A particle moves along a circular path of radius r with constant speed v. Its acceleration is: MCQ with Answer and Explanation

A particle moves along a circular path of radius r with constant speed v. Its acceleration is:
A. v²/r directed towards center
B. Zero
C. v/r directed tangentially
D. v²/r directed away from center
Answer: Option A
Solution (By JKExamLibrary)
In uniform circular motion, speed is constant but velocity direction changes continuously, producing centripetal acceleration. Magnitude a = v²/r, direction always towards the center of the circle. This acceleration changes velocity direction without altering speed. Tangential acceleration would change speed, but here speed is constant. Formula derivation: From vector analysis of velocity change over small time interval. Exam tip: Remember 'centripetal' means 'center-seeking'; this concept is fundamental for rotational dynamics questions in competitive exams.

This question belongs to: Science Physics

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Correct Answer: Option A


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This question belongs to: Science Physics
Question #2 Report Error
The focal length of a concave mirror is 20 cm. An object is placed at 30 cm from the mirror. The image distance is:
A. 20 cm
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Correct Answer: Option B


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Mirror formula: 1/f = 1/u + 1/v. Sign convention: f negative for concave mirror? Wait, standard Cartesian: f = -20 cm (concave), u = -30 cm (object real). Thus 1/(-20) = 1/(-30) + 1/v ⇒ -1/20 = -1/30 + 1/v ⇒ 1/v = -1/20 + 1/30 = (-3+2)/60 = -1/60 ⇒ v = -60 cm. Magnitude 60 cm, negative sign indicates real image in front of mirror. Many exams use magnitude-only options; here 60 cm is correct. Memory tip: 'Concave mirror: object beyond C (2f) ⇒ image between F and C, real, inverted'. This numerical tests mirror formula application with sign conventions, crucial for optics in competitive exams.

This question belongs to: Science Physics
Question #3 Report Error
The relation V = IR is applicable to
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This question belongs to: Science Physics