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Get Answers to all your Questions
- #CBSE 10 Class
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- #Science Textbook for Class X
An object is placed 20 cm in front of a concave mirror with a focal length of 10 cm. Find the position of the image using the mirror formula.
Answers (1)
The mirror formula,
$$
\frac{1}{f}=\frac{1}{v}+\frac{1}{u}
$$
here, $f=$ focal length
$v=$ image distance
$u=$ object distance
Given in question:
- Object distance (u) = -20 cm (negative for concave mirror)
- Focal length (f) = -10 cm (negative for concave mirror)
Solution: Putting the given values in the formula,
$$
\begin{aligned}
& \frac{1}{-10}=\frac{1}{v}+\frac{1}{-20} \\
& \frac{1}{v}=\frac{1}{-10}+\frac{1}{20}=\frac{-2+1}{20}=-\frac{1}{20} \\
& v=-20 \mathrm{~cm}
\end{aligned}
$$
The image is formed 20 cm in front of the mirror, and it is real and inverted.
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