CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

STATEMENT-1
Two cylinders, one hollow (metal) and the other solid (wood) with the same mass and identical dimensions are simultaneously allowed to roll without slipping down an inclined plane from the same height. The hollow cylinder will reach the bottom of the inclined plane first.
STATEMENT-2
By the principle of conservation of energy, the total kinetic energies of both the cylinders are identical when they reach the bottom of the incline.


A
STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1
loader
B
STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1
loader
C
STATEMENT -1 is True, STATEMENT-2 is False
loader
D
STATEMENT -1 is False, STATEMENT-2 is True
loader

Solution

The correct option is D STATEMENT -1 is False, STATEMENT-2 is True
Time of descent for hollow cylinder is:
$$t_{hollow} = \sqrt{\dfrac{4l}{g \sin \theta}}$$
Time of descent for solid cylinder is:
$$t_{solid} = \sqrt{\dfrac{3l}{g \sin \theta}}$$
Thus, the solid cylinder will take more time to reach the bottom. Statement-1 is false.
Since they are released from same height and have same mass, their  total KE at the bottom will be same.
Hence, option D.

Physics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image