E and V, respectively, denote electric field intensity and electrostatic potential at a point. The correct relation between the two is

If a copper rod carries a direct current, the magnetic field due to it will be:

A capacitor of capacitance C is first charged by a battery of V volts. It is disconnected from the battery and is filled with a dielectric of dielectric constant K. The ratio of energy stored in the two cases, respectively will be

Arrange the following in the increasing order of their energy band gap
(A) Si
(B) Ge
(C) C
(D) Sn
Choose the correct answer from the options given below:

The velocity and acceleration vectors of a particle moving in a magnetic field are given by : \(\vec{v}=3 \hat{i}+4 \hat{j}\) and \(\vec{a}=2 \hat{i}+\hat{j}\) respectively, Then :
(A) the magnetic field is along \(z\)-direction
(B) \(v=3\)
(C) the kinetic energy of the particle is constant
(D) the acceleration is in x-z plane
(E) the particle is moving in \(x-y\) plane

The sensitivity of a moving coil galvanometer can be increased by decreasing

A circuit containing a \( 80 \text{ mH} \) inductor and a \( 60 \mu\text{F} \) capacitor in series is connected to a \( 200 \text{ V, 50 Hz} \) supply. The resistance of the circuit is negligible. The average power (average over one cycle) transferred to capacitor is:

Nitration of aniline with nitric acid and sulphuric acid gives major product as

Read the passage carefully and answer the questions
Amines are considered as derivatives of ammonia obtained by replacement of hydrogen atoms with alkyl or aryl groups. In nature they occur among proteins, vitamins, alkaloids and hormones. These can be primary, secondary or tertiary depending on the number of hydrogen groups replaced. They can be prepared from nitro compounds, alkyl halides, nitriles, amides etc. Due to unshared pair of electrons they behave as Lewis bases. Influence of the number of hydrogen atoms at nitrogen atom is displayed in physical properties such as solubility, boiling point and chemical reactions including basicity. Basic character of amines is expressed in terms of their \(K_b\) and \(p K_b\) values. Three classes of amines can be distinguished with p-toluene sulphonyl chloride which reacts with primary and secondary ddu amines. Amino group when attached to benzene ring behaves as an activating and ortho para directing group.
Which of the following is a tertiary amine?

Read the paragraph given below and answer the question.
Sutton and Boveri argued that the pairing and separation of a pair of chromosomes would lead to the segregation of a pair of factors they carried. Sutton united the knowledge of chromosomal segregation with Mendelian principles and called it the chromosomal theory of inheritance. Following this synthesis of ideas, experimental verification of the chromosomal theory of inheritance by Thomas Hunt Morgan and his colleagues, led to discovering the basis for the variation that sexual reproduction produced. Morgan worked with the tiny fruit files, which were found very suitable for such studies. They could be grown on simple synthetic medium in the laboratory. They complete their life cycle in a short span of time and a single mating could produce a large number of progeny flies. Also, there was a clear differentiation of the sexes - the male and female flies are easily distinguishable. Also, it has many types of hereditary variations that can be seen with low power microscopes.
Drosophila melanogaster complete their life cycle in

Identify the correct expression of Arrhenius equation :

A boat covers a distance of 51 km downstream in 3 hours and takes \(7 \frac{2}{7}\) hours to cover the same distance upstream. If the boat's speed in still water is \(12\) km / hrs, then the speed of the stream is:

The depletion layer has large electrical resistance because: