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A Function can be written as the sum of even and odd function ...

Find Lim (sinx - x) x->0 x2 ...

In Hexagonal close packing X occupy all the lattice positions, Y occupy 2/3 tetrahedral holes and Z occupies 1/3 octahedral holes. The empirical formula of the compound is ...

*Image* A dissociate in parallel to form B and C. A to B follow zero order reaction while A to C follow first order reaction. The rate constant for the zero order reaction is K and for first order it is 2K. The time time take ...

Section-I: Straight Objective type 90 gm of a metal reacts with 40 gm of oxygen to form metal oxide. The metal oxide requires 10 ml of 1/3 N of oxidizing agent to oxidise to M5+. The molecular weight of the metal is ...

a space walking astraunot ,floating freely in space at rest relative to his rocket ,watches the rocket's engine briefly ignite.The statements below refer to the change in the rocket's kinetic energy and momentum,and t ...

dot product of force and velocity is? ...

a ball thrown downward from a tall building ,attains constant velocity .if the action is the force of gravity on the ball,the reaction from newton's 3rd law of motion is? ...

An infinite current carrying wire passes through point O and is perpendicular to the plane containing a current carrying loop ABCD as shown in the figure. Choose the correct option *Image* ...

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 loop. If steady current I is established in the wire as shown ...

A circular loop of wire is carrying a current i (as shown in the figure). On applying a uniform magnetic field inward perpendicular to the plane of the loop, the loop *Image* ...

Two particles each of mass m and charge q are attached to the two ends of a light rod of length 2R. The rod is rotated at constant angular speed about a perpendicular axis passing through its centre. The ratio of the magnitud ...

A wire of length L metres carrying a current i amperes is bent in the form of a circle. The magnitude of its magnetic moment is ...

A neutron, a proton, an electron and an alpha particle enter a region of constant magnitude field with equal velocities. The magnetic field is along the inward normal to the plane of paper. The tracks of the particles are sho ...

A wire ABCDEF (with each side of length L) bent as shown in the figure and carrying a current I is placed in a uniform magnetic induction B parallel to the positive y-direction. The force experienced by the wire is *Image* ...

A particle of mass m and charge q moves with a constant velocity v along the positive x direction. It enters a region containing a uniform magnetic field B directed along the negative z direction, extending from x=a to x& ...

Two particles X and Y having equal charges, after being accelerated through the same potential difference, enter a region of uniform magnetic field and describe circular paths of radii R1 and R2 respectively. The ratio of the ...

A proton moving with a constant velocity passes through a region of space without any change in its velocity. If E and B represent the electric and magnetic fields respectively, this region of space must not have ...

A non-conducting disc of radius ‘a’ and uniform positive surface charge density (rho) is placed on the ground, with its axis vertical. A particle of mass m and positive charge q is dropped, along the axis of the disc, fro ...

A horizontal circular coil has 50 turns and a mean radius of 3.14 cm. It carries a current of 3.0 A. The current is clockwise. What is the magnitude and direction of the magnetic field at the centre of the coil ? ...

In Young' s double slit experiment the two slits are 0.5 mm apart and the screen-slits distance is 100 cm. The distance of the 11th bright fringe from the first bright fringe is found to be 1.178 cm. Find the wavelength o ...

A thin prism P1 with angle 4° and made from glass of refractive index 1.54 is combined with another thin prism P2 made from glass of refractive index 1.72 to produce dispersion without deviation. The angle of prism P2 is ...

A cylinder of radius R made of a material of thermal conductivity k , is surrounded by a cylindrical shell of inner radius R and outer radius 2R made of a material of thermal conductivity k2.The two ends of teh combined syste ...

An air-filled parallel plate capacitor has a capacitance of 10 -12F. The separation of the plates is doubled and wax is inserted between them , which increases the capacitance to 2 x 10 -12F . The dielectric constant of wax i ...

A smooth sphere A is moving on a frictionless horizontal plane with angular speed Ω and center of mass velocity v. It collides elastically and head on with an identical sphere B at rest. Neglect friction everywhere. After th ...

A body is subjected to a constant force F =-i +2j+3k (in Newton ).Wherei,j,k are unit vectors along x, y and z-axis respectively. What is the work done by this force in moving the body through a distance of 4m along the z ...

Two point charges of +5 x 10-19 C and +20 x 10-19 C are separated by a distance of 2m. Find the point on the line joining them at which electric field intensity is zero? ...

1.Two identical metallic spheres having unequal opposite charges are placed at a distance of 0.50m apart in air. After bringing them in contact with each other they are again placed at the same distance apart. Now the force o ...

A current of 10A flows in the circuit which is in the horizontal plane as shown in figure. The radii r1 and r2 are 0.08m and 0.12m respectively. Each arc subtends the same angle at the centre. The magnitude magnetic field pro ...

A long straight wire along the z-axis carries a current I in the negative z direction. The magnetic field vector B at a point having coordinates (x,y) in the z=0 plane is ...