The magnitude of the magnetic field due to a short bar magnet having a magnetic moment of 0.2 \( \text{Am}^2 \), at a distance of 50 cm from the centre of the magnet on its axial line will be:

An alpha particle is moving in a magnetic field \( (3\hat{i} + 2\hat{j}) \text{ T} \) with the velocity \( (7 \times 10^5 \hat{i}) \text{ m/s} \). The magnetic force acting on the particle is:

Two particles carrying a charge of q = 2 nC each connected by an insulating string are placed r = 1 m apart on a smooth horizontal surface. The tension in the string is

In a transistor :
(A) one of the outer layers is heavily doped and is called collector
(B) one of the outer layers is heavily doped and is called emitter
(C) the middle layer is very lightly doped and is called base
(D) one of the outer layer is moderately doped and is called emitter
(E) one of the outer layer is moderately doped and is called collector
Choose the correct answer from the options given below :

A chain reaction in fission of uranium is possible because

If the wavelength of light in an experiment on photoelectric effect is increased, then
(A) the photoelectric emissions will not take place
(B) the photoelectric emission may or may not take place
(C) the stopping potential will increase.
(D) the stopping potential will decrease
Choose the correct answer from the options given below:

A polythene piece rubbed with wool is found to have a negative charge of \( 8 \times 10^{-10} \, \text{C} \). What is the number of electrons transferred ?

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?

Shyam invested ₹ 2, 00, 000 in 2019 for 5 years.
If the compound annual growth rate (CAGR) for his investment is \(10 \%\), then the end balance of his investment is :

If there are 4 states, represented as L, M, N, O where L is located near the equator, and others are located at 80°N, 71°N, 41°N, respectively. Which one of the following will have least number of bird species?

Observe the figure and answer the following:


How many mitotic divisions occur in the nucleus of the functional megaspore to form embryo sac?

Let A be a non-singular square matrix of order n, then
Match List - I with List - II

List - I	List - II
(A) A (adj A)	(I) \(\frac{1}{|A|}\)
(B) |adj A|	(II) \(|A|^n\)
(C) \(\left|A^{-1}\right|\)	(III) \(|A| I\)
(D) \(|A(\operatorname{adj} A)|\)	(IV) \(|A|^{n-1}\)

Choose the correct answer from the options given below:

If \(A=\left[\begin{array}{ccc}2 & 3 & 1 \\ 2 & -1 & 0\end{array}\right]\) and \(B^T=\left[\begin{array}{cc}4 & 4 \\ 6 & -2 \\ 2 & 0\end{array}\right]\) then \(4 A+B\) is