You visited us 1 times! Enjoying our articles? Unlock Full Access!

Race of Rollers

Two lead sphe...

Question

Two lead spheres have radii in the ratio $1 : 2$ and have the same linear momentum. The ratio of their Kinetic energy is:

1 : 2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 : 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

8 : 1

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

4 : 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $8 : 1$
$K E = \frac{p^{2}}{2 m}$
as linear momentum is same
$\frac{K E_{1}}{K E_{2}} = \frac{m_{2}}{m_{1}} = \frac{r_{2}^{3}}{r_{1}^{3}} = 8 : 1$

Suggest Corrections

Similar questions

^{'} m^{'}

^{'} 4 m^{'}

2 : 1

^{'} m^{'}

^{'} 4 m^{'}

2 : 1

m_{1}

m_{2}

1 : 2

1 : 2 \sqrt{2}

1 : 1

1 : 2 \sqrt{2}

Join BYJU'S Learning Program