The positive integers are written in a triangular array as shown

The row in which the number 2005 will be, is

P is a point inside the triangle ABC. Lines are drawn through P parallel to the sides of the triangle. The areas of the three resulting triangles with a vertex at P are 4, 9 and 49, then the area of ABC is

ratio of sides of similar triangles = square root of the ratio of areas of the triangles. the converse is also true.

ABC is an isosceles right angled triangle with AB = BC = 1. If P is any point on BC, then min {max{(area APQ), (area PQBR), area PRC)}} is

the minimum function gives us the minimum of the values passed to it . similarly, the max or maximum function returns the maximum of the values passed to it.

An electron is moving along the positive X-axis. You want to apply a magnetic field for a short time so that the electron may reverse its direction and move parallel to the negative X-axis. This can be done by applying the magnetic field along

A current carrying wire LN is bent in the from shown below. If wire carries a current of 10 A and it is placed in a magnetic field of 5T which acts perpendicular to the paper outwards then it will experience a force

Figure shows a straight wire of length l current i. The magnitude of magnetic field produced by the current at point P is

In figure shows three long straight wires P, Q and R carrying currents normal to the plane of the paper. All three currents have the same magnitude. Which arrow best shows the direction of the resultant force on the wire P

A wire carrying a current i is placed in a uniform magnetic field in the form of the curve The force acting on the wire is

Two very thin metallic wires placed along X and Y-axis carry equal currents as shown here. AB and CD are lines at with the axes with origin of axes at O. The magnetic field will be zero on the line

An electron moving with a speed u along the positive x-axis at y = 0 enters a region of uniform magnetic field which exists to the right of y-axis. The electron exits from the region after some time with the speed v at co-ordinate y, then

The unit vectors are as shown below. What will be the magnetic field at O in the following figure

AB and CD are long straight conductor, distance d apart, carrying a current I. The magnetic field at the midpoint of BC is

A proton accelerated by a potential difference moves though a transverse magnetic field of as shown in figure. The angle through which the proton deviates from the initial direction of its motion is

In the following figure a wire bent in the form of a regular polygon of n sides is inscribed in a circle of radius a. Net magnetic field at centre will be

In the given figure net magnetic field at O will be

A uniform conducting wire ABC has a mass of 10g. A current of 2A flows through it. The wire is kept in a uniform magnetic field The acceleration of the wire will be