List of practice Questions

A particle of charge $-q$ and mass $m$ moves in a circle of radius $r$ around an infinitely long line charge of linear density $+\lambda$. Then the time period will be given as:

Escape velocity of a body from earth is 11.2 km/s. If the radius of a planet be one-third the radius of earth and mass be one-sixth that of earth, the escape velocity from the planet is:

A beam of unpolarised light of intensity $ I_0 $ is passed through a polaroid A and then through another polaroid B which is oriented so that its principal plane makes an angle of 45° relative to that of A. The intensity of emergent light is:

If the total energy transferred to a surface in time $ t $ is $ 6.48 \times 10^5 \, \text{J} $, then the magnitude of the total momentum delivered to this surface for complete absorption will be :

A block of mass m is placed on a surface having vertical cross section given by $y=\frac{x^2}{4}$. If coefficient of friction is 0.5, the maximum height above the ground at which block can be placed without slipping is:

An alternating voltage $ V(t) = 220 \sin 100 \pi t $ volt is applied to a purely resistive load of 50 $ \Omega $. The time taken for the current to rise from half of the peak value to the peak value is:

An electron revolving in the $ n^{th} $ Bohr orbit has magnetic moment $ \mu $. If $ \mu_n $ is the value of $ \mu $, the value of $ x $ is:

Choose the correct statement for processes A & B shown in figure.

In a nuclear fission reaction of an isotope of mass $ M $, three similar daughter nuclei of the same mass are formed. The speed of a daughter nuclei in terms of mass defect $ \Delta M $ will be:

Ice at temperature –10°C is converted to steam at 100°C, the curve plotted between temperature (T) and time (t) when it is being heated by constant power source is

Select the option with correct property -

For the photoelectric effect, the maximum kinetic energy $ E_k $ of the photoelectrons is plotted against the frequency $ \nu $ of the incident photons as shown in figure. The slope of the graph gives

A block of mass 1 kg is pushed up a surface inclined to horizontal at an angle of 60° by a force of 10 N parallel to the inclined surface as shown in the figure. When the block is pushed up by 10 m along the inclined surface, the work done against frictional force is:

If 50 Vernier divisions are equal to 49 main scale divisions of a travelling microscope and one smallest reading of the main scale is 0.5 mm, the Vernier constant of the travelling microscope is:

The variance $\sigma^2$ of the data