NEETPhysics

Circular Motion

8 NEET Physics previous year questions on Circular Motion — options free on every question; 1 include the answer & explanation free, the rest unlock with PYQ Pass.

Q1 FREE PREVIEW
PYQ

Let \({\omega }_{1},{\omega }_{2}\) and \({\omega }_{3}\) be the angular speed of the second hand, minute hand and hour hand of a smoothly running analog clock, respectively. If \({x}_{1},{x}_{2}\) and \({x}_{3}\) are their respective angular distances in 1 minute then the factor which remains constant\((k)\) is :

[Re-NEET 2024]

a

\(\frac{{\omega }_{1}}{{x}_{1}}=\frac{{\omega }_{2}}{{x}_{2}}=\frac{{\omega }_{3}}{{x}_{3}}=\mathrm{k}\)

b

\({\omega }_{1}{x}_{1}={\omega }_{2}{x}_{2}={\omega }_{3}{x}_{3}=\mathrm{k}\)

c

\({\omega }_{1}{x}_{1}^{2}={\omega }_{2}{x}_{2}^{2}={\omega }_{3}{x}_{3}^{2}=\mathrm{k}\)

d

\({\omega }_{1}^{2}{x}_{1}={\omega }_{2}^{2}{x}_{2}={\omega }_{3}^{2}{x}_{3}=\mathrm{k}\)

✓ Correct answer: a)

\(\frac{{\omega }_{1}}{{x}_{1}}=\frac{{\omega }_{2}}{{x}_{2}}=\frac{{\omega }_{3}}{{x}_{3}}=\mathrm{k}\)

Explanation

\({\omega }_{1}=\frac{2\pi }{60};{x}_{1}=\frac{2\pi }{60}\times 60=2\pi\)

\({\omega }_{2}=\frac{2\pi }{3600};{x}_{2}=\frac{2\pi }{3600}\times 60=\frac{2\pi }{60}\)

\({\omega }_{3}=\frac{2\pi }{3600\times 12};{x}_{3}=\frac{2\pi }{3600\times 12}\times 60=\frac{7\pi }{720}\)

\(\frac{{\omega }_{1}}{{x}_{1}}=\frac{{\omega }_{2}}{{x}_{2}}=\frac{{\omega }_{3}}{{x}_{3}}=\frac{1}{60}=k\)

Q2
PYQ

Let \({\omega }_{1},{\omega }_{2}\) and \({\omega }_{3}\) be the angular speed of the second hand, minute hand and hour hand of a smoothly running analog clock, respectively. If \({x}_{1},{x}_{2}\) and \({x}_{3}\) are their respective angular distances in 1 minute then the factor which remains constant\((k)\) is :

a

\(\frac{{\omega }_{1}}{{x}_{1}}=\frac{{\omega }_{2}}{{x}_{2}}=\frac{{\omega }_{3}}{{x}_{3}}=\mathrm{k}\)

b

\({\omega }_{1}{x}_{1}={\omega }_{2}{x}_{2}={\omega }_{3}{x}_{3}=\mathrm{k}\)

c

\({\omega }_{1}{x}_{1}^{2}={\omega }_{2}{x}_{2}^{2}={\omega }_{3}{x}_{3}^{2}=\mathrm{k}\)

d

\({\omega }_{1}^{2}{x}_{1}={\omega }_{2}^{2}{x}_{2}={\omega }_{3}^{2}{x}_{3}=\mathrm{k}\)

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Q3
PYQ

A particle moving with uniform speed in a circular path maintains :

a

constant velocity.

b

constant acceleration.

c

constant velocity but varying acceleration.

d

varying velocity and varying acceleration.

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Q4
PYQ

A bob is whirled in a horizontal plane by means of a string with an initial speed of \(\omega rpm\). The tension in the string is T. If speed becomes \(2\omega\) while keeping the same radius, the tension in the string becomes:

a

T

b

4T

c

\(\frac{T}{4}\)

d

\(\sqrt{2}T\)

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Q5
PYQ

Let \({\omega }_{1},{\omega }_{2}\) and \({\omega }_{3}\) be the angular speed of the second hand, minute hand and hour hand of a smoothly running analog clock, respectively. If \({x}_{1},{x}_{2}\) and \({x}_{3}\) are their respective angular distances in 1 minute then the factor which remains constant\((k)\) is :

[Re-NEET 2024]

a

\(\frac{{\omega }_{1}}{{x}_{1}}=\frac{{\omega }_{2}}{{x}_{2}}=\frac{{\omega }_{3}}{{x}_{3}}=\mathrm{k}\)

b

\({\omega }_{1}{x}_{1}={\omega }_{2}{x}_{2}={\omega }_{3}{x}_{3}=\mathrm{k}\)

c

\({\omega }_{1}{x}_{1}^{2}={\omega }_{2}{x}_{2}^{2}={\omega }_{3}{x}_{3}^{2}=\mathrm{k}\)

d

\({\omega }_{1}^{2}{x}_{1}={\omega }_{2}^{2}{x}_{2}={\omega }_{3}^{2}{x}_{3}=\mathrm{k}\)

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Q6
PYQ

Let \({\omega }_{1},{\omega }_{2}\) and \({\omega }_{3}\) be the angular speed of the second hand, minute hand and hour hand of a smoothly running analog clock, respectively. If \({x}_{1},{x}_{2}\) and \({x}_{3}\) are their respective angular distances in 1 minute then the factor which remains constant\((k)\) is :

[Re-NEET 2024]

a

\(\frac{{\omega }_{1}}{{x}_{1}}=\frac{{\omega }_{2}}{{x}_{2}}=\frac{{\omega }_{3}}{{x}_{3}}=\mathrm{k}\)

b

\({\omega }_{1}{x}_{1}={\omega }_{2}{x}_{2}={\omega }_{3}{x}_{3}=\mathrm{k}\)

c

\({\omega }_{1}{x}_{1}^{2}={\omega }_{2}{x}_{2}^{2}={\omega }_{3}{x}_{3}^{2}=\mathrm{k}\)

d

\({\omega }_{1}^{2}{x}_{1}={\omega }_{2}^{2}{x}_{2}={\omega }_{3}^{2}{x}_{3}=\mathrm{k}\)

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Q7
PYQ

Let \({\omega }_{1},{\omega }_{2}\) and \({\omega }_{3}\) be the angular speed of the second hand, minute hand and hour hand of a smoothly running analog clock, respectively. If \({x}_{1},{x}_{2}\) and \({x}_{3}\) are their respective angular distances in 1 minute then the factor which remains constant\((k)\) is :

[Re-NEET 2024]

a

\(\frac{{\omega }_{1}}{{x}_{1}}=\frac{{\omega }_{2}}{{x}_{2}}=\frac{{\omega }_{3}}{{x}_{3}}=\mathrm{k}\)

b

\({\omega }_{1}{x}_{1}={\omega }_{2}{x}_{2}={\omega }_{3}{x}_{3}=\mathrm{k}\)

c

\({\omega }_{1}{x}_{1}^{2}={\omega }_{2}{x}_{2}^{2}={\omega }_{3}{x}_{3}^{2}=\mathrm{k}\)

d

\({\omega }_{1}^{2}{x}_{1}={\omega }_{2}^{2}{x}_{2}={\omega }_{3}^{2}{x}_{3}=\mathrm{k}\)

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Q8
PYQ

A vehicle of mass \(200 kg\) is moving along a levelled curved road of radius \(70 m\) with angular velocity of \(0.2 rad / s\). The centripetal force acting on the vehicle is :

a

\(560 N\)

b

\(2800 N\)

c

\(14 N\)

d

\(2240 N\)

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