KCET · Physics · Dual Nature of Matter

A linear object of height \( 10 \mathrm{~cm} \) is kept in front of a concave mirror of radius of curvature \( 15 \mathrm{~cm} \),
at a distance of \( 10 \mathrm{~cm} \). The image formed is

A magnified and erect
B magnified and inverted
C diminished and erect
D diminished and inverted

Verified Solution

Answer & Solution

Correct Answer

(B) magnified and inverted

Step-by-step Solution

Detailed explanation

Given, height of object \( =10 \mathrm{~cm} \); radius of curvature \( =15 \mathrm{~cm} \); distance of object \( =10 \mathrm{~cm} \).
Since radius of curvature is \( 15 \mathrm{~cm} \), so focal length \( =\frac{15}{2}=7.5 \mathrm{~cm} \)
\( \Rightarrow f < u \)

Thus, the object is placed between centre of curvature and focus of the concave mirror.
Therefore, the image formed is magnified and inverted.

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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A linear object of height \( 10 \mathrm{~cm} \) is kept in front of a concave mirror of radius of curvature \( 15 \mathrm{~cm} \),at a distance of \( 10 \mathrm{~cm} \). The image formed is

Step-by-step Solution

A linear object of height \( 10 \mathrm{~cm} \) is kept in front of a concave mirror of radius of curvature \( 15 \mathrm{~cm} \),
at a distance of \( 10 \mathrm{~cm} \). The image formed is