If a hollow sphere (mass= $m$ and radius= $r$ ) is filled with non viscous fluid and is allowed to rolled on horizontal plane with velocity $v$ ,then

Kinetic energy of sphere is

\frac{5 m v^{2}}{6}

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Kinetic energy of sphere is

\frac{5 m v^{2}}{3}

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Angular momentum about a fixed point on ground is

\frac{8 m v r}{3}

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none of the above

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Solution

The correct option is C Angular momentum about a fixed point on ground is $\frac{8 m v r}{3}$
$∣ ∣_{0} ∣ ∣ = m | v_{0} \times r_{0} | + | I ω | = m v r + \frac{2}{3} m v r = \frac{5}{3} m v r$
Hence the correct answer is $= \frac{5}{3} m v r$

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If a hollow sphere (mass=m and radius=r) is filled with non viscous fluid and is allowed to rolled on horizontal plane with velocity v,then

The correct option is C Angular momentum about a fixed point on ground is 8mvr3∣∣→L0∣∣=m|v0×r0|+|Iω|=mvr+23mvr=53mvrHence the correct answer is =53mvr

If a hollow sphere (mass= $m$ and radius= $r$ ) is filled with non viscous fluid and is allowed to rolled on horizontal plane with velocity $v$ ,then

The correct option is C Angular momentum about a fixed point on ground is $\frac{8 m v r}{3}$
$∣ ∣_{0} ∣ ∣ = m | v_{0} \times r_{0} | + | I ω | = m v r + \frac{2}{3} m v r = \frac{5}{3} m v r$
Hence the correct answer is $= \frac{5}{3} m v r$