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A thin layer of water in a field is formed after a farmer has watered it. The ambient air conditions are:

temp. ${20}^{\circ }C$ and relative humidity 5 %.

An extract of steam tables is given below.

When one of the slits in Young's experiment is covered with a transparent sheet of thickness $3.6\times {10}^{-3}$ cm the central fringe shifts to a position originally occupied by the 30th brigth fringe. If $\lambda =6000A,$ the refractive index of the sheet is

In a practical meter bridge setup, resistance and null point are as shown





Assuming end correction at $\text{A}$ and $\text{B}$ are equal, calculate end correction at $\text{A}$.

A hollow cylindrical wire carries a current $I$, having inner and outer radii $R$ and $2R$ respectively. Magnetic field at a point which $\frac{3R}{2}$ distance away from its axis is

A nucleophile is:

If Sameer moves from point $A$ having position vector $3\hat{i}+2\hat{j}+5\hat{k}$ to point $B$ having position vector $6\hat{i}+3\hat{j}+7\hat{k}$, what is his displacement vector?

Fractional change in the radius of a sphere of bulks modulus $B$, when it is compressed by pressure $P$ from all sides is

Consider the transistor circuit shown in the figure below .







Assume the transistor is biased in saturation region with $g_m=5mA/V.$

Then the value of input resistance $R_{in}$ is equal to

Two trains A and B, $100m$ and $60m$ long respectively, are moving in opposite directions on parallel tracks. The velocity of the shorter train is $5$ times that of the longer one. If the trains take $2s$ to cross each other, the velocity of the shorter train is

For the given spherical Gaussian surface around a point charge $+q$ placed at its centre, angle between electric field $\overrightarrow{E}$ and area vector $\overrightarrow{A}$ at the surface is

A Carnot engine absorbs an amount Q of heat from a reservoir at an abosolute temperature T and rejects heat to a sink at a temperature of $\frac{T}{3}$. The amount of heat rejected is

For the given system of mirrors, the image formed after two reflections is on the source $S$ itself. Then, the distance between the two mirrors is (Take first reflection from mirror $M_2$)

What will be the equivalent resistance of circuit shown in figure between two points A and D?

Three $2\Omega$ resistors, $A,B$ and $C$ are connected as shown in the figure. Each of them can withstand a maximum power of $18\text{W}$ without melting. Find the maximum current that can flow through the given section of a circuit.

An inductance of 1 mH a condenser of $10\mu F$ and a resistance of $50\omega$ are connected in series. The reactance of inductor and condensers are same. The reactance of either of them will be

A series R-C circuit is connected to an alternating voltage source. Consider two situations:

(a) When capacitor is filled with air

(b) When capacitor is filled with mica

Current through resistor is $i$ and voltage across capacitor is $V_a$ in case (a) and $V_b$ in case (b), then

As given in the figure, a series circuit connected across a $200\text{V}$, $60\text{Hz}$ line consists of a capacitor of capacitive reactance $30\Omega$, a non-inductive resistor of $44\Omega$ and a coil of inductive reactance $90\Omega$ and resistance $36\Omega$. The power dissipated in the coil is





​​​​​​​$[$1 Mark$]$

In the HCl molecule, the separation between the nuclei of the two atoms is about $1.27\stackrel{\circ }{A}$ $(1\stackrel{\circ }{A}={10}^{-10}m)$. Find the approximate location of the CM of the molecule, given that a chlorine atom is about 35.5 times as massive as a hydrogen atom and nearly all the mass of an atom is concentrated in its nucleus.

An
oil drop of 12 excess electrons is held stationary under a constant
electric field of 2.55 × 10⁴
N C⁻¹
in Millikan’s oil drop experiment. The density of the oil is
1.26 g cm⁻³.
Estimate the radius of the drop. (g =
9.81 m s⁻²;
e =
1.60 × 10⁻¹⁹
C).

A particular station of All India Radio, New Delhi broadcasts on a frequency of $1,368kHz$ (kilohertz). The wavelength of the electromagnetic radiation emitted by the transmitter is : [speed of light $c=3.0\times {10}^{8}m{s}^{–1}$]

A beam of light consisting of red, green and blue colours is incident on an isosceles right angled prism as shown in the figure .The refractive indices of the material of the prism for red, green and blue colours are 1.39,1.43 and 1.47 respectively. The prism will

A ball of mass $m$ is moving with a velocity $v$ towards a rigid vertical wall. After striking the wall, the ball gets deflected by an angle $\theta$ without any change in its speed. The impulse imparted to the ball will be

1. 16

A vertical bar magnet is dropped from position on the axis of a fixed metallic coil as shown in fig-I. In fig-II the magnet is fixed and horizontal coil is dropped. The acceleration of the magnet and coil are $a_1$ and $a_2$ respectively then

Find the equivalent capacitance of the combination between points $\text{P}$ and $\text{Q}$.

A neutron moving witha speed v strikes a hydrogen atom in ground state towards it with the same speed. Find the minimum speed of the neutron for which inelastic (completly or partially) collision may take place. The mass of neutron = mass of hydrogen = $1.67\times {10}^{-27}kg$

A square loop ABCD, carrying a current $i$, is placed near and coplanar with a long straight conductor XY carrying a current $I$, the net force on the loop will be

In the figure shown , the acceleration of $\text{A}$ is ${\overrightarrow{a}}_A=(15\hat{i}+15\hat{j}){\text{m/s}}^2$ and block $\text{A}$ remains in contact with wedge $\text{B}$. The acceleration of $\text{B}$ $\left(\text{in}{\text{m/s}}^2\right)$ will be.