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NEET 2019

Exam: NEET
Year: 2019
Subject: Physics
Chapter: Motion in Two Dimensions

NEET 2019 · Physics · Motion in Two Dimensions

Two particles A and B are moving in uniform circular motion in...

Two particles

A

and

B

are moving in uniform circular motion in concentric circles of radii

{r}_{A}

and

{r}_{B}

with speed

{v}_{A}

and

{v}_{B}

, respectively. Their time period of rotation is the same. The ratio of angular speed of

A

to that of

B

will be,

Options

A ${r}_{A}: {r}_{B}$
B ${v}_{A}: {v}_{B}$
C ${r}_{B}: {r}_{A}$
D $1: 1$

Correct answer

D. $1: 1$

Step-by-step solution

{T}_{A} = {T}_{B}\dfrac{{\omega}_{A}}{{\omega}_{B}} = \dfrac{{T}_{B}}{{T}_{A}}

Same time period

⇒

same angular speed.

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