The speed of a homogeneous solid sphere after rolling down an inclined plane of vertical height $h$, from rest without sliding, is

  • [AIPMT 1992]
  • A

    $\sqrt {\frac{{10}}{7}gh} $

  • B

    $\sqrt {gh} $

  • C

     $\sqrt {\frac{6}{5}gh} $

  • D

    $\sqrt {\frac{4}{3}gh} $

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If a solid sphere of mass $1\, kg$ and radius $0.1\, m$ rolls without slipping at a uniform velocity of $1\, m/s$ along a straight line on a horizontal floor, the kinetic energy is

  • [AIIMS 2007]

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  • [NEET 2018]

Two uniform similar discs roll down two inclined planes of length $S$ and $2S$ respectively as shown is the fig. The velocities of two discs at the points $A$ and $B$ of the inclined planes are related as