Kirchhoff's junction rule and loop rule are based on which of the following conservation laws respectively ?

From the following, choose the element for impurity atoms with which pure silicon should be doped to make it a p-type semiconductor:

Arrange the following nuclei in the increasing order of their binding energy per nucleon: \( ^4\text{He}, ^6_3\text{Li}, ^{56}_{26}\text{Fe}, ^{238}_{92}\text{U} \)

In an LC oscillator, \( C = 50 \text{ } \mu\text{F} \) and \( L = 0.08 \text{ H} \) are used. If the resistance of the circuit is negligible, the time period of oscillation is

Choose the correct order for the formation of p-n junction diode.
(A) diffusion current
(B) drift current
(C) formation of space charge region
(D) creation of a barrier potential.

Two long and parallel straight wires A and B carrying currents of 10.0 A and 5.0 A in the same direction are separated by a distance of 5.0 cm. Estimate the force on a 10 cm section of wire A.

There are two electric charges, \( Q_1 \) and \( Q_2 \), placed in vacuum. Identify the correct statements from the following
1. There will be an electrostatic force between them.
2. If these charges are placed in water, the force between them will increase.
3. The electrostatic force between them is a conservative force.
4. If both of the charges are doubled as \( 2Q_1 \) and \( 2Q_2 \), then the force between them will become 4 times.
Choose the correct answer from the options given below:

A telescope has an objective of focal length 30 cm and an eyepiece of focal length 3.0 cm. It is focused on a scale distant 2.0 m. For seeing with relaxed eye, the separation between the objective and eyepiece would be:

Match List-I with List-II

List-I (Formula)	List-II (Physical quantity)
(A) \( neAv_d \)	(I) Mobility
(B) \(\frac{v_d}{E}\)	(II) Current
(C) \(\frac{n e^2 \tau}{m}\)	(III) Conductivity
(D) \(\frac{m}{n e^2 \tau}\)	(IV) Resistivity

Choose the correct answer from the options given below:

The value of \(\int \frac{\cos x d x}{(1+\sin x)(2+\sin x)}\) is :

The atomic mass of \({ }_6^{12} C\) is 12.000000 u and that of \({ }_6^{18} C\) is 13.003354 u . The energy required to remove a neutron from \({ }_6^{13} C\) is
(Given: Mass of neutron is 1.008665 u and \(1 u =931 MeV\) )

A uniform electric field of 20 V m -1 exists in the vertically downward direction. What will be the increase in the electric potential as one goes up through a height of 60 cm?

Answer the question on basis of passage given below :
The noble gases have closed shell electronic configuration and are monatomic gases under normal conditions. The low boiling points of lighter noble gases are due to the weak dispersion forces between the atoms and the absence of other inter atomic interaction. The direct reaction of xenon with fluorine leads to
of compounds with oxidation numbers +2, +4 and +6.
XeF4 reacts violently with water to give XeO3. The compound of Xenon exhibit stereoisomerism and their geometries can be deduced considering the total number of electrons in the valence shell.
Argon is used in arc welding because it has