A plane mirror is placed along the \( y \)-axis such that \( x \)-axis is normal to the plane of...
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A plane mirror is placed along the \( y \)-axis such that \( x \)-axis is normal to the plane of the mirror. The reflecting surface of the mirror is towards negative \( x \)-axis. The mirror moves in positive \( x \)-direction with uniform speed of \( 5 \mathrm{~m} / \mathrm{s} \) and a point object \( P \) is moving with constant speed \( 3 \mathrm{~m} / \mathrm{s} \) in negative \( x \)-direction. The speed of image with respect to mirror is
(a) \( 8 \mathrm{~m} / \mathrm{s} \)
(b) \( 2 \mathrm{~m} / \mathrm{s} \)
(c) \( 4 \mathrm{~m} / \mathrm{s} \)
(d) \( 16 \mathrm{~m} / \mathrm{s} \)
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