A point object \( O \) is placed at a distance \( 2 f \) from a thin convex lens of focal length...
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0A point object \( O \) is placed at a distance \( 2 f \) from a thin convex lens of focal length \( f \) as shown in figure. The lens starts rotating about an axis perpendicular to the plane of paper, (object remains fixed and \( O A \) remains in the same plane), the speed of image when object is rotated by \( 2^{\circ} \) is:
(a) \( \frac{4 f \omega \pi}{90} \mathrm{~m} / \mathrm{s} \) along \( A B \)
(b) \( \frac{4 f \omega \pi}{90} \mathrm{~m} / \mathrm{s} \) along \( B A \)
(c) \( \frac{2 f \omega \pi}{90} \mathrm{~m} / \mathrm{s} \) along \( A B \)
(d) \( \frac{2 f \omega \pi}{90} \mathrm{~m} / \mathrm{s} \) along \( B A \)
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