Fill Ups of Electrostatics, Past year Questions JEE Advance, Class 12, Physics JEE Notes | EduRev

Class 12 Physics 35 Years JEE Mains &Advance Past year Paper

Created by: Abhishek Kapoor

JEE : Fill Ups of Electrostatics, Past year Questions JEE Advance, Class 12, Physics JEE Notes | EduRev

The document Fill Ups of Electrostatics, Past year Questions JEE Advance, Class 12, Physics JEE Notes | EduRev is a part of the JEE Course Class 12 Physics 35 Years JEE Mains &Advance Past year Paper.
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Q.1. Five identical capacitor plates, each of area A, are arranged such that adjacent plates are at a distance d apart, the plates are connected to a source of emf V as shown in the figure             (1984- 2 Marks)

The charge on plate 1 is ..... and on plate 4 is ....

Fill Ups of Electrostatics, Past year Questions JEE Advance, Class 12, Physics JEE Notes | EduRev

Ans. Fill Ups of Electrostatics, Past year Questions JEE Advance, Class 12, Physics JEE Notes | EduRev

Solution. On the plate 1 there is +ve charge

Fill Ups of Electrostatics, Past year Questions JEE Advance, Class 12, Physics JEE Notes | EduRev

Fill Ups of Electrostatics, Past year Questions JEE Advance, Class 12, Physics JEE Notes | EduRev

On the plate 4 the charge is

Fill Ups of Electrostatics, Past year Questions JEE Advance, Class 12, Physics JEE Notes | EduRev

Q.2. Figure shows li ne of c onstant potential in a region in which an electric field is present. The values of the potential are written in brackets. Of the points A, B and C, the magnitude of the electric field is greatest at the point ...        (1984- 2 Marks)

Fill Ups of Electrostatics, Past year Questions JEE Advance, Class 12, Physics JEE Notes | EduRev

Ans. B

Solution. It is greatest at point B because at B the equipotential surfaces are closest.

Q.3. Two small balls having equal positive charges Q (coulomb) on each are suspended by two insulating strings of equal length L (metre) from a hook fixed to a stand. The whole set up is taken in a satellite into space where there is no gravity (state of weightlessness). The angle between the two strings is ........... and the tension in each string is ........ newtons.    (1986 - 2 Marks)

Ans. Fill Ups of Electrostatics, Past year Questions JEE Advance, Class 12, Physics JEE Notes | EduRev

Solution. There is no gravitational force acting. Only electrostatic force of repulsion is acting which will take the two balls as far as possible. The angle between the two strings will be 180°. The tension in the string will be equal to the electrostatic force of repulsion


Fill Ups of Electrostatics, Past year Questions JEE Advance, Class 12, Physics JEE Notes | EduRev

Q.4. Two parallel plate capacitors of capacitances C and 2C are connected in parallel and charged to a potential difference V. The battery is then disconnected and the region between the plates of the capacitor C is completely filled with a material of dielectric constant K. The potential differences across the capacitors now becomes.............     (1988 - 2 Marks)

Ans. Fill Ups of Electrostatics, Past year Questions JEE Advance, Class 12, Physics JEE Notes | EduRev

Solution. Initially charge on capacitance C = q1 = CV 

Charge on capacitance C = q2 = 2CV

Fill Ups of Electrostatics, Past year Questions JEE Advance, Class 12, Physics JEE Notes | EduRev

Finally charge on capacitance C = q,' = KCV '

Charge on capacitance 2C = q2' = 2CV '

Total charge will remain conserved

Fill Ups of Electrostatics, Past year Questions JEE Advance, Class 12, Physics JEE Notes | EduRev

Q.5. A point charge q moves from point P to point S along the path PQRS (fig.) in a uniform electric field E pointing parallel to the positive direction of the X-axis. The cooridnates of the points P, Q, R and S are (a, b, O), (2a, O, O) (a, – b, O) and (O, O,O) respectively. The work done by the field in the above process is given by the expression ................               (1989 - 2 Marks)

Fill Ups of Electrostatics, Past year Questions JEE Advance, Class 12, Physics JEE Notes | EduRev

Ans. –qEa

Solution. NOTE : Since electric field is conservative in nature, the work done by the field along PQRS will be same as along PMS 

Work done from P to M Fill Ups of Electrostatics, Past year Questions JEE Advance, Class 12, Physics JEE Notes | EduRev

= F (PM) cos 90° = 0

Fill Ups of Electrostatics, Past year Questions JEE Advance, Class 12, Physics JEE Notes | EduRev

Work done from M to S = Fill Ups of Electrostatics, Past year Questions JEE Advance, Class 12, Physics JEE Notes | EduRev

= F (MS) cos 180° [∵F = qE] 

= – qEa

Q.6. The electric potential V at any point x, y, z (all in metres) in space is given by V = 4x2 volts. The electric field at the point (1m, 0, 2 m) is .................... V/m.                (1992 - 1 Mark)

Ans. –8

Solution. Electric potential V = 4x2 volts 

The electric potential changes only along x-axis, We know that

Fill Ups of Electrostatics, Past year Questions JEE Advance, Class 12, Physics JEE Notes | EduRev

The electric field at point (1, 0, 2) will be (here x = 1) 

Ex = – 8 volt/m.

Q.7. Five point charges, each of value + q coul, are placed on five vertices of a regular hexagon of side L metres. The magnitude of the force on the point charge of value – q coul. placed at the centre of the hexagen is .................... newton.        (1992 - 1 Mark)

Fill Ups of Electrostatics, Past year Questions JEE Advance, Class 12, Physics JEE Notes | EduRev

Ans. Fill Ups of Electrostatics, Past year Questions JEE Advance, Class 12, Physics JEE Notes | EduRev

Solution. 

Fill Ups of Electrostatics, Past year Questions JEE Advance, Class 12, Physics JEE Notes | EduRev

Force on (–q) due to charge at D will get cancelled out by force on (–q) due to change on A. Similarly force on –q due to charge at E will get cancelled out due to charge on B. So the net force will be  because of charge onFill Ups of Electrostatics, Past year Questions JEE Advance, Class 12, Physics JEE Notes | EduRev directed from O to C.

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