The amplitude of oscillation of the image is

A

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2 A

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\frac{A}{2}

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image does not oscillate

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Solution

The correct option is D $\frac{A}{2}$
Magnification, $m = \frac{h_{i}}{h_{o}} = \frac{v}{u}$

$u = - 3 f v = d \frac{3}{2} f$ (solved earlier)

$\frac{h_{i}}{A} = \frac{\frac{3}{2} f}{- 3 f}$

$⟹ h_{i} = - \frac{1}{2} A$ OR $m = - \frac{1}{2}$

Image will also execute SHM according to equation, $y = \frac{A}{2} s i n (w t + π)$

So amplitude of oscillation of image is $\frac{A}{2}$

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The amplitude of oscillation of the image is

The correct option is D A2Magnification, m=hiho=vu u=−3fv=d32f (solved earlier)hiA=32f−3f⟹hi=−12A OR m=−12Image will also execute SHM according to equation, y=A2sin(wt+π) So amplitude of oscillation of image is A2