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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Find the image distance (v).......
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Ankur_1 (120)

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Que. - The image formed by a concave mirror is 1/2 in size of the object. If object is placed at 10 cm. from the mirror, where is the imaged formed?

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Decoder (331)

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for a concave mirror the magnification is given by -v/u..

thus 2 = -v/u..

v= -2u...

so image formed is 20 cm away from the mirror on the +ve side..

Diamonds r formed under greatest pressures..
so r the champs.


Kriteesh..


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karansingh (397)

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m= hi / ho = - v /u ( u must be knowing that as u r in class x )

v = - u.hi / ho

as per ur ques, absolute( hi / ho ) is 1 / 2. but image an only be smaller in concave mirror when it is real. so hi/ho is -1 / 2 as image is inverted.

v = - ( - 10 )x(-1/2)
      = - 5 cm.

so image is 5 cm in front of mirror ( -ve side ).


Please Note
above answer given by DECODER is wrong bcoz he takes m = 2.
2 reasons why its wrong:

1. if image is 20 cm behind the mirror (+ve) , it is virtual. which means hi ho for a conacve mirror. but the question says hi = ho / 2.

2. hi < ho is possible in a concave mirror only when absolute( v ) < absolute( u ).

rate me if u found it useful and if it resolved ur queries.

by the way, i too am in class X

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