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Standard XII

Physics

Uniform Circular Motion

A particle mo...

Question

A particle moves in a straight line so that its velocity at any point is given by , where are constants. The acceleration is

Zero

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Uniform

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Non-uniform

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Indeterminate

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Solution

The correct option is B Uniform
$v^{2} = a + b x \Rightarrow 2 v \frac{d v}{d t} = b \frac{d x}{d t} \Rightarrow 2 v \frac{d v}{d t} = b v \Rightarrow \frac{d v}{d t} = \frac{b}{2}$

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A particle moves in a straight line so that its velocity at any point is given by , where are constants. The acceleration is

The correct option is B Uniformv2=a+bx⇒2vdvdt=bdxdt⇒2vdvdt=bv⇒dvdt=b2

The correct option is B Uniform
$v^{2} = a + b x \Rightarrow 2 v \frac{d v}{d t} = b \frac{d x}{d t} \Rightarrow 2 v \frac{d v}{d t} = b v \Rightarrow \frac{d v}{d t} = \frac{b}{2}$