Two particle A and B are located in x-y plane at points (0, 0) and (0, 4 m). They simultaneously start moving with velocities. →VA=2^jm/s and →VB=2^im/s. Select the correct alternative(s).
A
The distance between them is constant
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B
The distance between them first decreases and then increases
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C
The shortest distance between them is 2√2m
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D
Time after which they are at minimum distance is 1s
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Solution
The correct options are B The distance between them first decreases and then increases C The shortest distance between them is 2√2m D Time after which they are at minimum distance is 1s −−→VAB=−→VA−−→VB=2(→i−→j)⇒|−−→VAB|=2√2. Assuming B to be at rest, A will move with velocity −−→VAB in the direction shown in figure. The distance between them will first decrease from A to C and then increase beyond C. Minimum distance between them is BC which is equal to 4√2 or 2√2 and the time after which they are at closest distance is : t=AC−−→VAB=2√22√2=1second.