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A rectangular loop carrying a current i is situated near a long straight wire such that the wire is parallel to one of the sides of the loop and is in the plane of the loop. If a steady current I is established in the wire th ...

*Image* The resistances given are in Ω Find the equivalent resistance between A and B (in Ω) ...

*Image* A battery of internal resistance 4Ω is connected to the network of resistances as shown. In order to give the maximum power to the network, the value of R (in Ω) should be ...

Two wires of same metal have the same length but their cross sections are in the ratio 3:1. They are joined in series. The resistance of the thicker wire is 10 Ω. The total resistance of the combination is ...

There is an electric field E in the x-direction. If the work done on moving a charge of 0.2 C through a distance of 4 m along a line making an angle 60° with x-axis is 8 J, then E is ...

If charge q is placed at the centre of the line joining two equal charges Q. The system of three charges will be in equilibrium if q is ...

A shell is fired from a cannon with a velocity v at an angle θ with the horizontal direction. At the highest point in its path it explodes into two pieces of equal mass. One of the pieces retraces its path to the cannon and ...

P and Q are two solids with relative densities 0.6 and 0.9 respectively. A and B are two liquids with relative densities 0.75 and 1.0 respectively. P and Q are dipped in A and B then ...

A satellite is in an orbit around the earth. If its kinetic energy is doubled, then ...

A mass m is moving with a constant velocity along a line parallel to the X-axis away from the origin, its angular momentum with respect origin ...

A body floats in a liquid contained in a beaker. The whole system as shown in the figure, falls freely under gravity. The upthrust on the body is *Image* ...

An ideal spring-constant k is hung from the ceiling and a block of mass M is attached to its lower end. The mass is released with the spring initially unstretched. Then the maximum extension in the spring is ...

A mass m rests under the action of a force F as shown in the figure on a horizontal surface. The coefficient of friction between the mass and the surface is μ. The force of friction between the mass and the surface is *Image ...

A projectile as seen from another projectile is a ...

The equation y2/(1-r)-x2/(1+r)=1, r>1 represents ...

If cotθ=-4/3, then cosθ is ...

The value of k for which the line (x-k)/2=(y-3)/3=(z-4)/1 lies on the plane 2x-y+z=7 is ...

Two identical dice are rolled, find the probability that the product of the numbers is less than 15 ...

A five digit number divisible by 6 is to be formed using the numbers 0,1,2,3,4,5 without repetition. The total number of ways this can be done is ...

a and b are two unit vectors such that a+2b and 5a-4b are perpendicular to each other, then the angle between a and b is ...

a, b and c are unit coplanar vectors, then the scalar triple product [3a-2b 3b-2c 3c-2a]= ...

For all complex numbers z1, z2 satisfying |z1|=15 and |z2-3-4i|=5, the minimum value of |z1-z2| is ...

Let the positive numbers a,b,c,d be in H.P., Then abc, abd,acd and bcd are in ...

tan[sin-1(3/5)+tan-1(2/3)]= ...

A man from the top of a 100 metres high tower sees a car moving towards the tower at an angle of depression of 30°. After sometime, the angle of depression becomes 60°. The distance traveled by car the car during this time ...

The sides of a triangle are in the ratio 1:√3:2, then the angles of the triangle are in the ratio ...

The no. of solution of the 3sinx=4-(√6)cosx in the interval [0,2π] is ...

Orthocentre of triangle formed by the lines whose combined equation is (y2-5xy-x2)(3x-2y+8)=0 is ...

The area bounded by the curves 6|x|+7|y|=21 is ...

\int_{0}^{\pi /2}{[sin^{3}xcosx]dx} where [.] is the greatest integer function ...