Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEET 2010
Exam
NEET
Year
2010
Subject
Physics
Chapter
Rotational Motion

NEET 2010 · Physics · Rotational Motion

The solid cylinder and a hollow cylinder, both of the same mass and...

The solid cylinder and a hollow cylinder, both of the same mass and same external diameter are released from the same height at the same time on a inclined plane. Both roll down without slipping. Which one will reach the bottom first?

Options

  1. ABoth together only when angle of inclination of plane is 45∘45^{\circ}
  2. BBoth together
  3. CHollow cylinder
  4. DSolid cylinder

Correct answer

B. Both together

Step-by-step solution

\mathrm{t}=\frac{1}{\sin \theta} \sqrt{\frac{2 \mathrm{~h}}{\mathrm{~g}}\left(1+\frac{\mathrm{k}^2}{\mathrm{R}^2}\right)} If a solid and hollow body of same shape are allowed to roll down on inclined plane then as (k2R2)S<(k2R2)H\left(\frac{\mathrm{k}^2}{\mathrm{R}^2}\right)_{\mathrm{S}} < \left(\frac{\mathrm{k}^2}{\mathrm{R}^2}\right)_{\mathrm{H}}, solid body will reach the bottom first with greater velocity.
Practice Rotational Motion on Quantrex Academy →

More from Rotational Motion

A solid sphere A of radius R and mass M is attached at a point to a smaller solid sphere… NEET 2026The angular speed of a flywheel is increased from 600 rpm to 1200 rpm in 10 s. The number… NEET 2026A thin wire of length ' L ' and linear mass density ' m ' is bent into a circular ring… NEET 2026A thin horizontal disc is rotating about a vertical axis passing through its fixed centre… NEET 2026The Sun rotates around its centre once in 27 days. What will be the period of revolution… NEET 2025A sphere of radius R is cut from a larger solid sphere of radius 2 R as shown in the… NEET 2025The radius of gyration of a solid sphere of mass 5 kg about X Y is 5 m as shown in… NEET 2024A wheel of a bullock cart is rolling on a level road as shown in the figure below. If its… NEET 2024 Full Rotational Motion list All NEET PYQs