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Q.

Graph of ( 1/v) vs. x for a particle under motion is as shown, where v is velocity and x is position. The time taken by particle to move from x = 4 m to x = 12 m is

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a

16/3 sec

b

10 sec

c

8 sec

d

12  sec

answer is B.

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Detailed Solution

First find relation between v and x1v=3x16−14⇒dtdx=3x16−14⇒∫t1t2 dt=∫412 3x16−14dx Solve to get t2−t1=10s
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