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STD 11 - 6. system of particles and rotational motion — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 11 - 6. system of particles and rotational motion4 Marks
MCQ
A hollow sphere and a solid sphere having same mass and same radius are rolled down a rough inclined plane-
  • A
    The hollow sphere reaches the bottom first
  • ✓
    The solid sphere reaches the bottom with greater speed
  • C
    The solid sphere reaches the bottom with greater kinetic energy
  • D
    The two spheres will reach the bottom with same linear momentum
✓

Answer

Correct option: B.
The solid sphere reaches the bottom with greater speed
b
$v=\sqrt{\frac{2 g h}{1+\frac{k^{2}}{r^{2}}}}$ solid sphere reaches with

larger speed since potential energy converted into kinetic energy so kinetic energy of both at bottom will be same since solid sphere has larger velocity so its momentum will be larger.

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