The displacement time graph for two particles A and B are straight lines inclined at angles of 30o and 600 with the time axis. The ratio of velocities of VA:VB is

1:2

1:√3

√3:1

1:3

A

1:2

B

1:√3

C

√3:1

D

1:3

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Solution

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As velocity v=dxdt=slope of x−t graph.

so VA:VB=slopeA:slopeB=tan300:tan600=1√3:√3=1:3

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