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A person travelling on a straight line m...

A person travelling on a straight line moves with a uniform velocity `v_1` for a distance x and with a uniform velocity `v_2` for the next equal distance. The average velocity v is given by

A

` V= ( v_1+v_2) /( 2) `

B

` v = sqrt (v_1v_2) `

C

` (2)/(v) =(1)/(v_1) +(1)/(v_2) `

D

` (1)/(v) =(1)/(v_1) +(1)/(v_2) `

Text Solution

Verified by Experts

The correct Answer is:
C

Average velocity =`(x+x)/(x//v_1+x//v_2) rArr v_(av) =(2)/((1)/(v_1)+((1)/(v_2)))rArr (2)/(v_(av) =(1)/(v_1) +(1)/(v_2) `
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