List of top Questions asked in JEE Main

Find out magnitude of work done in the process ABCD (in kJ).

A monoatomic gas is stored in a thermally insulated container. The gas is suddenly compressed to $$\frac{1}{8}$$ of its initial volume. Find the ratio of final pressure to initial pressure.

Water falls from a height of 200 m. What is the increase in temperature when it touches the bottom? (Assume that all the heat goes into the same amount of mass which was falling).

Water falls from a height of 200 m into a pool. Calculate the rise in temperature of the water assuming no heat dissipation from the water in the pool. (Take $ g = 10 \, \text{m/s}^2 $, specific heat of water = 4200 J/(kg K))

A monoatomic gas having $ \gamma = \frac{5}{3} $ is stored in a thermally insulated container and the gas is suddenly compressed to $ \left( \frac{1}{8} \right)^{\text{th}} $ of its initial volume. The ratio of final pressure and initial pressure is:

Match List-I with List-II.

Match the List-I with List-II.

Choose the correct answer from the options given below:

During the melting of a slab of ice at 273 K at atmospheric pressure:

Pressure of an ideal gas, contained in a closed vessel, is increased by 0.4% when heated by $ 1^\circ \text{C} $. Its initial temperature must be :

Match List-I with List-II.

Choose the correct answer from the options given below :

$\gamma_A$ is the specific heat ratio of monoatomic gas A having 3 translational degrees of freedom. $\gamma_B$ is the specific heat ratio of polyatomic gas B having 3 translational, 3 rotational degrees of freedom and 1 vibrational mode. If \[ \frac{\gamma_A}{\gamma_B} = \left( 1 + \frac{1}{n} \right) \] then the value of $ n $ is ___.

Identify the characteristics of an adiabatic process in a monatomic gas. (A) Internal energy is constant. (B) Work done in the process is equal to the change in internal energy. (C) The product of temperature and volume is a constant. (D) The product of pressure and volume is a constant. (E) The work done to change the temperature from $ T_1 $ to $ T_2 $ is proportional to $ (T_2 - T_1) $. Choose the correct answer from the options given below:

Let $ \alpha_1 $ and $ \beta_1 $ be the distinct roots of $ 2x^2 + (\cos\theta)x - 1 = 0, \ \theta \in (0, 2\pi) $. If $ m $ and $ M $ are the minimum and the maximum values of $ \alpha_1 + \beta_1 $, then $ 16(M + m) $ equals:

Let the line $ x + y = 1 $ meet the circle $ x^2 + y^2 = 4 $ at the points A and B. If the line perpendicular to AB and passing through the midpoint of the chord AB intersects the circle at C and D, then the area of the quadrilateral ABCD is equal to:

The number of different 5 digit numbers greater than 50000 that can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, such that the sum of their first and last digits should not be more than 8, is:

Let $ u $ and $ v $ be the distances of the object and the image from a lens of focal length $ f $. The correct graphical representation of $ u $ and $ v $ for a convex lens when $ |u| > f $, is:

Two identical symmetric double convex lenses of focal length $ f $ are cut into two equal parts $ L_1, L_2 $ by the AB plane and $ L_3, L_4 $ by the XY plane as shown in the figure respectively. The ratio of focal lengths of lenses $ L_1 $ and $ L_3 $ is:

Two concave refracting surfaces of equal radii of curvature and refractive index 1.5 face each other in air as shown in figure. A point object O is placed midway, between P and B. The separation between the images of O, formed by each refracting surface is:

A transparent film of refractive index 2.0 is coated on a glass slab of refractive index 1.45. What is the minimum thickness of transparent film to be coated for the maximum transmission of green light of wavelength 550 nm?

A symmetric thin biconvex lens is cut into four equal parts by two planes AB and CD as shown in the figure. If the power of the original lens is 4D, then the power of a part of the divided lens is:

A convex lens (f = 30 cm) is in contact with a concave lens (f = -20 cm). An object is placed on the left side at a distance of 20 cm. Find the image distance.

In a Young's double slit experiment, the source is white light. One of the slits is covered by red filter and another by green filter. In this case,

A concave-convex lens of refractive index 1.5 and the radii of curvature of its surfaces are 30 cm and 20 cm, respectively. The concave surface is upwards and is filled with a liquid of refractive index 1.3. The focal length of the liquid–glass combination will be:

A convex lens of focal length 30 cm is placed in contact with a concave lens of focal length 20 cm. An object is placed at 20 cm to the left of this lens system. The distance of the image from the lens in cm is ____ .

For the determination of refractive index of glass slab, a travelling microscope is used whose main scale contains 300 equal divisions equals to 15 cm. The vernier scale attached to the microscope has 25 divisions equals to 24 divisions of main scale. The least count (LC) of the travelling microscope is (in cm):