Question 1 :
Two charged conducting spheres of radii $R _ { 1 }$ and $R _ { 2 }$ . separated by a large distance. are connected by a long wire. The ratio of the charges on them is

Question 3 :
<span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small"></span></span><p>The work done (in Joule) in carrying a charge of 100 coulomb between two points having a potential difference of 10 volt is:</p>

Question 6 :
Two positive point charges are of $12C$ and $8C$ are $10cm$ apart from each other. The work done in bringing them $4cm$ closer is

Question 7 :
If a positive charge is shifted from a low potential region to a high potential region, the electric potential energy:

Question 8 :
If the radius of curvature of a copper wire carrying current is doubled, the drift velocity of the electrons will

Question 9 :
The quantity $X = \dfrac {\epsilon_{0}LV}{t} : \epsilon_{0}$ is the permittivity of free space, $L$ is length, $V$ is potential difference and $t$ is time. The dimensions of $X$ are same as that of

Question 10 :
Electrons in a conductor have no motion in the absence of a potential difference across it.&#160;&#160;

Question 11 :
Assertion: STATEMENT-1 : The current density $\vec{J}$ at any point in ohmic resistor is in direction of electric field $\vec{E}$ at that point. Reason: STATEMENT-2 : A point charge when released from rest in a region having only electrostatic field always moves along electric lines of force.

Question 12 :
The current density across a cylindrical conductor of radius $R$ varies according to the equation $J = J_0\left(1-\displaystyle\frac{r}{R}\right)$, where $r$ is the distance from the axis. Thus the current density is a maximum $J_0$ at the axis $r=0$ and decreases linearly to zero at the surface $r=R$. Calculate the current in terms of $J_0$ and the conductors cross sectional area is $A = \pi R^2$.<br>

Question 13 :
Heat flows radially outward through a spherical shell of outside radius $R_{2}$ and inner radius $R_{1}$. The temperature of inner surface is $\Theta _{1}$ and that outer is $\Theta _{2}$. At what radial distance fro m center of shell the temperature is just half way between $\Theta _{1}$ and $\Theta _{2}$

Question 14 :
A charge of $10$ C is brought from infinity to a point near a charged body and in this process, $200$ J of work is done. &#160;Calculate the electric potential at that point near the charged body

Question 15 :
<span>How much work would be required to move a proton from the negative to the positive plate?</span>

Question 16 :
A charge is moved from a point A to point B. The work done to move unit charge during this process is called.<br>

Question 17 :
A point-charge of $6.0\times 10^{-8}$ C is situated at the coordinate origin. How much work will be done in taking an electron from the point $x=3$m to $x=6$m?

Question 18 :
The displacement of charge $q$ in the electric field $\vec E = e_1\hat i + e_2 \hat j + e_3 \hat j$ is$\vec r = a \hat i + b \hat j$. The work done is

Question 20 :
Given that $E = ((3x^2<br><br> + y) \hat i + x \hat y) kV/m$, find the work done in moving a $- 2 \mu C$ charge from $(0, 5, 0)$ to $(2, -1 , 0)$ by taking the path :<br>$y=5-3x$

Question 21 :
A 1-meter length 22 gauge of copper wire has a current of 1 mA passing through it $1.7\times10^8m$<span class="MathJax"><span class="MJX_Assistive_MathML">=1.7108m</span></span> in this wire.

Question 23 :
Two particles X and Y having equal charges, after being accelerated through the same potential difference , enter a region of uniform magnetic field and describe circular paths of radii $R_1$ and$R_2$ respectively. The ratio of the mass of X to the Y is

Question 24 :
Two points P and Q are maintained at potentials of of $10V$ and $-4V$ respectively. The work done in moving $100$ electrons from P to Q is proportional to

Question 25 :
A potential difference of $2.5$V is applied across the faces of a germanium crystal plate. The face area of the crystal is $1$ $cm^2$ and its thickness is $1.0$ mm. The free electron concentration in germanium is $2\times 10^{19} m^{-3}$ and the electron and holes mobilities are $0.33 m^2/V$ and $0.17m^2/V$ respectively. The current across the plate will be?

Question 26 :
The capacitance of an isolated conducting sphere of radius $R$ is proportional to

Question 27 :
For a cylindrical geometry like a coaxial cable, the capacitance is usually stated as a capacitance per _____.

Question 28 :
When a positive <img style='object-fit:contain' width=8 height=20 src="https://storage.googleapis.com/teachmint/question_assets/NEET/5ea1838a1ac76a0b860fd4b7"> charge is taken from lower potential to a higher potential point, then its potential energy will

Question 29 :
The capacitance of an air filled parallel plate capacitor is $10\times {10}^{-12}F$. The separation between the plates is doubled and the space between the plates is then filled with wax giving the capacitance a new value of $40\times {10}^{-12}F$. The dielectric constant of wax is:

Question 30 :
<span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small"></span></span><p class="wysiwyg-text-align-left">The capacity of a parallel plate condenser consisting of two plates each of $10\ cm^2$, separated by a distance of $2\ mm$ is:</p><p class="wysiwyg-text-align-left">(Take air as the medium between the plates)</p>

Question 31 :
What is the&#160;capacitance of a cylindrical capacitor&#160;of length $L$ and inner and outer radius $a$ and $b$ respectively (in farad)?

Question 32 :
A $110V. 60W$ lamp is run from a $220V$ AC mains using a capacitor in series with the lamp, instead of a resistor then the voltage across the capacitor is about:

Question 33 :
Which of the following is true about field between parallel charged plates?

Question 34 :
<p class="wysiwyg-text-align-left">Capacity of a parallel plate condenser is $10 \mu F$ when the distance between the plates is 8 cm. If the distance between the plates is reduced to 4 cm, its capacity will be :<br/></p>

Question 35 :
Calculate the area of the plates of a one farad parallel plate capacitor if separation between plates is 1 mm and plates are in vacuum :<br/>

Question 36 :
Eight mercury drops of equal radius and equal charge combine to form a big drop The capacitance of big drop in comparison the each small drop will be :

Question 37 :
The magnitude of the electric field $E$ in the annular region of a charged cylindrical capacitor:<br/>

Question 38 :
A parallel plate capacitor has plates of unequal area. The larger plate is connected to the positive terminal of the battery and the smaller plate to its negative terminal. Let $Q_+$ and $Q_-$ be the charges appearing on the positive and negative plates respectively.

Question 39 :
Two identical metal plates are given positive charge ${Q}_{1}$ and ${Q}_{2}$ $\left( &lt;{ Q }_{ 1 } \right)$ respectively. If they are now brought close together to form a parallel plate capacitor with capacitance $C$, the potential difference between them is

Question 40 :
A capacitor is charged and battery is disconnected .Now the distance between the plates is increased slightly

Question 41 :
In 1909, Robert Millikan was the first to find the charge of an electron&#10; in his now-famous oil-drop experiment. In that experiment, tiny oil &#10;drops were sprayed into a uniform electric field between a horizontal &#10;pair of oppositely charged plates.The drops were observed with a &#10;magnifying eyepiece, and the electric field was adjusted so that the &#10;upward force on some negatively charged oil drops was just sufficient to&#10; balance the downward force of gravity. That is, when suspended, upward &#10;force qE&#160;just equaled mg. Millikan accurately measured the charges on &#10;many oil drops and found the values to be whole number multiples of &#10;$1.6 &#160;\times 10^{-19} C$ the charge of the electron. For this, he won &#10;the Nobel prize. Extra electrons on this particular oil drop (given the presently known charge of the electron) are :<br/>

Question 42 :
The capacitance of two concentric spherical shells of radii $R_{1} \,&#160;and \,&#160;&#160;R_{2} (R_{2} &gt; R_{1})$ is:

Question 43 :
The capacity of a spherical condenser is $1\mu F$. If the spacing between the two spheres is $1\ mm$, the radius of the outer sphere is.

Question 44 :
A very thin metal sheet is inserted halfway between the parallel plates of an air-gap capacitor. The sheet is thin compared to the distance between the plates, and it does not touch either plate when fully inserted. The system had capacitance, $C$, before the plate is inserted.<br>What is the equivalent capacitance of the system after the sheet is fully inserted?

Question 45 :
The frequency for which $5\mu F$ capacitor has a reactance of $10,000 \Omega$ is

Question 46 :
Two capacitors of capacitance $C_1$ and $C_2$ respectively are charged to $120 V$ and $200 V$ respectively. It is found that by connecting them together the potential on each one can be made zero. Then :<br/>

Question 47 :
If the circumferences of a sphere is $2\ m$, then capacitance of sphere in water would be:

Question 48 :
The space between the plates of a parallel plate capacitor is filled with a 'dielectric' whose 'dielectric constant' varies with distance as per the relation, $K(x)=K_o+\lambda x(\lambda=a$ constant) The capacitance C, of this capacitor, would be related to its 'vacuum' capacitance $C_o$ as per the relation :<br/>

Question 49 :
If an electron enters into a space between the plates of a parallel plate capacitor at an angle $\alpha$ with the plates and leaves at an angle $\beta$ to the plates. The ratio of it's kinetic energy while entering the capacitor to that leaving will be :<br/>

Question 50 :
$4\ \mu F$ and $6\ \mu F$ capacitors are joined in series and $500\ v$ are applied between the outer plates of the system. What is the charge on each plate ?