Which of the following statements are correct?
(A) The electrostatic repulsive force between the protons can be greater than the nuclear force to bind the nucleons together inside a nucleus.
(B) The repulsive electrostatic force between protons in smaller nuclei is much smaller than the nuclear force between nucleons inside a nucleus.
(C) The gravitational force between nucleons is much smaller than the nuclear force between the nucleons inside a nucleus.
(D) The binding energy per nucleon between nucleons is almost constant because the nuclear force is a long range force.
Choose the correct answer from the options given below:

A positively charged particle moving along + X axis, enters a region of uniform magnetic field directed vertically upward in + Z direction. The particle will

What will be the expression for the energy of a photon of wavelength \(\lambda\) is:

A closed surface in vacuum encloses charges \( - q \) and \( + 3q \). Another charge \( - 2q \) lies out side the surface. The total electric flux over the surface is :

The refractive indices of glass and water are 3/2 and 4/3, respectively. If light passes from glass to water, the critical angle is

A convex lens \(\left(n_g=1.5\right)\) of focal length 10 cm in air when immersed in a liquid behaves as a diverging lens of focal length 45 cm . The refractive index of the liquid :

The wavelength of matter wave for a moving charged particle is independent of

In a plane electromagnetic wave, the electric field varies as \( E = 90 \sin(500x + 20 \times 10^{10}t) \text{ V/m} \). The expression for the magnetic field variation is :

The figure is showing the technique of gel electrophoresis. The matrix used in this technique is made out of:

Read the following paragraph and answer the given questions.
Bio-fertilisers are organisms that enrich the nutrient quality of the soil like cyanobacteria, while there are organisms that help to control plant diseases and pests. The very familiar beetle, the ladybird and dragonflies are useful to get rid of aphids and mosquitoes, respectively. An example of microbial biocontrol agents that can be introduced to control butterfly caterpillars is certain bacteria, which are available in sachets in the form of dry spores. These spores are mixed with water and sprayed onto vulnerable plants. Trichoderma species that are very common in the root ecosystem, are very effective biocontrol agents of several plant pathogens.Baculoviruses attack insects and other arthropods. Usage of these viruses is desirable when an ecological sensitive area is being treated.
Find the odd one out of the given organisms?

In a p-n junction under equilibrium:

What sum of money is needed to invest now so as to get Rs. 5000 at the beginning of every month forever, if the money is worth 6% per annum compounded monthly?

Given \(p \neq 1\), then \(\int \frac{d x}{x\left(\log _e x\right)^p}\) is equal to: