Question

An object is placed 15cm from a convex mirror of focal length 45. The image formed is at ?

Answer 1

Pikaa ^_^
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Given:

u = -15 cm

f = 45 cm ( positive for a convex mirror )

To find:

v = ?

Applying Mirror formula i.e.

$\frac{1}{v} + \frac{1}{u} = \frac{1}{f}$


$\frac{1}{v} = \frac{1}{f} - \frac{1}{u}$


$\frac{1}{v} = \frac{1}{45} - ( \frac{-1}{15} )$


$\frac{1}{v} = \frac{1+3}{45} ( by taking lcm)$


$\frac{1}{v} = \frac{4}{45}$


$v = \frac{45}{4}$


v = 11.25 (approx)

The image will be virtual and erect as convex mirror always form virtual and erect image and it will be formed at a distance of 11.25 cm
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Pikaa ^_^