The smallest value of x² – 3x + 3 in the interval is

Net magnetic field at the centre of the circle O due to a current carrying loop as shown in figure is

Deflection of galvanometer in the circuit is 71 divisions. A shunt of is connected parallel to galvanometer and value of R is adjusted such that main current remains the same. If the deflection in the galvanometer falls to 15 divisions then the resistance G of galvanometer is (in ohm)

Three long straight and parallel wires carrying currents are arranged as shown in figure. The wire 'B' which carries a current of 5A is so placed that it experiences no force. The distance of wire ' B ' from A is then

A semi circular current loop is placed in an uniform magnetic field of 1 tesla as shown. If the radius of loop is 1m, the magnetic force on the loop is

Two long parallel wires carrying currents 2.5A and I amp in the same direction (directed into plane) are held at P and Q respectively as shown. The points P and Q are located at 5m and 2m respectively from a collinear point R. An electron moving with a velocity of along positive x axis experiences a force of at the point 'R'. The value of I is

Wires 1 and 2 carrying currents and respectively are inclined at an angle to each other. What is the force on a small element dl of wire 2 at a distance from wire 1 due tomagnetic field of wire 1 ?

An electron accelerated through a potential difference 'V' passes through a uniform transverse magnetic field and experiences a force F. If the accelerating potential is increased to 2V, the electron in the same magnetic field will experience a force

A plane metallic sheet is placed with its face parallel to lines of magnetic induction B of a uniform field. A particle of mass m and charge q is projected with a velocity from a distance ' d ' from the plane normal to the lines of induction. Then the maximum velocity of projection for which the particle does not hit the plane is,

Which of the following describes the criterion of spontaneity

A solution of sodium sulphate is electrolyzed using inert electrodes and the gases evolved are stored in a container. What is the mole fraction of gas in container which have higher concentration.

The function 2x³ – 9x² + 12x – 3 is increasing when x belongs to the interval

We should know the way to find the minimum or maximum value.

The area of a triangle is measured in terms of b, c, A If A = 63^º and there is an error of 15 in A, the percentage error in the area is

The point on the ellipse 16x² + 9y² = 400 where ordinate decrease at the same rate at which the abscissa increases is

For such questions, we should know how to find the derivates. We should know the concept of abscissa and ordinate.

The displacement of a particle in time ‘t’ is given by S = t³ – t² – 8t – 18. The acceleration of the particle when its velocity vanishes is

For such questions, we should know relation between displacement, velocity and time. We should also know how to find first and second order derivate.

If and then is equal to