A cyclotron accelerates particles of mass m and charge q. The energy of particles emerging is proportional to

• $\frac{{\mathrm{q}}^2}{\mathrm{m}}$

• $\frac{\mathrm{q}}{{\mathrm{m}}^2}$

• $\frac{{\mathrm{q}}^2}{{\mathrm{m}}^2}$

• q

The electric field inside a perfectly conducting hollow object is

• 4π

• infinite

• zero

• dependent upon the shape of the object

223.

The densities of three liquids are D, 2D and 3D. What will be the density of the resulting mixture if equal volumes of the three liquids are mixed?

• 6D

• 1.4D

• 2D

• 3D

A particle is moving with uniform acceleration along a straight line ABC, where AB = BC. The average velocity of the particle from A to B is 10 m/s and from B to C is 15 m/s. The average velocity for the whole journey from A to C in m/s is

• 12

• 12.5

• 13

• 13.5

The dimension of 'impulse' is the same as that of

• pressure

• angular momentum

• work

• linear momentum

The displacement of a particle is given by x = cos² ωt. The motion is

• simple harmonic

• periodic but not simple harmonic

• non-periodic

• None of the above

A motor vehicle is moving on a circle with a uniform speed. The net acceleration of the vehicle is

• zero

• towards the centre of the circle

• away from the centre along the radius of the circle

• perpendicular to the radius and along the velocity

An object is undergoing a non-accelerated motion. It's rate of change in momentum is

• a non-zero constant

• zero

• not a constant

• None of the above

The motion of an electron in presence of a magnetic field is depicted in the figure given above. The force acting on the electron will be directed

• into the page

• out of the page

• opposite to the motion of the electron

• along the motion of the electron

Imagine a current-carrying wire with the direction of current downward or into the page. The direction of magnetic field lines is

• clockwise

• anticlockwise

• into the page

• out of the page