NTA JEE Mains 23rd Jan 2026 Shift 1 - Physics

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R)
Consider a ferromagnetic material :
Assertion (A) : The individual atoms in a ferromagnetic material possess a magnetic dipole moment and interact with one another in such a way that they spontaneously align themselves forming domains.
Reason (R): At high enough temperature, the domain structure of ferromagnetic material disintegrates. Thus, magnetization will disappear at high enough temperature known as Curie temperature.
In the light of the above statements, choose the correct answer from the options given below :

The following diagram shows a Zener diode as a voltage regulator. The Zener diode is rated at $$V_{z}=5V$$ and the desired current in load is 5 mA. The unregulated voltage source can supply upto 25 V. Considering the Zener diode can withstand four times of the load current, the value of resistor $$R_{s}$$ (shown in circuit) should be ____ Ω .

Two small balls with masses m and 2m are attached to both ends of a rigid rod of length d and negligible mass. If angular momentum of this system is L about an axis (A) passing through its centre of mass and perpendicular to the rod then angular velocity of the system about A is :

The moment of inertia of a square loop made of four uniform solid cylinders, each having radius R and length L (R<L) about an axis passing through the mid points of opposite sides, is (Take the mass of the entire loop as M) :

In hydrogen atom spectrum, (R ➔ Rydberg's constant)
A. the maximum wavelength of the radiation of Lyman series is $$\frac{4}{3R}$$
B. the Balmer series lies in the visible region of the spectrum
C. the minimum wavelength of the radiation of Paschen series is $$\frac{9}{R}$$
D. the minimum wavelength of Lyman series is $$\frac{5}{4R}$$
Choose the correct answer from the options given below :

The de Broglie wavelength of an oxygen molecule at $$27^{\circ}C\text{ is }x\times10^{-12}m$$. The value of x is (take Planck's constant $$=6.63\times10^{-34}J.s$$, Boltzmann constant $$=1.38\times10^{-23}J/K$$, mass of oxygen molecule $$=5.31\times10^{-26}kg$$)

A simple pendulum of string length 30 cm performs 20 oscillations in 10 s. The length of the string required for the pendulum to perfo rm 40 oscillations in the same time duration is _________cm. [Assume that the mass of the pendulum remains same.]

A small bob A of mass m is attached to a massless rigid rod of length 1 m pivoted at point P and kept at an angle of 60° with vertical as shown in figure. At distance of 1 m below point P, an identical bob B is kept at rest on a smooth horizontal surface that extends to a circular track of radius R as shown in figure. If bob B just manages to complete the circular path of radius R upto a point Q after being hit elastically by bob A, then radius R is ____ m.

A wire of uniform resistance $$\lambda$$Ω/m is bent into a circle of radius r and another piece of wire with length 2r is connected between points A and B (AOB) as shown in figure. The equivalent resistance between points A and B is ____Ω .

Two point charges 2q and q are placed at vertex A and centre of face CDEF of the cube as shown in figure. The electric flux passing through the cube is :

In a screw gauge, the zero of the circular scale lies 3 divisions above the horizontal pitch line when their metallic studs are brought in contact. Using this instrument thickness of a sheet is measured. If pitch scale reading is 1 mm and the circular scale reading is 51 then the correct thickness of the sheet is_____ mm.
[Assume least count is 0.01 mm]

Four persons measure the length of a rod as 20.00 cm, 19.75 cm, 17.01 cm and 18.25cm. The relative error in the measurement of average length of the rod is :

Consider light travelling from a medium A to medium B separated by a plane interface. If the light undergoes total internal reflection during its travel from medium A to B and the speed of light in media A and B are $$2.4\times10^{8}m/s\text{ and }2.7\times10^{8}m/s$$ respecti vely, then the value of critical angle is :

An object is projected with kinetic energy K from a point A at an angle 60° with the horizontal The ratio of the difference in kinetic energies at points B and C to that at point A (see figure), in the absence of air friction is :

Matd1 List - I with List - II.
atd1 List - I with List - II.
List - I List - II
Relation Law
A. $$\oint\overrightarrow{E}.\overrightarrow{dl}=-\frac{d}{dt}\oint\overrightarrow{B}.\overrightarrow{da}$$ I. Ampere's circuital law
B. $$\oint\overrightarrow{B}.\overrightarrow{dl}=\mu_{\circ}\left(I+\epsilon_{\circ}\frac{d\phi_{E}}{dt}\right)$$ II. Faraday's laws of electromagnetic induction
C. $$\oint\overrightarrow{E}.\overrightarrow{da}=\frac{1}{\epsilon_{\circ}}\int_{v}^{} \rho dv$$ III. Ampere - Maxwell law
D. $$\oint\overrightarrow{B}.\overrightarrow{dl}=\mu_{\circ}I$$ IV. Gauss's law of electrostatics
Choose the correct answer from the options given below :

A 20 m long uniform copper wire held horizontally is allowed to fall under the gravity $$(g=10m/s^{2})$$ through a uniform horizontal magnetic fie ld of 0.5 Gauss perpendicular to the length of the wire. The induced EMF across the wire when it travells a vertical distance of200 m is ____ mV.

Two blocks with masses 100 g and 200 g are attached to the ends of springs A and B as shown in figure. the energy stored in A is E. The energy stored in B, when spring constants $$K_{A},K_{B}$$ of A and B, respectively satisfy the relation $$4K_{A}=3K_{B}$$ is:

A thin prism with angle 5° of refractive index 1.72 is combined with another prism of refractive index 1.9 to produce dispersion w ithout deviation. The angle of second prism is ____ .

In a perfectly inelastic collision, two spheres made of the same material with masses 15 kg and 25 kg, moving in opposite directions with speeds of 10 m/s and 30 m/s, respectively, strike each other and stick together. The rise in temperature (in $$^{\circ}C$$), if all the heat produced during the collision is retained by these spheres, is :
(specific heat of sphere material 31 cal/kg.$$^{\circ}C$$ and 1 cal =4.2 J)

The strain-stress plot for materials A, B, C and D is shown in the figure. Which material has the largest Young's modulus?

A simple pendulum made of mass 10 g and a metallic wire of length 10 cm is suspended vertically in a uniform magnetic field of 2 T. The magnetic field direction is perpendicular to the plane of oscillations of the pendulum. If the pendulwn is released from an angle of 60° with vertical, then maximum induced EMF between the point of s uspension and point of oscillation is ______mV (Take $$g= 10 m/s^{2}$$)

The equation of the electric field of an electromagnetic wave propagating through free space is given
by: E=$$\sqrt{377}$$ $$\sin(6.27\times10^{3}t-2.09\times 10^{-5}x)N/C$$
The average power of the electromagnetic wave is $$\left(\frac{1}{\alpha}\right)W/m^{2}$$. The value of $$\alpha$$ is______
$$\left(Take \sqrt{\frac{\mu_{\circ}}{\epsilon_{\circ}}}=377 in SI units \right)$$

In two separate Young's double-slit experimental set-ups and two monochromatic light sources of different wavelengths are used to get fringes of equal width. the ratios of the slits separations and that of the wavelengths of light used are 2: 1 and 1 : 2 respectively. The corresponding ratio of the distances between the slits and the respective screens $$(D_{1}/D_{2})$$ is ______.

The space between the plates of a parallel plate capacitor of capacitance C (without any dielectric) is now filled with three dielectric slabs of dielectric constants $$K_{1}=2,K_{2}=3\text{ and } K_{3}=5$$ (as shown in figtue). lf new capacitance is $$\frac{n}{3}C$$ then the value of n is_____.

Using a variable frequency a.c. voltage source the maximum current measured in the given LCR circuit is 50 mA for V= 5 sin(100t) The values of L and R are shown in the figure. The capacitance of the capacitor (C) used is ____ µF.