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A particle covers half of its total dist...

A particle covers half of its total distance with speed `v_1` and the rest half distance with speed `v_2`. Its average speed during the complete journey is.

A

1) `frac(V_(1)V_(2))(V_(1)+V_(2))`

B

2) `frac(2V_(1)V_(2))(V_(1)+V_(2))`

C

3) `frac(V_(1)^(2)V_(2)^(2))(V_(1)+V_(2))`

D

4) `frac(V^(1)+V_(2))(2)`

Text Solution

Verified by Experts

The correct Answer is:
B

Velocity `v=(s)/(t)RightarrowS=vt`
The average speed of particle
`v_(av)= (S+S)/((S)/(v_(1))+(s)/(v_(2)RightarrowV_(av)= (2V_(1)V_(2)/(V_(1)+V_(2)`
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