A conducting wire connects two charged conducting spheres such th… - Vidyadip

MCQ

A conducting wire connects two charged conducting spheres such that they attain equilibrium with respect to each other. The distance of separation between the two spheres is very large as compared to either of their radii.
The ratio of the magnitudes of the electric fields at the surfaces of the two spheres is

A
$\frac{r_1}{r_2}$
B
$\frac{r_2}{r_1}$
C
$\frac{r_2^2}{r_1^2}$
D
$\frac{r_1^2}{r_2^2}$

✓

Answer

(b) In the state of equilibrium,
The potential on the surface of bigger sphere the potential at the surface of the smaller sphere.
$\begin{aligned} & \frac{k q_1}{r_1}=\frac{k q_2}{r_2} \Rightarrow \frac{q_1}{q_2}=\frac{r_1}{r_2} \\ \therefore & \frac{ E _1}{ E _2}=\frac{q_1}{q_2} \frac{r_2^2}{r_1^2}=\frac{r_1}{r_2} \cdot \frac{r_2^2}{r_1^2}=\frac{r_2}{r_1}\end{aligned}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q [1M]" from MODEL PAPER 2025→MODEL PAPER 2025 — all question types→Physics STD 12 Science question papers→Bihar Board STD 12 Science question papers→Bihar Board question paper generator→

Similar questions

The electromagnetic waves travel with a velocity

(a) Equal to velocity of sound	(b) Equal to velocity of light
(c) Less than velocity of light	(d) None of these

A magnetic field can be produced by:

A moving charge.
A changing electric field.
Neither of them.
Both of them.

The ratio activity of an element becomes 1/64^th of its original value in 60 sec. Then the half life period is

(a) 5 sec

(b) 10 sec

(c) 20 sec

(d) 30 sec

If a positively charged sphere is taken close to another uncharged sphere then which of the following statements is true?

The wavelength of most energetic X-rays emitted when a metal target is bombarded by 40KeV electrons, is approximately (h = 6.63 )

(a) 300 Å

(b) 10 Å

(c) 4 Å

(d) 0.31 Å

A proton and an alpha particle both enter a region of uniform magnetic field B, moving at right angles to field B. If the radius of circular orbits for both the particles is equal and the kinetic energy acquired by proton is 1 MeV the energy acquired by the alpha particle will be:

The breakdown in a reverse biased p-n junction diode is more likely to occur due to:

Which one of the following is the weakest kind of bonding in solids

(a) Ionic

(b) Metallic

(c) Vander Waals

(d) Covalent

A rod of legth l rotates with a uniform angular velocity $\omega$ about its perpendicular bisector. A uniform magnetic field B exists parallel to the axis of rotation. The potential difference between the two ends of the rod is:

$\text{zero}$
$\frac{1}{2}\text{Bl}\omega^2$
$\text{Bl}\omega ^2$
$2\text{B}\text{l}\omega^2$

Bohr’s atom model is the modification of Rutherford’s atom model by the application of: