JEE MainPhysicsRotational MotionMCQ+4 / −1
A solid sphere, a hollow sphere and a ring are released from top of an inclined plane (frictionless) so that they slide down the plane. Then maximum acceleration down the plane is for (no rolling)
- Asolid sphere
- Bhollow sphere
- Cring
- Dall same
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Correct answer: D
-
Identify the physical situation
The bodies are released on an inclined plane which is stated to be frictionless.
Also, it is explicitly mentioned: no rolling.
Therefore, the objects will simply slide down the incline.
-
For motion on a frictionless incline
The forces on any body are:
- Weight:
- Normal reaction:
Resolve weight along the incline:
Since there is no friction, this is the only force causing motion along the plane.
-
Apply Newton's second law
So,
-
Dependence on shape?
The acceleration does not depend on:
- mass
- radius
- moment of inertia
- shape of the object
Since there is no rolling, rotational inertia is irrelevant.
-
Compare the given bodies
- Solid sphere:
- Hollow sphere:
- Ring:
Hence, all have the same acceleration.
-
Evaluate options
- A: solid sphere — incorrect
- B: hollow sphere — incorrect
- C: ring — incorrect
- D: all same — correct
Final Answer
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