NTA JEE Mains 6th April Shift 2 2026

For an electromagnetic wave propagating through vacuum, $$\vec{k}$$, $$\vec{E}$$ and $$\omega$$ represent propagation vector, electric field and angular frequency, respectively. The magnetic field associated with this wave is represented by :

Two identical bodies A and B of equal masses have initial velocities $$\vec{v_1} = 4\hat{i}$$ m/s and $$\vec{v_2} = 4\hat{j}$$ m/s respectively. The body A has acceleration $$\vec{a_1} = 6\hat{i} + 6\hat{j}$$ m/s$$^2$$ while the acceleration of the other body B is zero. The centre of mass of the two bodies moves in __________ path.

Figure represents the extension ($$\Delta l$$) of a wire of length 1 meter, suspended from the ceiling of the room at one end with a load W connected to the other end. If the cross-sectional area of the wire is $$10^{-5}$$ m$$^2$$ then the Young's modulus of the wire is __________ N/m$$^2$$.

A cylindrical vessel of 40 cm radius is completely filled with water and its capacity is 528 dm$$^3$$ (dm : decimeter). The vessel is placed on a solid block of exactly same height as vessel. If a small hole is made at 70 cm below the top of water level, then horizontal range of water falling on the ground in the beginning is __________ cm.

If 2 mole of an ideal monoatomic gas at temperature $$T$$, is mixed with 6 mole of another ideal monoatomic gas at temperature $$2T$$ then the temperature of mixture is :

A spring stretches by 2 mm when it is loaded with a mass of 200 g. From equilibrium position the mass is further pulled down by 2 mm and released. The frequency associated with the system and maximum energy in the spring are __________ Hz and __________ J, respectively. (Take $$g = 10$$ m/s$$^2$$)

The electric potential as a function of $$x, y$$ is given by $$V = 5(x^2 - y^2)$$ V. The electric field at a point $$(2, 3)$$ m is __________ V/m.

A current of 30 A each flows in opposite directions in two conducting wires, placed parallel to each other at a distance of 8 cm. The magnetic field at the mid point between the two wires is __________ $$\mu$$T. ($$\dfrac{\mu_0}{4\pi} = 10^{-7}$$ N/A$$^2$$)

A square loop of side 2 cm is placed in a time varying magnetic field with magnitude as $$B = 0.4 \sin(300t)$$ Tesla. The normal to the plane of loop makes an angle of $$60°$$ with the field. The maximum induced emf produced in the loop is __________ mV.

A sphere of capacitance 100 pF is charged to a potential of 100 V. Another identical uncharged metal sphere is brought in contact with the charged sphere, then the change in the total energy stored on these spheres, when they touch is $$\alpha \times 10^{-7}$$ J. The value of $$\alpha$$ is __________. (combined capacitance of spheres is 200 pF)