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Question

A particle undergoes uniform circular motion. The velocity and angular velocity of the particle at an instant of time are v=3^i+4^j m/s and ω=x^i+6^j rad/s. The value of x in rad/s is

A
8
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B
6
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C
8
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D
6
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Solution

The correct option is C 8
For a particle under uniform circular motion, v.ω=0vω
v.ω=(3^i+4^j).(x^i+6^j)=0
3x+24=0
x=8 rad/s

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