List of top Questions asked in JEE Main

A block of mass M slides down on a rough inclined plane with constant velocity. The angle made by the inclined plane with horizontal is θ.The magnitude of the contact force will be

A vessel contains helium, which expands at constant pressure when 15 kJ of heat is supplied to it. The work performed (in kJ) in the expansion will be ______.

In a pond of water, a flame is held 2 m above the surface of water. A fish is at depth of 4 m from water surface. Refractive index of water is $\frac{4}{3}$. The apparent height of the flame from the eyes of fish is:

Find the equivalent resistance between terminal A and B for the given network.

Which of the following is metal compound semiconductor?

Two particles A and B are in motion and the wavelength of A is 5 × 10^-8 m. The wavelength of B, so that its momentum is double that of A, will be:

In the reaction:$BC{l}_3+P{H}_3\rightleftharpoons C{l}_{3}B·P{H}_3$ Lewis base is:

Find the domain for function $$f(x)=[\sin x]\cos \left(\frac{\pi }{[x-1]}\right)$$

In the Bohr model of the hydrogen atom, let R, V and E represent the radius of the orbit, speed of the electron and total energy of the electron respectively. Which of the following quantity is proportional to the quantum number n ?

A body of mass 4 kg is at a height of R (radius of earth) from surface of earth. The weight of the body is ______ N.

A wave on a string is described by $u(x,t)=0.005 \sin (6.28x-314t)$ in which all quantities are in SI units. It's wavelength is _______.

Find out the work done in the following process.

If the function $f(x)=x^3+e^{x/2}$ and $g(x)=f^{-1}$, then the value of $g^{\text{'}}(1)$ is

Let 4^1+x + 4^1-x, \(\frac{k}{2}\), 16^x + 16^-x are in A. P. then least value of k is____

If f(x) = 3ax³ + bx² + cx + 1 and f(1) = 41, f'(1) = 2 and f''(2)= 4, then find (a² + b² + c²).

Decreasing order of the field strength of the following ligands will be: CO, CN^-, Cl^-, H₂O

In a given AC circuit consisting of a resistor R and an inductor L and source emf, two voltmeter V₁ & V₂ are connected as shown. If V₂ = 36 volts then inductance of inductor is (Resistance R is √91Ω.)

A particle oscillates in simple harmonic motion such that its speed and acceleration at distance 2 m from mean position are 4 m/s and 16 m/s² respectively. Find the amplitude of oscillation of the particle.

Bond dissociation energy of $XY,X_2$, and $Y_2$ (all diatomic molecules) are in the ratio of $1:1:0.5$ and $\mathrm{\Delta }{H}_f$ of $XY$ is $-100kJ{mol}^{-1}$. The bond dissociation energy of $X_2$ is $100x.$ The value of $x$ is

Which graph correctly represents the photo current (i) vs stopping potential (Vs) for the same frequency but different intensity? $(here, I_1 › I_2)$

Two persons are pulling a rope towards themselves with a force of 200 N each. If the Young's modulus is 2 x 10¹¹ N/m² and area of cross-section is 2 cm² for the rope, the elongation in the rope is ____.
(distance between the persons holding the ropes is 2 m.)

The angle of polarization of glass is 58° and that for water is 53°. The angle of polarization for glass in water is

if  $∫_{-1}^1 \frac{cos \, \alpha x}{1+3^x} dx = \frac2{\pi} $ then $\alpha$ is

In a clock, second hand and minute hand are of 75 cm and 60 cm respectively. After 30 minutes, ratio of distance travelled by the tip of second hand to that of minute hand is x. Find x.

A cubical arrangement of 12 resistors each having resistance R is shown. Find I.