Question

A convex mirror has a focal length bof -10.8cm an object bis places 32.7cm from the mirror surface determine the image distance

Answer 1

Answer: di = -8.1 cm

Use the equation 1 / f = 1 / do + 1 / di where f = -10.8 cm and do = + 32.7 cm

Substitute and solve for di.

Explanation:

Answer 2

The Distance Of The Image Is -0.12 Cm

GIVEN

The focal length of the convex mirror = -10.8cm

object distance = 32.7cm

TO FIND

Image distance

SOLUTION

we can simply solve the above problem as under-

To find out the image distance we apply the mirror formula -

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

where,

u = object distance

v = image distance

f = focal length of the mirror.

Putting the values in the above formula;

$- \frac{1}{10.8} = \frac{1}{v} + \frac{1}{32.7}$

or,

$\frac{1}{v} = - \frac{1}{10.8} - \frac{1}{32.7}$

$\frac{1}{v} = - \frac{1}{0.12}$

or,

v = - 0.12 cm

the negative value of image distance represents that the image formed is virtual and is located on the same side as the object.

Hence, The Distance Of The Image Is -0.12 Cm

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