A charged gold leaf electroscope has its leaves apart by certain amount having enclosed air. When an electroscope is subjected to $x$-rays, then the $x$-ray will ionize the air around the leaves into positive and negative charges. Hence, the charge created in the air and opposite to the gold leaf will move towards it. Thus, the opposite charges neutralize the charge on the leaf, causing the leaf to collapse.
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$(i)$ The sphere $A$ comes to rest after collision.
$(ii)$ The sphere $B$ will move with a speed of $8\ m/s$ after collision.
$(iii)$ The directions of motion $A$ and $B$ after collision are at right angles.
$(iv)$ The speed of $B$ after collision is $4\ m/s$ . The correct option is
