Question 1 :
An electric dipole, consisting of two opposite charges of {tex} 2 \times 10 ^ { - 6 } \mathrm { C } {/tex} each separated by a distance 3{tex} \mathrm { cm } {/tex} is placed in an electric field of {tex} 2 \times 10 ^ { 5 } \mathrm { N } / \mathrm { C } {/tex} . Torque acting on the dipole is
Question 2 :
A surface has the area vector {tex} \vec { A } = ( 2 \hat { i } + 3 \hat { j } ) m ^ { 2 } . {/tex} The flux of an electric field through it if the field is {tex} \vec { E } = 4 \hat { i } \frac { V } { m } : {/tex}
Question 3 :
If a charge {tex} - 150 \mathrm { nC } {/tex} is given to a concentric spherical shell and a charge {tex} + 50 \mathrm { nC } {/tex} is placed at its centre then the charge on inner and outer surface of the shell is
Question 4 :
A rod of length 2.4{tex} \mathrm { m } {/tex} and radius 4.6{tex} \mathrm { mm } {/tex} carries a negative charge of {tex} 4.2 \times 10 ^ { - 7 } \mathrm { C } {/tex} spread uniformly over it surface. The electric field near the mid-point of the rod, at a point on its surface is
Question 5 :
A small sphere carrying a charge 'q' is hanging in between two parallel plates by a string of length L. Time period of the pendulum is T<sub> o</sub>. When parallel plates are charged, the time period changes to T. The ratio T/T<sub>0</sub> is equal to
Question 6 : A parallel plate condenser is filled with two dielectrics as shown. Area of each plate is A {tex}m^2{/tex} and the separation is {tex}t\ m {/tex}. The dielectric constants are {tex}k_1{/tex} and {tex}k_2{/tex} respectively. Its capacitance in farad will be <br><img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/NEET/5e8af47c131a2b237d875e33' class="uploaded-image" />
Question 7 : The capacitance of a parallel plate capacitor is C{tex}_a{/tex} (Fig. a). A dielectric of dielectric constant K is inserted as shown in fig. (b) and (c). If C{tex}_b{/tex} and C{tex}_c{/tex} denote the capacitance in fig. (b) and (c), then
<img style='object-fit:contain' src="https://data-screenshots.sgp1.digitaloceanspaces.com/5dea448bc733a1663d4fd9f5.jpg" />
Question 8 :
The surface charge density of a thin charged disc of radius {tex} \mathrm { R } {/tex} is {tex} \sigma . {/tex} The value of the electric field at the centre of the disc is {tex} \frac { \sigma } { 2 \epsilon _ { 0 } } . {/tex} With respect to the field at the centre, the electric field along the axis at a distance {tex} \mathrm { R } {/tex} from the centre of the disc reduces by
Question 9 : The spatial distribution of electric field due to charges {tex} ( \mathrm { A } , \mathrm { B } ) {/tex} is shown in figure. Which one of the following statements is correct?<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5d5fcda0e5db655bbf10a1a4"><br>
Question 10 :
An electric dipole is placed in a uniform electric field. The dipole will experience
Question 11 :
The electric potential {tex} V ( x ) {/tex} in a region around the origin is given by {tex} V ( x ) = 4 x ^ { 2 } {/tex} volts. The electric charge enclosed in a cube of 1{tex} \mathrm { m } {/tex} side with its centre at the origin is (in coulomb)
Question 12 : Four metallic plates each with a surface area of one side A, are placed at a distance d from each other. The two outer plates are connected to one point A and the two other inner plates to another point B as shown in the figure. Then the capacitance of the system is <br> <img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/NEET/5ea2cb748ab67a08eba567e1' class="uploaded-image" />
Question 13 :
Two identical metal plates are given positive charges <b>Q<sub>1</sub></b>, and <b>Q<sub>2</sub> < Q<sub>1</sub></b> respectively. If they are now brought close together to form a parallel plate capacitor with capacitance <b>C</, the potential difference between them is
Question 14 :
Electric charge is uniformly distributed along a long straight wire of radius 1{tex} \mathrm { mm } {/tex} . The charge per {tex} \mathrm { cm } {/tex} length of the wire is Q coulomb. Another cylindrical surface of radius 50{tex} \mathrm { cm } {/tex} and {tex} \mathrm { d } {/tex} length 1{tex} \mathrm { m } {/tex} symmetrically encloses the wire. The total electric flux passing through the cylindrical surface is
Question 15 :
If n drops, each charged to a potential {tex} \mathrm {V} {/tex}, coalesce to form a single drop. The potential of the big drop will be
Question 16 : In the figure, the net electric flux through the area {tex} A {/tex} is {tex} \phi = \vec { E } \cdot \vec { A } {/tex} when the system is in air. On immersing the system in water the net electric flux through the area<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5d5fcd5406864d5bec7bea4e"><br>
Question 17 :
Two concentric, thin metallic spheres of radii <b>R<sub>1</sub></b> and <b>R<sub>2</sub></b> <b>(R<sub>1</sub> > R<sub>2</sub>)</b> bear charges <b>Q<sub>1</sub></b> and <b>Q<sub>2</sub></b> respectively. Then the potential at radius {tex} \mathrm {r} {/tex} between <b>R<sub>1</sub></b> and <b>R<sub>2</sub></b> will be
Question 19 : Three large plates {tex} A , B {/tex} and {tex} C {/tex} are placed parallel to each other and charges are given as shown. The charge that appears on the left surface of plate {tex} B {/tex} is<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5d5fcec5e5db655bbf10a239"><br>
Question 20 :
The electric field intensity just sufficient to balance the earth's gravitational attraction on an electron will be: (given mass and charge of an electron respectively are 9.1 X10<sup>-31</sup> kg and 1.6 X 10<sup>-19</sup> C)
Question 21 :
A particle of mass {tex} m {/tex} and charge {tex} q {/tex} is placed at rest in a uniform electric field {tex} E {/tex} and then released. The kinetic energy attained by the particle after moving a distance {tex} y {/tex} is
Question 22 :
The 1000 small droplets of water each of radius {tex} \mathrm { r } {/tex} and charge Q, make a big drop of spherical shape. The potential of big drop is how many times the potential of one small droplet?
Question 23 :
For distance far away from centre of dipole the change in magnitude of electric field with change in distance from the centre of dipole is
Question 24 : What is the effective capacitance between X and Y ? <br><center><img style='object-fit:contain' src="https://data-screenshots.sgp1.digitaloceanspaces.com/5ead0959381c2135355c6aef.jpg" height="160"/></center>
Question 26 :
The total electric flux emanating from a closed surface enclosing an {tex} \alpha {/tex} -particle (e-electronic charge) is
Question 27 : There exists a non-uniform electric field along {tex} \mathrm { x } {/tex} -axis as shown in the figure below. The field increases at a uniform rate along {tex} + \mathrm { ve } {/tex} x-axis. A dipole is placed inside the field as shown. Which one of the following is correct for the dipole?<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5d5fcdf3d3eb695bc07eb3f5"><br>
Question 28 :
If a slab of insulating material {tex} 4 \times 10 ^ { - 5 } \mathrm { m } {/tex} thick is introduced between the plates of a parallel plate capacitor, the distance between the plates has to be increased by {tex} 3.5 \times 10 ^ { - 5 } \mathrm { m } {/tex} to restore the capacity to original value. Then the dielectric constant of the material of slab is
Question 29 :
An uniform electric field {tex} \mathrm { E } {/tex} exists along positive {tex} \mathrm { x } {/tex} -axis. The work done in moving a charge 0.5{tex} \mathrm { C } {/tex} through a distance 2{tex} \mathrm { m } {/tex} along a direction making an angle {tex} 60 ^ { \circ } {/tex} with {tex} \mathrm { x } {/tex} -axis is 10{tex} \mathrm { J } {/tex} . Then the magnitude of electric field is
Question 30 : A square surface of side {tex} L {/tex} meter in the plane of the paper is placed in a uniform electric field {tex} E {/tex} (volt/m) acting along the same plane at an angle {tex} \theta {/tex} with the horizontal side of the square as shown in Figure. The electric flux linked to the surface, in units of volt {tex} m , {/tex} is<br><img style='object-fit:contain' src='https://storage.googleapis.com/teachmint/question_assets/NEET/5e985f1bcf5ae23387f2a23b' class="uploaded-image" />
Question 31 :
A parallel plate condenser with a dielectric of dielectric constant {tex} K {/tex} between the plates has a capacity {tex} C {/tex} and is charged to a potential {tex} V {/tex} volt. The dielectric slab is slowly removed from between the plates and then reinserted. The net work done by the system in this process is
Question 32 : Two spherical conductors {tex} A {/tex} and {tex} B {/tex} of radii a and {tex} b {/tex} (b>a) are placed concentrically in air. The two are connected by a copper wire as shown in figure. Then the equivalent capacitance of the system is<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5d5fce8706864d5bec7bea8f"><br>
Question 33 :
If {tex} E _ { a } {/tex} be the electric field strength of a short dipole at a point on its axial line and {tex} E _ { \mathrm { c } } {/tex} that on the equatorial line at the same distance, then
Question 34 : In a given network the equivalent capacitance between {tex} A {/tex} and {tex} B {/tex} is {tex} \left[ C _ { 1 } = C _ { 4 } = \right. {/tex} {tex} \left. 1 \mu F , C _ { 2 } = C _ { 3 } = 2 \mu F \right] {/tex}<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/NEET/5d5fceafe5db655bbf10a226"><br>
Question 35 :
An oil drop of radius {tex} \mathrm { r } {/tex} and density {tex} \rho {/tex} is held stationary in a uniform vertically upwards electric field '{tex} \mathrm { E } {/tex}'. If {tex} \rho _ { 0 } ( < \rho ) {/tex} is the density of air and {tex} \mathrm { e } {/tex} is quanta of charge, then the drop has-
Question 36 :
A hollow insulated conduction sphere is given a positive charge of 10{tex} \mu \mathrm { C } {/tex} . What will be the electric field at the centre of the sphere if its radius is 2{tex} \mathrm { m } ? {/tex}
Question 37 :
Two metal pieces having a potential difference of <b>800 V</b> are <b>0.02 m</b> apart horizontally. A particle of mass <b>1.96 x 10<sup>-15</sup> kg</b> is suspended in equilibrium between the plates. If e is the elementary charge, then charge on the particle is
Question 38 :
A one microfarad capacitor of a TV is subjected to <b>4000V</b> potential difference. The energy stored in capacitor is
Question 39 :
A capacitor is charged to store an energy <b>U</b>. The charging battery is disconnected. An identical capacitor is now connected to the first capacitor in parallel. The energy in each of the capacitors is
Question 40 :
Two small similar metal spheres {tex} \mathrm { A } {/tex} and {tex} \mathrm { B } {/tex} having charges 4{tex} \mathrm { q } {/tex} and {tex} - 4 \mathrm { q } {/tex} , when placed at a certain distance apart, exert an electric force {tex} \mathrm { F } {/tex} on each other. When another identical uncharged sphere {tex} \mathrm { C } {/tex} , first touched with {tex} \mathrm { A } {/tex} then with {tex} \mathrm { B } {/tex} and then removed to infinity, the force of interaction between {tex} \mathrm { A } {/tex} and {tex} \mathrm { B } {/tex} for the same separation will be
Question 41 :
A parallel plate air capacitor is charged to a potential difference of <b>V</b> volts. After disconnecting the charging battery the distance between the plates of the capacitor is increased using an insulating handle. As a result the potential difference between the plates
Question 43 :
Among two discs <b>A</b> and <b> B </b> , first have radius <b>10 cm</b> and charge {tex} 10 ^ { - 6 } \mu C {/tex} and second have radius <b>30cm</b> and charge {tex} 10 ^ { - 5 } \mathrm { C } {/tex} . When they are touched, charge on both <b>q<sub>A</sub></b> and <b>q<sub>B</sub></b> respectively will, be
Question 44 :
Two equally charged, identical metal spheres A and B repel each other with a force ‘F’. The spheres are kept fixed with a distance ‘r’ between them. A third identical, but uncharged sphere C is brought in contact with A and then placed at the mid point of the line joining A and B. The magnitude of the net electric force on C is
Question 45 :
Two identical particles each of mass m and having charge <b>-q</b> and <b>+q</b> are revolving in a circle of radius <b>r</b> under the influence of electric attraction. Kinetic energy of each particle is
