Top 100% Free Circular Motion Mock Test: Key TGT PGT & NEET Physics MCQs with Formulas & Notes

Master circular motion with our 100% free mock test for TGT, PGT, and NEET Physics! Get NCERT-based formulas, bilingual MCQs, concepts, and notes. Practice now!

Free Circular Motion Mock Test: Key TGT PGT
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Hey aspirants! Circular motion is a game-changer for TGT, PGT, and NEET Physics exams, and I’ve seen many students struggle with its concepts like centripetal force and banking of roads. As part of my 100% Free Physics Practice Test Series, I’m excited to share this mock test to help you master this NCERT Class 11 topic (Chapter: Motion in a Plane).

You’ll get a formula table, bilingual MCQs, and tips I’ve crafted from years of teaching. Plus, check out my other free tests to build your Physics skills:

Circular Motion Formulas (NCERT & NEET)

Let’s start with the must-know formulas for circular motion, straight from NCERT Class 11 and NEET syllabus. These are your toolkit for solving TGT, PGT, and NEET questions.

ConceptFormulaDescriptionAlt Text
Centripetal Accelerationa_c = \frac{v^2}{r}Acceleration towards the center, v is speed, r is radius.Centripetal acceleration formula
Centripetal ForceF_c = \frac{m v^2}{r} = m \omega^2 rForce towards center, m is mass, \omega is angular velocity.Centripetal force formula
Angular Velocity\omega = \frac{v}{r} = \frac{\theta}{t}Rate of angular displacement, \theta is angle, t is time.Angular velocity formula
Angular Acceleration\alpha = \frac{a_t}{r} = \frac{d\omega}{dt}Rate of change of angular velocity, a_t is tangential acceleration.Angular acceleration formula
Linear-Angular Relationv = \omega r, a_t = \alpha rLinks linear and angular quantities.Linear-angular relation formula
Banking of Roads (No Friction)\tan \theta = \frac{v^2}{r g}Banking angle \theta for speed v, radius r, g is gravity.Banking of roads formula
Banking with Frictionv_{\text{max}} = \sqrt{r g \frac{\mu + \tan \theta}{1 - \mu \tan \theta}}Max speed with friction coefficient \mu.Banking with friction formula
Conical PendulumT = 2\pi \sqrt{\frac{l \cos \theta}{g}}Time period, l is length, \theta is angle with vertical.Conical pendulum formula
Vertical Circular Motion (Top)T = \frac{m v^2}{r} - m gTension at top, min speed v = \sqrt{g r}.Tension at top formula
Vertical Circular Motion (Bottom)T = \frac{m v^2}{r} + m gTension at bottom, min speed v = \sqrt{5 g r}.Tension at bottom formula
Motion in Magnetic Fieldr = \frac{m v}{q B}Radius for charge q, velocity v, magnetic field B.Magnetic field path formula
Non-Uniform Circular Motiona = \sqrt{a_c^2 + a_t^2}Total acceleration from centripetal (a_c) and tangential (a_t).Non-uniform circular motion formula

Source: NCERT Physics Class 11 (Chapter 4), NEET syllabus, TGT/PGT curricula.
Tip: Memorize these formulas and practice with our Vector Algebra Test to strengthen related skills!

Tutorial on Circular Motion by Anup Sir [Physics Scholar]

Struggling with banking or vertical circular motion? My YouTube tutorial breaks it down with solved examples and exam tips. Watch it below and subscribe for more!

Free Circular Motion Mock Test

Ready to test your skills? This mock test, part of our 100% Free Physics Practice Test Series, features bilingual (English/Hindi) MCQs for TGT, PGT, and NEET aspirants. Try it now and explore more:

1. 
Which quantity remains constant in a uniform circular motion? एकसमान वृतीय गति में कौन सी राशि नियत रहती है

2. 
Which force provides the centripetal force for a car turning on a flat road? कार के सपाट रास्ते पर मुड़ने के लिए अभिकेन्द्री बल कौन सा बल प्रदान करता है?

3. 
A particle in circular motion has a tangential acceleration of 2 m/s². If the radius is 1 m, what is the angular acceleration? वृत्तीय गति में एक कण का स्पर्शीय त्वरण 2 मी/से² है। यदि त्रिज्या 1 मीटर है, तो कोणीय त्वरण क्या है?

4. 
What is the time period of a conical pendulum of length $ l $ making an angle $ \theta $ with the vertical? $ l $ लंबाई के शंक्वाकार लोलक का समयावधि, जो ऊर्ध्वाधर से $ \theta $ कोण बनाता है, क्या है?

5. 
What is the maximum speed a car can have on a banked road of radius $ r $ and banking angle $ \theta $ with friction coefficient $ \mu $? $ r $ त्रिज्या और $ \theta $ झुकाव कोण वाले झुके रास्ते पर $ \mu $ घर्षण गुणांक के साथ कार की अधिकतम चाल क्या है?

 

 

 

6. 
What provides the centripetal force for a planet orbiting the Sun? सूर्य के चारों ओर परिक्रमा करने वाले ग्रह के लिए अभिकेन्द्री बल क्या प्रदान करता है?

7. 
In non-uniform circular motion, the total acceleration is a combination of: गैर-एकसमान वृत्तीय गति में, कुल त्वरण निम्न का संयोजन है:

8. 
What is the tension in the string at the top of a vertical circle for a particle of mass $ m $ moving with speed $ v $? $ m $ द्रव्यमान के कण के लिए ऊर्ध्वाधर वृत्त के शीर्ष पर $ v $ चाल से गति करने पर रस्सी में तनाव क्या है?

9. 
What is the minimum speed at the lowest point of a vertical loop for a particle to complete the loop? ऊर्ध्वाधर लूप के सबसे निचले बिंदु पर कण के लूप पूरा करने के लिए न्यूनतम चाल क्या है?

10. 
Centripetal Force Dependency If the speed of a body in circular motion is doubled, by what factor does the centripetal force change? यदि वृत्तीय गति में एक पिंड की चाल दोगुनी हो जाती है, तो अभिकेन्द्री बल कितने गुना बदलता है?

11. 
A particle of mass $ m $ and charge $ q $ moves with velocity $ v $ perpendicular to a magnetic field $ B $. What is the radius of its circular path?

$ m $ द्रव्यमान और $ q $ आवेश वाला कण $ B $ चुंबकीय क्षेत्र के लंबवत $ v $ वेग से गति करता है। इसके वृत्तीय पथ की त्रिज्या क्या है?

12. 
What is the force that keeps a body moving in a circular path? वह बल जो किसी पिंड को वृत्तीय पथ पर गति में रखता है, क्या है?

13. 
A body of mass 1 kg moves in a circular path of radius 2 m with a speed of 4 m/s. What is the centripetal acceleration? 1 किग्रा द्रव्यमान का एक पिंड 2 मीटर त्रिज्या के वृत्तीय पथ पर 4 मी/से की चाल से गति करता है। अभिकेन्द्री त्वरण क्या है?

14. 
What is the angular velocity of a particle moving in a circle of radius $ r $ with constant speed $ v $? $ r $ त्रिज्या के वृत्त में स्थिर चाल $ v $ से गति कर रहे कण का कोणीय वेग क्या है?

15. 
What is the angle of banking $ \theta $ for a car moving with speed $ v $ on a banked road of radius $ r $ to avoid skidding? $ r $ त्रिज्या के झुके हुए रास्ते पर $ v $ चाल से गति कर रही कार के लिए बिना फिसले झुकाव का कोण $ \theta $ क्या है?

16. 
What happens to a stone tied to a string and rotated in a horizontal circle when the string is cut? जब एक पत्थर को रस्सी से बांधकर क्षैतिज वृत्त में घुमाया जाता है और रस्सी कट जाती है, तो क्या होता है?

17. 
What is the tension in the string at the lowest point for a particle of mass $ m $ moving in a vertical circle of radius $ r $ with speed $ v $? $ m $ द्रव्यमान के कण के लिए $ r $ त्रिज्या के ऊर्ध्वाधर वृत्त में सबसे निचले बिंदु पर $ v $ चाल से गति करने पर रस्सी में तनाव क्या है?

18. 
What is the minimum speed required at the top of a vertical circle of radius $ r $ for a particle to complete the circle? $ r $ त्रिज्या के ऊर्ध्वाधर वृत्त के शीर्ष पर कण के वृत्त पूरा करने के लिए न्यूनतम चाल क्या है?

Important MCQs with Explanations

Here are 5 must-do MCQs (English first, Hindi second, options in English/Hindi) to solidify your circular motion concepts. These are common in TGT, PGT, and NEET exams.

  1. What provides the centripetal force for a car on a flat road?
    सपाट रास्ते पर कार के लिए अभिकेन्द्री बल क्या प्रदान करता है?
    A) Frictional force / घर्षण बल
    B) Gravitational force / गुरुत्वाकर्षण बल
    C) Normal force / अभिलंब बल
    D) Tension force / तनाव बल
    Answer: A) Frictional force / घर्षण बल
    Explanation: Friction between tires and road provides F_c = \frac{m v^2}{r}. Practice similar force questions in our Straight Line Motion Test. (TGT/PGT)
  2. A 2 kg body moves in a 4 m radius circle at 8 m/s. What is the centripetal force?
    2 किग्रा का पिंड 4 मीटर त्रिज्या के वृत्त में 8 मी/से से गति करता है। अभिकेन्द्री बल क्या है?
    A) 32 N / 32 न्यूटन
    B) 64 N / 64 न्यूटन
    C) 16 N / 16 न्यूटन
    D) 128 N / 128 न्यूटन
    Answer: A) 32 N / 32 न्यूटन
    Explanation: F_c = \frac{m v^2}{r} = \frac{2 \cdot (8)^2}{4} = \frac{2 \cdot 64}{4} = 32 , \text{N}. (NEET)
  3. What is the time period of a conical pendulum of length 1 m at 45° with vertical? (g = 10 , \text{m/s}^2)
    1 मीटर लंबाई का शंक्वाकार लोलक ऊर्ध्वाधर से 45° कोण बनाता है। इसका समयावधि क्या है? (g = 10 , \text{मी/से}^2)**
    A) 2\pi \sqrt{0.07} , \text{s} / 2\pi \sqrt{0.07} , \text{से}
    B) 2\pi \sqrt{0.1} , \text{s} / 2\pi \sqrt{0.1} , \text{से}
    C) \pi \sqrt{0.5} , \text{s} / \pi \sqrt{0.5} , \text{से}
    D) 2\pi \sqrt{0.05} , \text{s} / 2\pi \sqrt{0.05} , \text{से}
    Answer: A) 2\pi \sqrt{0.07} , \text{s} / 2\pi \sqrt{0.07} , \text{से}
    Explanation: T = 2\pi \sqrt{\frac{l \cos \theta}{g}} = 2\pi \sqrt{\frac{1 \cdot \cos 45^\circ}{10}} = 2\pi \sqrt{\frac{1 / \sqrt{2}}{10}} \approx 2\pi \sqrt{0.07} , \text{s}. (PGT)
  4. What is the minimum speed at the top of a vertical circle of radius 1 m? (g = 10 , \text{m/s}^2)
    1 मीटर त्रिज्या के ऊर्ध्वाधर वृत्त के शीर्ष पर न्यूनतम चाल क्या है? (g = 10 , \text{मी/से}^2)**
    A) \sqrt{10} , \text{m/s} / \sqrt{10} , \text{मी/से}
    B) \sqrt{5} , \text{m/s} / \sqrt{5} , \text{मी/से}
    C) \sqrt{20} , \text{m/s} / \sqrt{20} , \text{मी/से}
    D) \sqrt{50} , \text{m/s} / \sqrt{50} , \text{मी/से}
    Answer: A) \sqrt{10} , \text{m/s} / \sqrt{10} , \text{मी/से}
    Explanation: v = \sqrt{g r} = \sqrt{10 \cdot 1} = \sqrt{10} , \text{m/s}. Try related questions in our Projectile Motion Test. (NEET)
  5. If a particle’s speed in circular motion is halved, how does the centripetal force change?
    यदि वृत्तीय गति में कण की चाल आधी हो, तो अभिकेन्द्री बल में क्या बदलाव होता है?
    A) Quadruples / चार गुना
    B) Doubles / दोगुना
    C) Halves / आधा
    D) One-fourth / एक-चौथाई
    Answer: D) One-fourth / एक-चौथाई
    Explanation: F_c = \frac{m v^2}{r}. If v becomes v/2, F_c' = \frac{m (v/2)^2}{r} = \frac{F_c}{4}. (TGT/NEET)

FAQs: One-Liner Conceptual Questions on Circular Motion

These quick answers tackle common doubts to help you and boost SEO.

  1. What is centripetal force?
    A real force (e.g., tension, gravity) towards the center, F_c = \frac{m v^2}{r}.
  2. Is centrifugal force real?
    No, it’s a pseudo force felt in non-inertial frames.
  3. Why are roads banked?
    To provide centripetal force via normal force, reducing friction.
  4. What’s the minimum speed at the bottom of a vertical circle?
    v = \sqrt{5 g r}, ensuring loop completion.
  5. What happens if a string breaks in circular motion?
    The object moves tangentially due to inertia.
  6. How is angular acceleration related to tangential acceleration?
    \alpha = \frac{a_t}{r}, where a_t is tangential acceleration.
  7. What’s the role of friction in banked roads?
    Increases max speed: v_{\text{max}} = \sqrt{r g \frac{\mu + \tan \theta}{1 - \mu \tan \theta}}.
  8. What is a conical pendulum?
    A pendulum with a bob moving in a horizontal circle, period T = 2\pi \sqrt{\frac{l \cos \theta}{g}}.
  9. Why is tension minimum at the top of a vertical circle?
    Gravity aids centripetal force: T = \frac{m v^2}{r} - m g.
  10. What’s the radius of a charged particle’s path in a magnetic field?
    r = \frac{m v}{q B}, based on mass, velocity, charge, and field.

Conclusion

Aspirants, you’re one step closer to acing TGT, PGT, and NEET Physics with our 100% Free Physics Practice Test Series! This circular motion mock test, paired with my YouTube tutorial, will sharpen your skills. Keep practicing with our other free tests:

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Amit Patel
Amit Patel

Hello!  I am Amit Patel From Uttar Pradesh. I have done my  Masters in Physics (2018) & B.Ed. (Education), Now I am working with Physics Scholar (By Anup Sir) as a Technical Team Member & content writer specially on Educational Carrier Counselling for Teaching Exams. I am a lover of Physics so i also explore to write articles on Science & Technology.

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  3. Wow,Bahut Bahut sukriya Anup sir ànd team members of physics scholar aise test ke liye ,mja aa gya test dekar