Question

112.) The image formed by a convex mirror is of size
one-third the size of object. How are u and
related ?
Ans. V=-- u oru=-3y

Answer 1

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The image formed by a convex mirror is of size ⅓ the size of object. How can you relate u and v.

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• Image formed by Convex mirror is ⅓ of size of object.

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• Relation between u and v.

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Height of Object (h) = H

Height of image (h') = ⅓H

We know :

${\boxed{\sf Magnification\:of\:image(m)=\dfrac{Height\:of\:image}{Height\:of\: Object} }}$

$\implies{\sf m=\dfrac{h'}{h} }$

$\implies{\sf m=\dfrac{\dfrac{1}{3}H}{H} }$

$\implies{\sf m=\dfrac{1}{3} }$

Also ,

$\large{\boxed{\sf m=\dfrac{-v}{u}}}$

v = Distance of image

u = Distance of object

$\implies{\sf \dfrac{1}{3}=-\dfrac{v}{u}}$

$\implies{\sf u=-3v }$

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•°• Relation between u and v in the given condition is u = -3v