Published by:
CGP EDU Academic Team
Published on: September 12, 2026
Find the velocity of image in situation as shown in fig.

Text Solution
Verified by ExpertsThe correct answer is:
A
In the given diagram, we observe a concave mirror and the object placed at a distance of 30 cm from the mirror. Applying the mirror formula, \( \frac{1}{f} = \frac{1}{u} + \frac{1}{v} \), where \( f \) is the focal length, \( u \) is the object distance, and \( v \) is the image distance.
For a concave mirror, the focal length \( f \) is negative and is given as \( f = -15 \) cm (since the focal length is half of the radius of curvature, which is 30 cm). Using the mirror formula:
For a concave mirror, the focal length \( f \) is negative and is given as \( f = -15 \) cm (since the focal length is half of the radius of curvature, which is 30 cm). Using the mirror formula:
- Substituting the values:
\( \frac{1}{-15} = \frac{1}{-30} + \frac{1}{v} \) - Rearranging gives us: \( \frac{1}{v} = \frac{1}{-15} + \frac{1}{30} = -\frac{2}{30} + \frac{1}{30} = -\frac{1}{30} \)
- Therefore, \( v = -30 \) cm, indicating that the image is virtual and on the same side as the object.
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