List of top Questions asked in JEE Main

‘X’ is the nitrogen containing compound which is added to freshly prepared FeSO\(_4\) and dilute H\(_2\)SO\(_4\) to form a brown ring complex ‘Y’.
Identify X and Y.

If the Bohr's radius of H-atom is 52.9 pm and radius of H-like species is 70.53 pm, then chemical species and orbit number are respectively.

0.2M, 500ml MnO\(_4^-\) solution is treated with 1.5M, 500ml KI solution in basic medium. The liberated \(I_2\) required ‘X’M, 300ml hypo solution. The value of ‘X’ is -

Consider given apparatus

For a reaction rate constant (k) is given by
\[ k = A e^{\frac{-E_a}{RT}} \] Calculate activation energy (E\(_a\))

Column-I (Isothermal process)

For a certain decomposition
\[ X_2 Y_4 (g) \rightleftharpoons 2 XY_2 (g) \] Degree of dissociation of \( X_2 Y_4 \) is 75% at 1 bar and 600K. Find \( \Delta G^\circ \) of reaction in kJ/mol\(^{-1}\).

For `C' molar solution of weak electrolyte \( A_xB_y \), dissociation constant is \( K \), then degree of dissociation of \( A_xB_y \) at equilibrium is

Total energy of Hydrogen like species is given as -54.4 eV/atom. The value of 'n' and 'Z' respectively are :

A cylindrical container has radius 40 cm and volume 528 \((\text{dm}^3)\). It is placed on a table of same height as of container. A hole is made 70 cm below from the free surface. Find range of efflux on ground if the container is filled completely.

For a concave mirror of focal length 10cm, magnification is 2 for two positions of an object. Find the distance between these two positions (in cm).

Which of the following is correct outputs for inputs (1, 1) and (0, 1)?

Two particles of the same masses moving initially with velocity \( 4 \hat{i} \) and \( 4 \hat{j} \) m/s respectively.
Acceleration of the first particle is \( 6 \hat{i} + 6 \hat{j} \) and of the second is zero. Find the path of the center of mass of the system.

A block of mass 1 kg moving with velocity varies according to position as \( v = 2x^2 \). If the block goes from \( x = 0 \) to \( x = 5 \), find the work done by the block.

An EM wave has angular frequency \( \omega \).
Propagation constant \( \mathbf{k} \) and electric field vector \( \mathbf{E} \) is given, then \( \mathbf{B} \) can be represented by:

When a mass of 200 gm hangs from the ceiling via spring in equilibrium, the extension in the spring is observed to be 2mm. Find angular frequency of its SHM and energy stored in equilibrium position respectively.

In YDSE, intensity of both coherent sources are \(I_0\). Separation between the two slits is 5 cm and screen is placed at a distance of 50 cm from the slit. Wavelength of light is 6000 \(\text{Å}\). If intensity for a point on the screen is \(I_0\), then find the path difference at point P.

2 moles of monoatomic ideal gas has temperature \(T\) and 6 moles of monoatomic ideal gas has temperature \(2T\). Find the temperature of mixture.

If error in diameter of a sphere is 2%, then find error in volume of the sphere.

A weight \( W \) is connected to one end of a wire and the other end is fixed, length of wire is 1m. Area of cross-section is \( 10^{-5} \, \text{m}^2 \). Graph between change in length and weight is shown. Then calculate Young's modulus.

C = 100 pF, V = 100 V (given spherical capacitor).
Identical capacitor is touched with this capacitor. If change in total energy is α × 10^-7 J then find α = ?
(Combined capacitance = 200 pF)

Find magnetic field at mid point between two parallel infinite wires carrying current of 30 Amp as shown in the figure.

On an incline plane of angle \(45^\circ\), time taken by an object is \(t\) if it is smooth and \(2t\) if it is rough. Find value of \(\alpha\) if friction coefficient is \(\frac{\alpha}{100}\).

Figure shows an adiabatic container which is divided into two equal parts by an adiabatic freely moving piston. Both sides contain same gas having \( \gamma = 1.5 \). If heat is supplied to left part such that its pressure becomes \( \frac{27P_0}{8} \), find volume of right part.