Q. A stone is tied to a string and whirled in a horizontal circle. If the radius of the circle is doubled, what happens to the centripetal force required to maintain the stone's circular motion at the same speed?
A.
It doubles
B.
It remains the same
C.
It halves
D.
It quadruples
Solution
Centripetal force (F_c) = mv²/r. If r is doubled, F_c is halved for constant speed.
Q. A stone is tied to a string and whirled in a vertical circle of radius 1 m. What is the minimum speed at the top of the circle to keep the stone in circular motion?
A.
1 m/s
B.
2 m/s
C.
3 m/s
D.
4 m/s
Solution
At the top, centripetal force = weight. mv²/r = mg. v² = rg. v = √(1*9.8) ≈ 3.13 m/s.
Q. If a stone is tied to a string and whirled in a horizontal circle of radius 2 m at a speed of 4 m/s, what is the tension in the string if the mass of the stone is 1 kg?
A.
2 N
B.
4 N
C.
8 N
D.
10 N
Solution
Centripetal force = m(v²/r) = 1(4²/2) = 8 N. Tension in the string = 8 N.
Circular motion is a crucial topic in physics that students must master for their exams. Understanding the principles of circular motion not only helps in grasping fundamental concepts but also enhances problem-solving skills. Practicing MCQs and objective questions on circular motion is essential for scoring better in school and competitive exams. By tackling these practice questions, students can identify important questions and solidify their exam preparation.
What You Will Practise Here
Definition and types of circular motion
Key formulas related to angular velocity and acceleration
Concept of centripetal force and its applications
Understanding uniform vs. non-uniform circular motion
Diagrams illustrating circular motion concepts
Real-life applications of circular motion in various fields
Important Circular Motion MCQ questions with answers
Exam Relevance
Circular motion is frequently featured in CBSE, State Boards, NEET, and JEE exams. Students can expect questions that test their understanding of concepts, calculations involving formulas, and application-based scenarios. Common question patterns include numerical problems, conceptual explanations, and diagram-based questions, making it essential to be well-prepared in this area.
Common Mistakes Students Make
Confusing linear and angular quantities
Misunderstanding the direction of centripetal force
Neglecting the role of mass in circular motion problems
Overlooking the difference between uniform and non-uniform circular motion
FAQs
Question: What is the difference between uniform and non-uniform circular motion? Answer: Uniform circular motion occurs when an object moves in a circle at a constant speed, while non-uniform circular motion involves changing speed.
Question: How do I calculate centripetal force? Answer: Centripetal force can be calculated using the formula F = mv²/r, where m is mass, v is velocity, and r is the radius of the circular path.
Start solving practice MCQs on circular motion today to test your understanding and boost your confidence for the exams. Remember, consistent practice is the key to success!
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