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(D) Initially, the object is at the focus $(u = -f)$. As the lens moves to the right, the object distance $u$ effectively becomes greater than the foc

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first move towards the left and then towards the right

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(D) Initially, the object is at the focus $(u = -f)$. As the lens moves to the right, the object distance $u$ effectively becomes greater than the focal length $f$ (in magnitude). According to the lens formula $\frac{1}{v} - \frac{1}{u} = \frac{1}{f}$, as $u$ changes from $-f$ to a value slightly less than $-f$, the image $v$ moves from $\infty$ towards the lens (i.e., towards the left). As the lens continues to move, the object eventually enters the region between the focus and the optical centre $(|u| Therefore, the image first moves towards the left and then towards the right.

$A$ point object is kept at the first focus of a convex lens. If the lens starts moving towards the right with a constant velocity, the image will

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