Find the size of the image formed by a spherical mirror from the following data :
$u = - 20 c m$ , $f = - 15 c m$ and height of object $= 1.0 c m$

6 c m

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5 c m

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3 c m

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4 c m

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Solution

The correct option is B $3 c m$
Given:
$u = - 20$
$f = - 15$
We know
$\frac{1}{f} = \frac{1}{v} + \frac{1}{u}$
$\frac{1}{- 15} = \frac{1}{v} + \frac{1}{- 20}$
$v = - 60 c m$
Now the magnification $m = - \frac{v}{u} = - 3$
Height of object $h = 1 c m$
Height of image $h_{1} = | m | \times h = 3 \times 1 = 3 c m$

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Find the size of the image formed by a spherical mirror from the following data :u=−20 cm, f=−15 cm and height of object =1.0 cm

The correct option is B 3 cmGiven:u=−20f=−15We know 1f=1v+1u1−15=1v+1−20v=−60cmNow the magnification m=−vu=−3Height of object h=1cmHeight of image h1=|m|×h=3×1=3cm

Find the size of the image formed by a spherical mirror from the following data :
$u = - 20 c m$ , $f = - 15 c m$ and height of object $= 1.0 c m$