NTA JEE Mains 5th April Shift 1 2026

The Young's modulus of steel wire of radius $$r$$ and length $$L$$ is $$Y$$. If the radius $$r$$ and length $$L$$ of the wire are doubled then the value of $$Y$$

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Statement I: Change in internal energy of a system containing $$n$$ mole of ideal gas can be written as $$\Delta U = n C_v (T_f - T_i) = \frac{nR}{\gamma - 1}(T_f - T_i)$$, where $$\gamma = \frac{C_p}{C_v}$$, $$T_i$$ = initial temperature, $$T_f$$ = final temperature.
Statement II: Relation between degree of freedom $$f$$ and $$ \gamma$$ (= $$C_p/C_v$$) is $$\left(\gamma = 1 + \frac{2}{f}\right)$$.
Choose the correct answer from the options given below

Consider the following statements:
A. Zeroth law of thermodynamics gives concept of temperature
B. First law of thermodynamics gives concept of internal energy
C. In isothermal expansion of ideal gas, $$\Delta Q \neq \Delta W$$
D. Product of intensive and extensive variables is extensive
E. The ratio of any extensive variable to mass will be an extensive variable
Choose the correct combination of statements from the options given below:

Refer to the figure given below. The values of $$I_1$$, $$I_2$$ and $$I_3$$ are _______.

An electron of mass $$m$$ is moving in an electric field $$\vec{E} = -2E_o \hat{i}$$ ($$E_o$$ = constant > 0), with an initial velocity $$\vec{V} = v_o \hat{i}$$ ($$v_o$$ = constant > 0). If $$\lambda_o = \frac{h}{4mv_o}$$, its de Broglie wavelength at time $$t$$ is _______. ($$e$$ = charge of electron)

In the hydrogen atom, the electron makes a transition from the higher orbit ($$i$$) to a lower orbit ($$f$$). The ratio of the radius of the orbits is given by $$r_i : r_f = 16 : 4$$. The wavelength of photon emitted due to this transition is _______ nm. (Given Rydberg constant = $$1.0973 \times 10^7$$ /m)

A displacement current of 4.0 A can be set up in the space between two parallel plates of 6 $$\mu$$F capacitor. The rate of change of potential difference across the plates of the capacitor is nearly $$\alpha \times 10^6$$ V/s. The value of $$\alpha$$ is _______.

Refer to the figure given below, current between terminals $$A$$ and $$B$$ is _______A.

In Young's double slit experiment, the fringe width of the interference pattern produced on the screen is 2.4 $$\mu$$m. If the experiment is carried out in another medium having refractive index 1.2, the fringe width will be _______ $$\mu$$m.

A ray of light passing through an equilateral prism is having velocity $$2.12 \times 10^8$$ m/s in the prism material, then the minimum angle of deviation is _______ degrees.