A p-n junction can act basically as

An electron having charge \( 1.6 \times 10^{-19} \text{ C} \) and mass \( 9 \times 10^{-31} \text{ kg} \) is moving with \( 4 \times 10^6 \text{ m/s} \) speed in a magnetic field \( 2 \times 10^{-1} \text{ T} \) in a circular orbit. The force experienced by the electron and the radius of the circular orbit, respectively will be:

Which of the following statements are correct?
(A) Kirchhoff's loop rule represents energy conservation.
(B) Resistivity is a property of the material and depends on temperature.
(C) The electrical conductivity of the material does not depend on the material of the conductor and its temperature.
(D) The emf of a battery equals the potential difference between its terminals when the terminals are connected externally.
Choose the correct answer from the options given below:

A displacement current of 1.0 A is established in the space between the two parallel plates of 1 \( \mu\text{F} \) capacitor. The rate of change of voltage across the capacitor is:

A vertical electric field of magnitude \( 4.9 \times 10^5 \text{ NC}^{-1} \) just prevents a water droplet of mass \( 0.1 \text{ g} \) from falling. What is the charge on the droplet? Take acceleration due to gravity \( 9.8 \text{ ms}^{-2} \).

If the focal length of an objective lens is decreased, then the magnifying power of :

A moving coil galvanometer has N number of turns in the coil with area A. It carries a current I and the magnetic field is B. The torque acting on the coil is :

The correct expression of the rate of the reaction according to the collision theory is:

In a common emitter transistor amplifier current gain is 9 and resistance gain is 20. The voltage gain will be :

If cell constant doubles and resistance of cell is halved, what will be new resistivity?

Match (List I) with (List II)

(List I)	(List II)
A. For any vector \(\vec{a}, \vec{a} \times \vec{a}\)	\(I\). \(|\vec{a}|^2\)
B. For any vector \(\vec{a}, \vec{a} \cdot \vec{a}\)	\(II.\) \(0\)
C. If either \(\vec{a}=\overrightarrow{0}\) or \(\vec{b}=\overrightarrow{0}\), then \(\vec{a} \cdot \vec{b}\) is	\(III.\) \(|\vec{a}||\vec{b}|\)
D. If the angle between \(\vec{a}\) and \(\vec{b}\) is \(\theta=0\), then \(\vec{a} \cdot \vec{b}\) is	\(IV.\) \(\overrightarrow{0}\)

Choose the correct answer from the options given below:

If \(x=e^{\cos 2 t}, y=e^{\sin 2 t}\), then \(\frac{d y}{d x}\) equals to

Read the given paragraph and answer the question:
Humans have 23 pairs of chromosomes. 22 pairs are exactly same in both males and females; these are the autosomes. A pair of X-chromosome are present in the female, whereas the presence of an X and Y chromosome are determinant of the male characteristic.
A number of disorders in human beings have been found to be associated with the inheritance of changed or altered genes or chromosomes. Broadly, genetic disorder may be grouped into two categories-Mendelian disorders and Chromosomal disorders.
A haemophilic man marries a normal woman. What is the possibility that their child have haemophilia?