Two metal spheres of radii $R_{1}$ and $R_{2}$ are charged to the same potential. The ratio of the charge on the two spheres is:

1

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

\frac{1}{2}

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

R_{1} - R_{2}

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

\frac{R_{1}}{R_{2}}

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

Open in App

Solution

The correct option is D $\frac{R_{1}}{R_{2}}$
We know potential of sphere having charge Q $= \frac{k Q}{R}$
given potentials are equal
$\Rightarrow \frac{k Q_{1}}{R_{1}} = \frac{k Q_{2}}{R_{2}}$
$\Rightarrow \frac{Q_{1}}{Q_{2}} = \frac{R_{1}}{R_{2}}$

Suggest Corrections

Similar questions

Two conducting spheres of radii $r_{1}$ and r₂ are at the same potential. Their charges are in the ratio of

R_{1}

R_{2}

(R_{1} > R_{2})

Q_{1}

Q_{2}

R_{1}

R_{2}

1 / 4 π ε_{o}

R_{1}

R_{2}

R_{1} > R_{2}

Two conducting spheres of radii r1 and r2 are equally charged.The ratio of their potential is?

Join BYJU'S Learning Program