An electron placed in a magnetic field of \( 3.14 \times 10^{-4} \, \text{T} \) moves in a circle. The frequency of the revolution of the electron is:

'n' identical small drops are charged to V volt each. They coalesce to form a bigger drop. The potential of the bigger drop will be:

Which of the following statements is not correct for electromagnetic induction?

Two identical metal balls, A and B, with similar charges Q are suspended with insulating threads. They repel each other with a force F. Another identical uncharged metal ball C is first touched with metal ball A and then touched with metal ball B and finally removed. The new force of repulsion between A and B will be

Two positive point charges of \(q_1=0.2 \mu C\) and \(q_2=0.01 \mu C\) are placed \(r_i=10 cm\) apart. The work done in reducing the distance to \(r_f=5 cm\) will be

A rod AB moves with uniform velocity v in a uniform magnetic field as shown in the figure. Identify the correct statement(s) among the following:

(A) Rod becomes electrically charged.
(B) End A becomes positively charged.
(C) End B becomes positively charged.
(D) Rod becomes hot due to joule's heating.
Choose the correct answer from the options given below:

The critical angle for light ray going from medium-1 to medium-2 is \(i_c\). What will be the speed of light in medium-2, if its value in medium-1 is \(u\) ?

Given below are two statements:
Statement I : There is a need to translate the original low frequency base band signal into high radio frequency before transmission
Statement II : To transmit a signal an antenna is required. As frequency increases size of antenna decreases.
In the light of the above statements, choose the most appropriate answer from the options given below.

For \(y=x e^x\), which of the following is correct ?

The correct interpretation of Ohm's law is : (Here, \( \vec{J} \) is current density, '\( \sigma \)' is conductivity, \( \vec{E} \) is electric field and '\( \rho \)' is resistivity)

Read the given passage carefully and answer the questions
Antibiotics have greatly improved our capacity to treat deadly diseases such as plague, whooping cough (kali khansi), diphtheria (gal ghotu) and leprosy (kusht rog), which used to kill millions all over the globe.
Streptokinase produced by the bacterium Streptococcus and modified by genetic engineering is used as a 'clot buster' for removing clots from the blood vessels of patients who have undergone myocardial infarction leading to heart attack. Microbes are diverse-protozoa, bacteria, fungi and microscopic animal and plant viruses, viroids and also prions that are proteinacious infectious agents. The puffed-up appearance of dough is due to the production of CO₂ gas. Similarly the dough, which is used for making bread, is fermented using baker's yeast (Saccharomyces cerevisiae). Primary sewage treatment basically involve physical removal of particles - large and small from the sewage through filtration and sedimentation. These are removed in stages; initially, floating debris is removed by sequential filtration. Then the grit (soil and small pebbles) are removed by sedimentation. All solids that settle form the primary sludge, and the supernatant forms the effluent. The effluent from the primary settling tank is taken for secondary treatment. The primary effluent is passed into large aeration tanks, where it is constantly agitated mechanically and air is pumped into it. This allows vigorous growth of useful aerobic microbes into flocs. While growing, these microbes consume the major part of the organic matter in the effluent.
Prions are made up of :

Arrange the following as per statistical inferences :
(A) Data Analysis
(B) Population
(C) Making Inferences
(D) Data Collection
Choose the correct answer from the options given below :

In the 3d series of transition elements, the element more likely to exhibit +1 oxidation state is :