Question

An object is placed at a distance x from a convex mirror of focal length 15cm when an image is formed at distance of 6cm behind the mirror. the value of x is
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Answer 1

Answer:

,

Explanation:

the answer is 10 cm . use the formula:1/f=1/v-1/u

Answer 2

Answer:

An object is placed at a distance of 4.28 cm from a convex mirror.

Explanation:

We will use the mirror formula to solve,

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

Where,

f=focal length of the mirror

v= image distance from the mirror

u= object distance from the mirror

From the question we have,

The object distance from the mirror(u)= x

The focal length of the mirror(f)=-15 cm

The image distance from the mirror(v)= 6cm

By inserting the value of "u","f", and "v" in equation (1) we get;

${\frac{1}{-15}=\frac{1}{6}-\frac{1}{x}}$

${\frac{1}{x}=\frac{1}{6}+\frac{1}{15}}$

${\frac{1}{x}=\frac{5+2}{30}}$

$\mathrm{x=\frac{30}{7} }$

$\mathrm{x=4.28\ cm}$

Hence, an object is placed at a distance of 4.28 cm from a convex mirror.

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