NTA JEE Main 26th June 2022 Shift 1

An aluminium wire is stretched to make its length, $$0.4\%$$ larger. The percentage change in resistance is

Given below two statements : One is labelled as Assertion (A) and other is labelled as Reason (R).
Assertion (A): Non-polar materials do not have any permanent dipole moment.
Reason (R): When a non-polar material is placed in an electric field, the centre of the positive charge distribution of it's individual atom or molecule coincides with the centre of the negative charge distribution.
In the light of above statements, choose the most appropriate answer from the options given below.

A proton and an alpha particle of the same velocity enter in a uniform magnetic field which is acting perpendicular to their direction of motion. The ratio of the radii of the circular paths described by the alpha particle and proton is

The magnetic flux through a coil perpendicular to its plane is varying according to the relation $$\phi = (5t^3 + 4t^2 + 2t - 5)$$ Weber. If the resistance of the coil is $$5$$ ohm, then the induced current through the coil at $$t = 2$$ s will be,

If Electric field intensity of a uniform plane electro magnetic wave is given as
$$E = -301.6\sin(kz-\omega t)\hat{a}_x + 452.4\sin(kz-\omega t)\hat{a}_y$$ V m$$^{-1}$$. Then, magnetic intensity $$H$$ of this wave in A m$$^{-1}$$ will be [Given : Speed of light in vacuum $$c = 3 \times 10^8$$ m s$$^{-1}$$, Permeability of vacuum $$\mu_0 = 4\pi \times 10^{-7}$$ N A$$^{-2}$$]

A wave of frequency $$= 3$$ GHz, strikes a particle of size $$\left(\frac{1}{100}\right)^{th}$$ of $$\lambda$$, then this phenomenon is called as

An electron with speed $$v$$ and a photon with speed $$c$$ have the same de-Broglie wavelength. If the kinetic energy and momentum of electron are $$E_e$$ and $$P_e$$ and that of photon are $$E_{ph}$$ and $$P_{ph}$$ respectively. Which of the following is correct?

How many alpha and beta particles are emitted when Uranium $$_{92}U^{238}$$ decays to lead $$_{82}Pb^{206}$$?

The I - V characteristics of a $$p - n$$ junction diode in forward bias is shown in the figure. The ratio of dynamic resistance, corresponding to forward bias voltage of $$2$$ V and $$4$$ V respective is

Choose the correct statement for amplitude modulation