elative permittivity and permeability of a material are and , respectively. Which of the following values of these quantities are allowed for a diamagnetic mateiral?

Needles *N _{1}, N_{2}* and

*N*are made of a ferromagnetic, a paramagnetic and a diamagnetic substance respectively. A magnet when brought close to them will

_{3}

A magnetic needle is kept in a nonuniform magnetic field. It experiences

In a transformer, number of turns in the primary coil are 140 and that in the secondary coil are 280. If current in primary coil is 4 A, then that in the secondary coil is

The power factor of an *AC* circuit having resistance *(R)* and inductance *(L)* connected in series and an angular velocity is

A long solenoid has 200 turns per cm and carries a current *i*. The magnetic field at its centre is 6.28 × 10^{-2} Wb/m^{2}. Another long solenoid has 100 turns per cm and it carries a current *i/3*. What will be the value of the magnetic field at its centre?

In a region, steady and uniform electric and magnetic fields are present. These two fields are parallel to each other. A charged particle is released from rest in this region. What will be the path of the particle?

A uniform electric field and a uniform magnetic field are acting along the same direction in a certain region. If an electron is projected along the direction of the fields with a certain velocity then

A charged particle of mass *m* and charge *q* travels on a circular path of radius *r* that is perpendicular to a magnetic field *B*. What will be the time taken by the particle to complete one revolution?

Two concentric coils each of radius equal to cm are placed at right angles to each other. 3 ampere and 4 ampere are the currents flowing in each coil respectively. The magnetic induction in weber/m^{2} at the center of the coils will be

A moving coil galvanometer has 150 equal divisions. Its current sensitivity is 10 divisions per milliampere and voltage sensitivity is 2 divisions per millivolt. In order that each division reads 1 volt, the resistance in ohms needed to be connected in series with the coil will be

Two thin long, parallel wires, separated by a distance *d* carry a current of *i* A in the same direction. They will

Two long conductors, separated by a distance *d* carry current *I _{1}* and

*I*in the same direction. They exert a force

_{2}*F*on each other. Now the current in one of them is increased to two times and its direction is reversed. The distance is also increased to

*3d*. What will be the new value of the force between them?

The magnetic field due to a current carrying circular loop of radius 3 cm at a point on the axis at a distance of 4 cm from the centre is 54 What will be its value at the centre of the loop?

A long wire carries a steady current. It is bent into a circle of one turn and the magnetic field at the centre of the coil is *B*. It is then bent into a circular loop of *n* turns. What will be the magnetic field at the centre of the coil?

A current *i* ampere flows along an infinitely long straight thin walled tube, then the magnetic induction at any point inside the tube is

An ammeter reads upto 1 ampere. Its internal resistance is 0.81 ohm. To increase the range to 10 A the value of the required shunt is

A particle of charge –16×10^{-18} coulomb moving with velocity 10 ms^{-1} along the *x-axis* enters a region where a magnetic field of induction *B* is along the *y-axis*, and an electric field of magnitude 10^{4} *V/m* is along the negative *z-axis*. If the charged particle continues moving along the xaxis, then what will be the magnitude of B?

A particle of mass *M* and charge *Q* moving with velocitydescribes a circular path of radius *R *when subjected to a uniform transverse magnetic field of induction *B*. What will be the work done by the field when the particle completes one full circle?

The time period of a charged particle undergoing a circular motion in a uniform magnetic field is independent of its

If a current is passed through a spring then the spring will

If an electron and a proton having same momenta enter perpendicular to a magnetic field, then

If in a circular coil *A* of radius *R,* current *I* is flowing and in another coil *B* of radius *2R* a current *2I* is flowing, then what will be the ratio of the magnetic fields, *B _{A}* and B

_{B}, produced by them?

If an ammeter is to be used in place of a voltmeter, then we must connect with the ammeter a

Find the binomial distribution for which the mean is 4 and vanance 3

A card is drawn at random from a well-shuffled pack of 52 cards. Find the probability that

it is neither an ace nor a king

Find the probability of at most two tails or at least two heads in a toss of 3 coins

Four cards are drawn randomly from a well shuffled pack of 52 Cards. Fip probability of getting 3 diamonds and one spade

A pair of dice is thrown 4 times. If getting a doublet is considered a success, find th probability distribution of number of success?

Two electric bulbs marked 25 W-220 V and 100 W-220 V are connected in series to a 440 V supply. Which of the bulbs will fuse?

From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary are to be selected and arranged in a row on a shelf so that the dictionary is always in the middle. Then the number of such arrangements is

The area of the region bounded by the parabola (y – 2)2 = x – 1, the tangent to the parabola at the point (2, 3) and the x-axis is

The degree and order of the diffrential equation of the family of the parabolas whose is x-axis are respectively

The order and degree of the diffrential equation are

The Solution of the equation

if

The resistance of hot tungsten filament is about 10 times the cold resistance. What will be the resistance of 100 W and 200 V lamp when not in use?

Two voltameters, one of copper and another of silver, are joined in parallel. When a total charge *q* flows through the voltmeters, equal amount of metals are deposited. If the electrochemical equivalents of copper and silver are *z _{1}* and

*z*respectively the charge which flows through the silver voltameter is

_{2}

A heater coil is cut into two equal parts and only one part is now used in the heater. The heat generated will now be

The electrochemical equivalent of metal is 3.3 × 10^{-7} kg per coulomb. What will be the mass of the metal liberated at the cathode when a 3 A current is passed for 2 seconds?

An electric bulb is rated 220 volt -100 watt. What will be the power consumed by it when operated on 110 volt?

A thermocouple is made from two metals, antimony and bismuth. If one junction of the couple is kept hot and the other is kept cold then, an electric current will

An energy source will supply a constant current into the load if its internal resistance is

The thermo emf of a thermocouple varies with the temperature of the hot junction as in volt where the ratio *a/b* is 700°C. If the cold junction is kept at 0°C, then the neutral temperature is

Time taken by a 836 W heater to heat one litre of water from 10°C to 40°C is

A 220 volt, 1000 watt bulb is connected across a 110 volt mains supply. What will be the power consumed?

The negative *Zn* pole of a Daniell cell, sending a constant current through a circuit, decreases in mass by 0.13 g in 30 minutes. If the electrochemical equivalent of *Zn* and *Cu* are 32.5 and 31.5 respectively, the increase in the mass of the positive *Cu* pole in this time is

The thermo e.m.f. of a thermocouple is at room temperature. A galvanometer of 40 ohm resistance, capable of detecting current as low as 10^{-5} A, is connected with the thermocouple. The smallest temperature difference that can be detected by this system is

The mass of a product liberated on anode in an electrochemical cell depends on

Note: where t is the time period for which the current is passed.

In both DNA and RNA, heterocyclic base and phosphate ester linkages are at