A convex mirror has a focal length of 15 cm. A 15 cm tall object is placed at a distance of 10 cm from the mirror. What is the size of the image formed?!
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When an object is placed at a distance of 15 cm from a concave mirror, its image is formed at 10 cm in front of the mirror. When an object is placed at a distance of 15 cm from a concave mirror, its image is formed at 10 cm in front of the mirror.
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✒ ᴀɴsᴡᴇʀ:-
⛄ sɪᴢᴇ ᴏғ ᴛʜᴇ ɪᴍᴀɢᴇ ғᴏʀᴍᴇᴅ = 9 ᴄᴍ.
✒ ᴇxᴘʟᴀɴᴀᴛɪᴏɴ:-
⛄ ɢɪᴠᴇɴ:-
★ ғ = 15 ᴄᴍ.
★ ᴜ = -10 ᴄᴍ.
ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ,
1/ᴠ + 1/ᴜ = 1/ғ
=) 1/ᴠ = 1/ғ - 1/ᴜ
=) 1/15 - 1/-10
=) 25/15 × 10
=) ᴠ = 6 ᴄᴍ.
ɴᴏᴡ,
ᴍ = -ᴠ/ᴜ
= 6/10
= 0.6
ᴀʟsᴏ,
ʜɪ = ᴍ × ʜᴏ
=) ʜɪ= 0.6 × 15
=) ʜɪ = 9 ᴄᴍ.
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