You visited us 6 times! Enjoying our articles? Unlock Full Access!

Excess Pressure in Bubbles

Consider two ...

Question

Consider two concentric spherical metal shells of radii $r_{1}$ and $r_{2} (r_{2} > r_{1})$ . If the outer shell has a charge q and the inner one is grounded, the charge on the inner shell is :

\frac{- r_{2}}{r_{1}} q

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

Zero

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

\frac{- r_{1}}{r_{2}} q

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

- q

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

Open in App

Solution

The correct option is C $\frac{- r_{1}}{r_{2}} q$
Let the charge on inner shell be $Q$ .
Since it is grounded, the potential of the shell must be zero due to both charge on inner shell and that on outer.
Hence $\frac{k Q}{r_{1}} + \frac{k q}{r_{2}} = 0$
$⟹ Q = - \frac{r_{1}}{r_{2}} q$

Suggest Corrections

Similar questions

r_{1}

r_{2}

r_{1}

r_{1}

r_{2} (r_{2} > r_{1})

q

r_{1}

r_{2}

- q

R_{1}

R_{2}

Q

Join BYJU'S Learning Program