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Syllabus

what is the meaning of quantisation of charge?

(A) up the plane (B) down the plane (C) horizontal (D) zero

_{0}?Difference between gravitational force and electrostatic force

Q.23. Moment of inertia of a rectangular plate about an axis passing through P and perpendicular to the plate is I. Then moment of inertia of PQR about an axis perpendicular to the plane of the plate:

A) about P = I/2

B) about R = I/2

C) about P > I/2

D) about R > I/2

what is the dimensional formula of epsilon not?

Two similarly and equally charged identical metal spheres A and B repel each other with a force of 0.000002 N. A third identical sphere C is touched with A and then placed at the mid point between A nd B. What is the net electric force on C?

Q.3. In figure two identical particles each of mass m are tied together with an inextensible string. This is pulled at its centre with a constant force F. If the whole system lies on a smooth horizontal plane, then the relative acceleration between the particles is

A) $\frac{\sqrt{3}}{2}\frac{F}{M}$

B) $\frac{1}{2\sqrt{3}}\frac{F}{M}$

C) $\frac{2}{\sqrt{3}}\frac{F}{M}$

D) $\frac{F}{\sqrt{3}M}$

Three point charges of +2 microcoulomb,-3 microcoulomb and -3 microcoulomb are kept at the vertices A,B and C respectively of an equilateral triangle of side 20 cm.What should be the sign and magnitude of the charge to be placed at the mid point(M) of side BC so that the charge at A remains in equilibrium?

_{g}. The kinetic energy of the system is: (Slipping is absent)$A)6{\omega}_{0}B)12{\omega}_{0}C)4{\omega}_{0}D)8{\omega}_{0}$

A charge q is placed at the center of the line joining two equal charges Q. Show that the system of three charges will be in equilibrium if q = -Q/4.

(1) $\frac{1}{4{\mathrm{\pi \epsilon}}_{0}}\frac{\mathrm{q}}{3\sqrt{3}{\mathrm{R}}^{2}}$ (2) $\frac{{\displaystyle 1}}{{\displaystyle 4{\mathrm{\pi \epsilon}}_{0}}}\frac{{\displaystyle 2\mathrm{q}}}{{\displaystyle 3{\mathrm{R}}^{2}}}$ (3) $\frac{{\displaystyle 1}}{{\displaystyle 4{\mathrm{\pi \epsilon}}_{0}}}\frac{{\displaystyle 2\mathrm{q}}}{{\displaystyle 3\sqrt{3}{\mathrm{R}}^{2}}}$ (4) $\frac{{\displaystyle 1}}{{\displaystyle 4{\mathrm{\pi \epsilon}}_{0}}}\frac{{\displaystyle 3\mathrm{q}}}{{\displaystyle 2\sqrt{3}{\mathrm{R}}^{2}}}$

derive an expression for potential energy of an electric dipole in a uniform electric field .

40. A wedge of mass M fitted with a spring of stiffness k' is kept a smooth horizontal surface. A rod of mass m is kept on the wedge as shown in the figure. System is in equilibrium and at rest Assuming that all surfaces are smooth, the potential energy stored in the spring is :

$\left(\mathrm{A}\right)\frac{{\mathrm{mg}}^{2}{\mathrm{tan}}^{2}\mathrm{\theta}}{2\mathrm{K}}\left(\mathrm{B}\right)\frac{{\mathrm{m}}^{2}\mathrm{g}{\mathrm{tan}}^{2}\mathrm{\theta}}{2\mathrm{K}}\left(\mathrm{C}\right)\frac{{\mathrm{m}}^{2}{\mathrm{g}}^{2}{\mathrm{tan}}^{2}\mathrm{\theta}}{2\mathrm{K}}\left(\mathrm{D}\right)\frac{{\mathrm{m}}^{2}{\mathrm{g}}^{2}{\mathrm{tan}}^{2}\mathrm{\theta}}{\mathrm{K}}$

difference between uniform and non-uniform electric fields.... plzz if possible draw diagrams too..!

A charge "q" is placed at the centre of the cube of side "l". What is the electric flux passing through each face of the cube?

Q.28. A system of two blocks A and B are connected by an inextensible massless string as shown in the figure. The pulley is massless and frictionless. Initially the system is at rest when, a bullet of mass 'm' moving with a velocity 'u' hits the block 'B' and gets embedded into it. The impulse imparted by tension force to the block of mass 3 m is :

A) $\frac{5mu}{4}$

B) $\frac{4mu}{5}$

C) $\frac{2mu}{5}$

D) $\frac{3mu}{5}$

what does q1+q2 =0 signify in electrostatics?

_{1}, Q_{2}, Q_{3}, respectively. It is found that the surface charge densities on the outer surfaces of the shells are equal. Then, the ratio of the charges given to the shells, Q_{1}: Q_{2}: Q_{3}is : (1) 1 : 2 : 3 (2) 1 : 3 : 5 (3) 1 : 4 : 9 (4) 1 : 8 : 18An infinite number of charges each equal to q are placed along x axis at x=1 , x=2 , x=4, x=8 and so on . Find the electric field at the point where x=0 due to this setup of charges and what will be the electric field if inthe above setup the consecutive charges have opposite sign.?

(1)20 m(2)30 m(3)40 m(4)50 m

a gas is heated through 1 degree celsius in a closed vessel. its pressure is increased by 0.4%.the initial temperature of the gas is ????

Two infinitely long parallel wires having linear charge densities λ1 and λ2 respectively are placed at a distance of R metre. The force per unit length on either wire will be.......?

Pls provide chart for values of Sin, Cos, Tan and Cot for specific values from 30 degrees to 360 degrees.

Q.9. A 5 m long pole of 3 kg mass is placed against a smooth vertical well as shown in the figure. Under equilibrium condition, if the pole makes an angle of 37$\xb0$ with the horizontal, the frictional force between the pole and horizontal surface is

A) 20 N

B) 30 N

C) 20 $\mu $N

D) 30 $\mu $N

Â What is quantisation of charge?

What are the limitations of Coulomb's Law ?

Four charges, each equal to Q are placed at the 4 corners of a square and a charge q is placed at the centre of the square. If the system is in equilibrium, then the value of q is?

A pendulum bob of mass of 80 mg and carrying a charge of 2 X 10

^{-}^{8}C is at rest in a horizontal uniform electric field of 20,000 V/m. Find the tension in the thread of the pendulum and the angle it makes with the vertical.Take( g = 9.8ms

^{-2})Q.28. For the path PQR in a conservative force field (fig.), the amount of work done in carrying a body from P to Q & from Q to R are 5 J & 2 J respectively. The work done in carrying the body from P to R will be -

A) 7 J

B) 3 J

C) $\sqrt{21}$ J

D) zero

two equal point charges A and B are R distance apart. A third point charge placed on the prependicular bisector at a distance 'd' from the center will experience maximum electrostatic force when

1. d = R/2 X 1.414

2 d = R/ 1.414

3. d = R 1.414

4. d = 2 X 1.414 R

1. zero

2. 5 V/m

3. 10Vm

4. 20 V/m

Three charges each equal to q are placed at the three corners of a square of side a. Find the electric field at the fourth corner.

(A) ${e}^{2}\overrightarrow{v}$ (B) $-{e}^{2}\overrightarrow{v}$ (C) $-e\overrightarrow{v}$ (D) data insufficient

when a body becmes negatively charged , its mass

[a] decreases [b] increases

[c] remins the same [d] none of these

what equal charges would have placed on earth and moon to neutralise their gravitational attraction? Given mass of earth 10

^{25}kg and mass of moon = 10^{23}kg.q. Two point charges of +16 micro coulomb and -9 micro coulomb are placed 8 cm apart in air .Determine the position of the point at which the resultant field is zero .

a semi infinite line charge of linear charge density 'D' has the shape of an infinitely long straight wire whose one end is connected to three-fourth circle of radius 'R' while one of the diameters of 3/4th circle is parallel to the infinitely long straight part.What is the field at the centre of the circle.How?

Two small balls having equal positive charge q coulomb are suspended by two insulating strings of equal length ' l ' meter from hook fixed to stand.The whole setup is taken in a satellite into sapce where there is no gravity. What is the angle between the two strings and the tension in each string?

1)Eqm/t

2)E^2q^2t^2/2m

3)2E^2t^2/m

4)Eq^2m/2t^2

an electric dipole of dipole moment 20 *10

^{-6}Cm is enclosed by a closed surface .what is the net flux coming out of the surface?HOW TO DO THIS QUESTION?

The electric field components due to a charge inside the cube of side 0.1 m are as shown:

Where α = 500 N/C − m

E_{y}= 0,E_{z}= 0Calculate (i) the flux through the cube and (ii) the charge inside the cube

two fixed point charges +4e and +e units are separated by a distance a .where should the third point charge be placed for it to be in equilibrium ?

$1.\frac{KQ}{r}\phantom{\rule{0ex}{0ex}}2.\frac{KQ}{{r}^{2}}\phantom{\rule{0ex}{0ex}}3.\frac{KQ}{{r}^{3}}{\left({r}^{2}-{R}^{2}\right)}^{1/2}\phantom{\rule{0ex}{0ex}}4.\frac{KQR}{{R}^{3}}$

how much positive and negative charge is there in a cup of water

Q.5. Two rods each of mass m and length l are joined at the centre to form a cross. The moment of inertia of this cross about an axis passing through the common centre of the rods and perpendicular to the plane formed by them, is .

(1) $\frac{m{l}^{2}}{12}$

(2) $\frac{m{l}^{2}}{6}$

(3) $\frac{m{l}^{2}}{3}$

(4) $\frac{m{l}^{2}}{2}$

what is the principle of vernier calipers

Four charges are placed on corners of a square ABCD, A = Q, B = -2Q, C = +2Q & D = -Q having side of 5cm. If Q is one microcoulomb, then electric field intensity at centre will be

a) 1.02 x 10

^{7}N / C upwardsb) 2.04 x 10

^{7}N / C downwardsc) 2.04 x 10

^{7}N / C upwardsd) 1.02 x 10

^{7}N / C downwards2 point charges at distance ' r ' in air exert a force ' F ' on each other, at what distance will these charges experience the same force ' F' in a medium of dielectric constant K?

electrostatic field lines cannot be discontinuous why?

state Gauss' law in electrostatics.

a bead is free to slide down a smooth wire stretched between points A and B on a vertical circle of radius 10 M .find the time taken by the bead to reach point B if the bead slides from rest from the highest point on the circle A.

(answer-2)

Explain the formulae E = Sigma / Epsilon not.

E is the electric field vector.

Epsilon not is the specific inductive capacity or relative permittivity of vaccum.

Sigma = ? (doubt)

project to study various factors on which the internal resistance emf of a cell depends

State and prove

.Gauss TheoremAn electron falls through a distance of 1.5 cm in a uniform electric field of magnitude 2.0 Ã— 10

^{4}N C^{â€“1}in the direction of the field . Then the direction of the field is reversed keeping its magnitude unchanged and a proton falls through the same distance . compute the time of fall in each case.(1) 2 s

(2) 3 s

(3) 4 s

(4) 5 s

what are the physical significance of electric field??

(a) Zero (b) Along the diagonal AC (c) Along the diagonal BD Perpendicular to side AD

What is the angle between the directions of electric field at any 1) axial point 2) equatorial point due to an electric dipole ?

(A) Minimum force needed to cause system to move on ground is 17 N

(B) When force F = 4N, static friction at all surfaces 1 4 N to keep system at rest.

(C) Maximum acceleration of 4 kg block is 2 m/${s}^{2}$

(D) Slipping between 4 kg and 5 kg block starts when F is 17 N.

Find (i) the force on the charge at the centre of shell and at the point A. (ii) the electric flux through the shell.

Q. The electric field in a certain region is given by $\overrightarrow{E}=\left(\frac{K}{{x}^{3}}\right)\hat{i}$ The dimensions of K are—

1. ML${T}^{-3}{A}^{-1}$

2. M${L}^{-2}$ ${T}^{-3}{A}^{-1}$

3.M${L}^{4}$ ${T}^{-3}{A}^{-1}$

4. dimensionless

the sum of two point charges is 7uC. they repel each other with a force of 1N when kept 30cm apart in free space. calculate the value of each charge.

a. q

b. -q

c. 2q

d. -2q

explain cyclotron in a more elaborate way

An infinite number of bricks are placed one over the other as shown in the figure. Each succeeding brick having half the length and bricks being 1/4th of the preceding one , take 'O' as the origin, the x-coordinate of centre of mass of the system of bricks is

If E=6i+3j+4k, calculate the electric flux through a surface of area 20 units in the YZ plane.

A certain charge Q is divided into two parts q and Q-q which are then seperated by a certain distance.What must q be iin terms of Qto maximise the electrostatics repulsion between the two charges?

what is the source charge and test charge

6.

A circular hole of radius $\frac{\mathrm{R}}{4}$ is made in a

thin uniform disc having mass M and

radius R, as shown in figure. The moment

of inertia of the remaining portion of the

disc about an axis passing through the

point O and perpendicular to the plane of

the disc is :

$\left(1\right)\frac{219{\mathrm{MR}}^{2}}{256}\phantom{\rule{0ex}{0ex}}\left(2\right)\frac{237{\mathrm{MR}}^{2}}{512}\phantom{\rule{0ex}{0ex}}\left(3\right)\frac{19{\mathrm{MR}}^{2}}{512}\phantom{\rule{0ex}{0ex}}\left(4\right)\frac{197{\mathrm{MR}}^{2}}{256}\phantom{\rule{0ex}{0ex}}$

a car moving with a speed of 40km/hr can be stopped by applying brakes after at least 2m.If the same car is moving with 80km/hr.What is the least stopping distance?

Q.23. A dipole is placed parallel to the electric field. If W is the work done in rotating the dipole by 60$\xb0$, then work done in rotating it by 180$\xb0$ is

(a) 2 W

(b) 3 W

(c) 4 W

(d) $\frac{{\displaystyle W}}{{\displaystyle 2}}$

Why does the electric field inside a dielectric decrease when it is placed in an external electric field?

how does coulomb force between two point charges depend upon the permitivity of the intervening medium ?

How many electrons are present in 1 coulomb of charge?

_{1}and m_{2}which move in opposite directions with velocities v_{1}and v_{2}. The ratio of their kinetic energies E_{1}/E_{2}is(a) m

_{1}v_{2}/ m_{2}_{ }v_{1}(b) m_{2}/ m_{1 }(c) m_{1}/ m_{2}_{ }(d) 1