Question

24. An object of height 3 cm is placed in front of a convex lens of focal length 20 cm. If the

object is at a distance of 30 from the lens, find the position, nature and size of the image​

Answer 1

Answer:

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ᴜ=−12ᴄᴍ

ꜰ=+8ᴄᴍ

ʜᴏ=+3ᴄᴍ

ᴜꜱɪɴɢ ᴍɪʀʀᴏʀ ꜰᴏʀᴍᴜʟᴀ,

ᴠ1+ᴜ1=ꜰ1

ᴠ1+−301=81

ᴠ1−301=81

ᴠ1=81+301

ᴠ1=603+2

ᴠ1=605=121

ᴠ=+12ᴄᴍ

ᴛʜᴇʀᴇꜰᴏʀᴇ, ᴛʜᴇ ɪᴍᴀɢᴇ ᴡɪʟʟ ʙᴇ ꜰᴏʀᴍᴇᴅ ᴀᴛ ᴀ ᴅɪꜱᴛᴀɴᴄᴇ ᴏꜰ 12ᴄᴍ ʙᴇʜɪɴᴅ ᴛʜᴇ ᴍɪʀʀᴏʀ.

ᴍ=ᴜᴍ−ᴠ=−30ᴍ−12=+0.4

ᴍ=ʜᴏʜɪ

0.4=ʜᴏʜɪ

0.4=1ʜɪ

ʜɪ=+0.4ᴄᴍ

ᴛʜᴇʀᴇꜰᴏʀᴇ, ᴛʜᴇ ɪᴍᴀɢᴇ ꜰᴏʀᴍᴇᴅ ɪꜱ ᴅɪᴍɪɴɪꜱʜᴇᴅ ɪɴ ꜱɪᴢᴇ.

Answer 2

Answer:

ᴜ=−12ᴄᴍ

ꜰ=+8ᴄᴍ

ʜᴏ=+3ᴄᴍ

ᴜꜱɪɴɢ ᴍɪʀʀᴏʀ ꜰᴏʀᴍᴜʟᴀ,

ᴠ1+ᴜ1=ꜰ1

ᴠ1+−301=81

ᴠ1−301=81

ᴠ1=81+301

ᴠ1=603+2

ᴠ1=605=121

ᴠ=+12ᴄᴍ

ᴛʜᴇʀᴇꜰᴏʀᴇ, ᴛʜᴇ ɪᴍᴀɢᴇ ᴡɪʟʟ ʙᴇ ꜰᴏʀᴍᴇᴅ ᴀᴛ ᴀ ᴅɪꜱᴛᴀɴᴄᴇ ᴏꜰ 12ᴄᴍ ʙᴇʜɪɴᴅ ᴛʜᴇ ᴍɪʀʀᴏʀ.

ᴍ=ᴜᴍ−ᴠ=−30ᴍ−12=+0.4

ᴍ=ʜᴏʜɪ

0.4=ʜᴏʜɪ

0.4=1ʜɪ

ʜɪ=+0.4ᴄᴍ

ᴛʜᴇʀᴇꜰᴏʀᴇ, ᴛʜᴇ ɪᴍᴀɢᴇ ꜰᴏʀᴍᴇᴅ ɪꜱ ᴅɪᴍɪɴɪꜱʜᴇᴅ ɪɴ ꜱɪᴢᴇ.