NTA JEE Mains 5th April Shift 2 2026 - Physics

Match the List I With List II:

Where (Plank's constant), G(gravitational constant) and c (speed of light in vacuum) as fundamental units.
Choose the  correct answer from the options given below:

In an experiment to determine the resistance of a given wire using Ohm’s law, the voltmeter and ammeter readings are noted as $$10 V$$ and $$5 A$$, respectively. The least counts of voltmeter and ammeter are $$500 mV$$ and $$200 mA$$, respectively. The estimated error in the resistance measurement  is_______Ω.

A mass of 1 kg is kept on a inclined plane with 30° inclination with respect to horizontal plane and it is at rest initially. Then the whole assembly is moved up with constant velocity of 4 m/s. The work done by the frictional force in time 2 s is ________ J. (Take g = 10 m/s²)

The velocity (v) versus time (t) plot of a particle is shown in the figure, for a time interval of 40 s. The total distance travelled by the particle and the and the average velocity during this period are, respectively___________, 

A wheel initially at rest is subjected to a uniform angular acceleration about its axis. In the first 2 s  it rotates through an angle $$\theta_1$$. In the next 2 s it rotates through an angle $$\theta_2$$. Then ratio $$\frac{\theta_2}{\theta_1}$$ is :

An object of uniform density rolls up a curved path with the initial velocity $$v_{\circ}$$ as shown in the figure. If the maximum height attained by an object is  $$\frac{7v_0^2}{10g}$$. (g = acceleration due to gravity), The object is a :

A body of mass $$m$$ is taken from the surface of the earth to a height equal to twice the radius of earth$$(R_e)$$. The increase in potential energy will be  :
(g is acceleration due to gravity at the surface of earth) 

Eight mercury drops, each of radius $$r$$ coalesce to form a bigger  drop. The surface energy released in this process is_________ .
( S is the surface tension of mercury).

An ideal gas at pressure $$P$$ and temperature $$T$$ is expanding such that $$PT^3 = \text{constant}$$. The coefficient of volume expansion of the gas is :

Match the List I with List II:

Choose the correct answer from the options given below: 

A metal rod of length $$L$$ rotates about one end at origin with a uniform angular velocity $$\omega$$. The magnetic field radially falls off as $$B(r) = B_0 e^{-\lambda r}$$. $$\lambda$$ being a positive constant. The EMF induced (neglecting the centripetal force on electrons in the rod) is :

Under steady state condition the potential difference across the capacitor in the circuit is________  V.

A particle of charge $$q$$ and  mass $$m$$ is projected  from origin with an initial velocity has  $$\vec{v} = \frac{v_0}{\sqrt{2}}\hat{x} + \frac{v_0}{\sqrt{2}}\hat{y}$$.There exists a uniform magnetic field  $$\vec{B} = B_0\hat{z}$$ and a space varying electric field  $$\vec{E} = E_0 e^{-\lambda x}\hat{x}$$ within the region $$0 \leq x \leq L$$.After travelling a distance such that x-coordinate has changed from $$x=0$$ to $$x=L$$,the change in the  kinetic energy  is_________.

Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A): The Electromagnetic waves exert pressure on the surface on which they ar allowed to fall.

Reason (R): There is no mass associated with the electromagnetic waves.
In the light of the above statements,  Choose the correct answer from the options given below :

A thin convex lens and a thin concave lens are kept in  contact and are co-axial. Which of the following statements is correct for this combination of two lenses ?

An object AB is placed 15 cm to the left of a convex lens P of focal length $$10 cm$$. Another convex lens Q is now placed $$15 cm$$ right of lens P . If the focal length of lens Q is 15 cm,  final image is______.

The maximum intensity in a Young's double slit experiment is $$I_{\circ}$$, distance between the slit(d) is  $$5\lambda$$,where $$\lambda$$ is the wavelength of light used the intensity of the fringe, exactly  exactly opposite to one of the slits on the screen, placed at $$D = 10d$$ is_________.

An electron is travelling with a velocity $$v$$ in free space and when it enters a medium, its velocity is reduced by 20%. The de Broglie wavelength of electron in the medium is $$\alpha \lambda_0$$.where $$\lambda_0$$ is its de Broglie wavelength in free space. The value of $$\alpha$$ is :

Assuming the experimental mass of $$^{12}_{6}C$$ as 12 u, The mass defect of $${}^{12}\text{C}$$ atom is (in MeV/$$c^2$$) :
(Mass of proton  = 1.00727 u, mass of neutron = 1.00866 u, 1 u = 931.5$$ $$MeV/$$c^2$$ and c is the speed of the light in vacuum).

In a semiconductor p-n  diode, the doping concentrations on p-side has $$10^{15}$$ atoms/cm³ and the n-side has $$10^{18}$$ atoms/cm³respectively.  Which one of the following statements is true?

A copper wire of length 3 m is stretched by 3 mm by applying an external force. The volume of the wire is $$600 \times 10^{-6}$$ m³. The elastic potential energy stored in the wire in stretched condition would be _______  J :
(Given Young's modulus of copper $$ = 1.1 \times 10^{11}$$ N/m²)

The heat extracted out of x gram of water initialy at  $$50°$$C to  cool it down to $$0°$$C is sufficient to evaporate  $$(1000 - x)$$ gram  of water also initialy at $$50°$$C. The value of $$x$$ (closest integer) is_______.  (Take Latent heat of water  $$L = 2256$$ kJ/kg K, specific heat capacity of water $$c = 4200$$ J/kg·K)

In a series LCR circuit with , $$R = 20\,\Omega$$, $$L = 1.6$$ H, $$C = 40\,\mu$$F is connected to a variable frequency a.c. source.  The inductive reactance at resonant frequency is ____________ $$\Omega$$.

When an external resistance of $$5\,\Omega$$ is connected across terminals of a cell,  a current of $$0.25$$ A flow through it. When the $$5\,\Omega$$ resistor is replaced by a  $$2\,\Omega$$ resistor, a current of $$0.5$$ A flow through it. The internal resistance of the cell is________ $$\Omega$$.

A circular loop of radius $$r = 20$$ cm and resistance $$R = 2\,\Omega$$ is placed in a time varying  magnetic field $$B = (2t^2 + 2t + 3)$$ T. At $$t = 0$$, for the plane of the loop being perpendicular to the magnetic field and, The induced current in the loop  at $$t = 3$$ s is $$\frac{\alpha}{50}$$ A. The value of $$\alpha$$ is__________.
(Take $$\pi = 22/7$$)