Two particles of equal mass are revolving in circular path of radii $5 m$ and $10 m$ respectively, with the same speed. The ratio of the centripetal force acting on each particle is

1

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

2

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

0.25

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

4

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

Open in App

Solution

The correct option is B $2$
Given, $m_{1} = m_{2} = m$ (say)
$v_{1} = v_{2} = v$ (say)
$r_{1} = 5 m$
$r_{2} = 10 m$
Centripetal force of particle 1 $(F_{1}) = \frac{m_{1} v_{1}^{2}}{r_{1}}$
Centripetal force of particle 2 $(F_{2}) = \frac{m_{2} v_{2}^{2}}{r_{2}}$
Then, $\frac{F_{1}}{F_{2}} = \frac{m_{1}}{m_{2}} \times \frac{r_{2}}{r_{1}} \times \frac{v_{1}^{2}}{v_{2}^{2}}$ ,
as $(m_{1} = m_{2})$ and $(v_{1} = v_{2})$

$\frac{F_{1}}{F_{2}} = \frac{r_{2}}{r_{1}} = \frac{10}{5} = 2$

Hence option B is the correct answer

Suggest Corrections

Similar questions

Q. Two particles of equal mass are revolving in circular path of radii

5 m

and

10 m

respectively, with the same speed. The ratio of the centripetal force acting on each particle is

Two particles of equal masses are revolving in circular paths of radii $r_{1} a n d r_{2}$ respectively with the same speed. The ratio of their centripetal forces is

Q. Two particles of equal mass are revolving with the same linear speed on circular paths of radii

r_{1}

and

r_{2}

. How much will the ratio of the centripetal force acting on them be?

Q. Two particles of equal masses are revolving in circular paths of radii

r_{1}

and

r_{2}

respectively with the same period.The ratio of their centripetal force is

Q. Two particles of equal mass are moving with the same linear speed on circular path of radii

r_{1} a n d r_{2}

. The ratio of centripetal force acting on them will be ___.

Join BYJU'S Learning Program

Two particles of equal mass are revolving in circular path of radii 5 m and 10 m respectively, with the same speed. The ratio of the centripetal force acting on each particle is

The correct option is B 2Given, m1=m2=m (say) v1=v2=v (say) r1=5 m r2=10 m Centripetal force of particle 1 (F1)=m1v21r1 Centripetal force of particle 2 (F2)=m2v22r2 Then, F1F2=m1m2×r2r1×v21v22, as (m1=m2) and (v1=v2) F1F2=r2r1=105=2 Hence option B is the correct answer

Two particles of equal mass are revolving in circular path of radii $5 m$ and $10 m$ respectively, with the same speed. The ratio of the centripetal force acting on each particle is