ᴛʜᴇ ɪᴍᴀɢᴇ ғᴏʀᴍᴇᴅ ɪs ᴅɪᴍɪɴɪsʜᴇᴅ, ᴇʀᴇᴄᴛ, ᴀɴᴅ ᴠɪʀᴛᴜᴀʟ ɪɴ ɴᴀᴛᴜʀᴇ. ɪᴛ ɪs ғᴏʀᴍᴇᴅ ʙᴇᴛᴡᴇᴇɴ ᴛʜᴇ ғᴏᴄᴜs ᴀɴᴅ ᴛʜᴇ ᴏᴘᴛɪᴄᴀʟ ᴄᴇɴᴛʀᴇ.

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