a convex mirror used for rear view on an automobile has a radius of curvature of 3. 00m.if a bus is located at 5.00 from this mirror, find the position, nature and size of the image
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Answer:
v= +1.15
magnificatio= +0.23
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ɢɪᴠᴇɴ:-
ʀ=3ᴍ
ғ=ʀ/2=3/2=1.5ᴍ
ᴜ=5ᴍ
ᴠ=?
ᴍɪʀʀᴏʀ ғᴏʀᴍᴜʟᴀ:
1/ғ=1/ᴜ+1/ᴠ
ʙʏ sɪɢɴ ᴄᴏɴᴠᴇɴᴛɪᴏɴs:
1/1.5=1/-5+1/ᴠ
1/ᴠ=1/1.5+1/5⇒6.5/7.5
ᴠ=7.5/6.5
=1.15ᴍ
∴ᴛʜᴇ ɪᴍᴀɢᴇ ɪs ᴠɪʀᴛᴜᴀʟ sᴇᴇɴ ᴀᴛ ᴛʜᴇ ʙᴀᴄᴋ ᴏғ ᴍɪʀʀᴏʀ.
ᴍ=ʜɪ/ʜᴏ=-ᴠ/ᴜ
-1.15/-5=0.23
∴ɪᴍᴀɢᴇ ɪs ᴇʀᴇᴄᴛ ᴀɴᴅ ᴅɪᴍɪɴɪsʜᴇᴅ ɪɴ sɪᴢᴇ ʙʏ ᴀ ғᴀᴄᴛᴏʀ ᴏғ 0.23
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