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One mole of an ideal monoatomic gas undergoes a process as shown in the figure. Find the molar specific heat of the gas in the process ($R$ is a gas constant).

Area is a vector quantity. How?

A particle is subjected to two SHMs of displacement $x_1=5\sin \left(\omega t\right)$ and $x_2=3\sin (\omega t+{60}^{\circ })$ respectively. Find out the equation of displacement of the resulting SHM.

Two metal spheres of capacitance $C_1$ and $C_2$ carry some charges. They are put in contact and then separated. The final charge $Q_1$ and $Q_2$ on them will satisfy

A wheel rotates with a constant acceleration of 2.0 $\frac{rad}{s^2}$. If the wheel starts from rest, how many revolutions will it make in the first 10 seconds?

The motion of a particle along a straight line is described by the function $x=(2t-3{)}^2$ where $x$ is in meters and $t$ is in seconds. Find the velocity of the particle at the origin.

From a spherical mirror, 3 separate concave mirrors are cut out and placed as shown. Find the total number of images of the sun that is formed by the setup.

An automobile moves on a road with a speed of $54km{h}^{-1}$. The radius of its wheel is $0.45m$ and the moment of inertia of the wheel about its axis of rotation is $3kg{m}^2$. If the vehicle is brought to rest in $15s$, the magnitude of average torque applied by its brakes to the wheels is

Arjun decided to extend Oersted's experiment. He took two conducting wires and attached them to the battery so that current was flowing in the same direction in both of them. He noticed that wires were getting attracted towards each other. What could have been the cause of this attraction?

A winding wire which is used to frame a solenoid can bear a maximum 10 A current. If length of solenoid is 80cm and it's cross sectional radius is 3 cm then required length of winding wire is (B=0.2T)

A uniform electric field $E$ is created between two parallel and oppositely charged plates as shown in figure. An electron enters the field symmetrically between the plates with a speed $v_0$. The length of each plate is $l$. Find the angle of deviation (which is given by $\theta$ in the figure) of the path of the electron as it comes out of the field interms of mass of electron $m$ and charge of the electron $e$. (Acceleration due to gravity can be neglected)

If the capillarity rise in two tubes containing same liquid and made of same material are $6.6\text{cm}$ and $2.2\text{cm}$, then the ratio of the radii of the tubes is

Write the negation
of the following statements:

(i) Chennai
is the capital of Tamil Nadu.

(ii) is
not a complex number.

(iii) All
triangles are not equilateral triangle.

(iv) The
number 2 is greater than 7.

(v) Every
natural number is an integer.

Which of the following transitions in a hydrogen atom, will emit photon of highest frequency?

The contrast in the fringes in any interference pattern depends on:

A man is holding a sound source at the top of a tower, whicj emits sound of frequency $1000\text{Hz}$. Suddenly. it slips from his hand and falls down with acceleration $g$. The frequency of sound heard by the man at $t=4\text{sec}$ is:



[Velocity of sound in still air $=320\text{m/s},g=10{\text{m/s}}^2$]

What is the velocity of the bob of a simple pendulum at its mean position, if it is able to rise to a maximum vertical height of $40\text{cm}$.

(Take $g=9.8{\text{m/s}}^2$)

A block of mass 2kg is released from A on the track that is one quadrant of a circle of radius 1m. It slides down the track and reaches B with a speed of and finally stops at C at a distance of 3m from . The work done against the force of friction is

if on the x-axis electric potential decreases uniformly from 60V to 20V between x= -2m to x= 2m, then the magnitude of electric field at the origin

If a body moving in a straight line travels from position $x=-6\text{m}$ to $x=+4\text{m}$ in $4\text{s}$, considering origin at $x=0$. What is the average speed of body in the journey?

In the figure given below, with what acceleration does the block of mass $m$ will move? (Pulley and strings are massless and frictionless)

The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle $\theta$ should be

(IIT JEE 2001)

Find the final potential across the two capacitors, if the initial conditions is as shown below.

The degree of freedom of a gas is $6$. Gas can be

Consider the situation shown in figure. If the lines are drawn in proportion to the charge, what is the ratio $\frac{|q_1|}{|q_2|}$ ?

Which of the following graphs are related to a mass m attached to spring performing SHM? Symbols have their usual meaning.

The instantaneous values of current and emf in an ac circuit are $I=\frac{1}{\sqrt{2}}sin$ 314tamp and $E=\sqrt{2}sin(314t-\frac{\Pi }{6})$V respectively. The phase difference between E and I will be

When radiation is incident on a photoelectron emitter, the stopping potential is found to be 9 volts. If e/m for the electron is $1.8\times {10}^{11}Ck{g}^{-1}$ the maximum velocity of the ejected electrons is

A capacitor is half filled with a dielectric of dielectric constant $K=2$ as shown in figure -A. If the same capacitor has to be filled with same dielectric as shown in figure B, What would be the thickness of dielectric such that capacitor still has the same value of capacitance.

Three rods of same dimensions have thermal conductivities $3\text{K}$, $\text{2K}$ and $\text{K}$. They are arranged as shown in the figure, with their ends at ${100}^{\circ }\text{C},{50}^{\circ }\text{C}$ and $0^{\circ }\text{C}.$ The temperature of their junction point is: