A conducting sphere of radius r has a charge. Then - Vidyadip

MCQ

A conducting sphere of radius $r$ has a charge. Then

A
The charge is uniformly distributed over its surface, if there is an external electric field.
B
Distribution of charge over its surface will be non uniform if no external electric field exist in space.
C
Electric field strength inside the sphere will be equal to zero only when no external electric field exists
✓
Potential at every point of the sphere must be same

✓

Answer

Correct option: D.

Potential at every point of the sphere must be same

d
From the basic properties of conductors we can say that any charge is always uniformly distributed over the surface of the conductor without any external field. The electric field inside the spherical conductor is always zero and the surface of the conductor is an equipotential surface. So the potential at every point of the sphere is same.

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 (1 Marks)" from 2. Electric potential and capacitance→2. Electric potential and capacitance — all question types→Physics STD 12 Science question papers→CBSE Board STD 12 Science question papers→CBSE Board question paper generator→

Similar questions

An electron moves with speed $2 \times {10^5}\,m/s$ along the positive $x$-direction in the presence of a magnetic induction $B = \hat i + 4\hat j - 3\hat k$ (in $Tesla$) The magnitude of the force experienced by the electron in Newton's is (charge on the electron =$1.6 \times {10^{ - 19}}C)$

A number of capacitors each of capacitance $1\,\mu F$ and each one of which get punctured if a potential difference just exceeding $500\,volt$ is applied, are provide, then an arrangement suitable for givin a capacitance of $2\,\mu F$ across which $3000\,volt$ may be applied requires at least

Identify the logic operation carried out.

The current flowing in a coil of self inductance $0.4 \,mH$ is increased by $250 \,mA$ in $0.1\,sec$. The $e.m.f$. induced will be

A plane electromagnetic wave of frequency $20\,MHz$ propagates in free space along $x$-direction. At a particular space and time, $\overrightarrow{ E }=6.6 \hat{ j } V / m$. What is $\overrightarrow{ B }$ at this point?

A student in a town in India, where the price per unit ( $1$ unit $=1 \,kWh$ ) of electricity is $₹ 5.00$, purchases a $1 \,kVA$ $UPS$ (uninterrupted power supply) battery. A day before the exam, $10$ friends arrive to the student's home with their laptops and all connect their laptops to the $UPS$. Assume that each laptop has a constant power requirement of $90 \,W$. Consider the following statements.

$I.$ All the $10$ laptops can be powered by the $UPS$, if connected directly.

$II.$ All the $10$ laptops can be powered, if connected using an extension box with a $3 \,A$ fuse.

$III.$ If all the $10$ friends use the laptop for $5 \,h$, then the cost of the consumed electricity is about $₹ 22.50.$

Select the correct option with the true statements.

If the threshold wavelength for sodium is $5420 Å$, then the work function of sodium is ............ $eV$

A primary cell has an e.m.f. of 1.5 volts, when short-circuited it gives a current of 3 amperes. The internal resistance of the cell is

What is the equivalent resistance of the circuit ............. $\Omega$

A conductor (shown in the figure) carrying constant current $I$ is kept in the $x-y$ plane in a uniform magnetic field $\vec{B}$. If $F$ is the magnitude of the total magnetic force acting on the conductor, then the correct statement$(s)$ is(are) $Image$

$(A)$ If $\vec{B}$ is along $\hat{z}, F \propto(L+R)$

$(B)$ If $\overrightarrow{ B }$ is along $\hat{ x }, F =0$

$(C)$ If $\vec{B}$ is along $\hat{y}, F \propto(L+R)$

$(D)$ If $\overrightarrow{ B }$ is along $\hat{ z }, F =0$