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Question

Two point masses m1 and m2 move with uniform velocity ν1 and ν2 respectively. Their initial positions are r1 and r2 respectively. Which is correct for the collision of two point masses ?
  1. r1r2|r2r1|=ν2ν1|ν2ν1|
  2. r2r1|r2r1|=ν2ν1|ν2ν1|
  3. r2r1|r2+r1|=ν2ν1|ν2+ν1|
  4. r2+r1|r2+r1|=ν2ν1|ν2+ν1|

A
r1r2|r2r1|=ν2ν1|ν2ν1|
B
r2r1|r2r1|=ν2ν1|ν2ν1|
C
r2r1|r2+r1|=ν2ν1|ν2+ν1|
D
r2+r1|r2+r1|=ν2ν1|ν2+ν1|
Solution
Verified by Toppr

Velocity of B w.r.t A:
VBA=V2V1
Position of B w.r.t A:
rBA=r2r1
Particle B will collide with particle A, if the velocity of B w.r.t A is directed towards A.
Then, V2V1V2V1=r2r1r2r1
Hence option (B) is correct

1019605_281154_ans_0ebdb73eeac647bd8616ea07c656bc8e.png

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