NTA JEE Mains 1st Feb 2023 Shift 1

Let $$\sigma$$ be the uniform surface charge density of two infinite thin plane sheets shown in figure. Then the electric fields in three different region $$E_I, E_{II}$$ and $$E_{III}$

The equivalent resistance between $$A$$ and $$B$$ of the network shown in figure

Find the magnetic field at the point P in figure. The curved portion is a semicircle connected to two long straight wires.

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'$$n$$' polarizing sheets are arranged such that each makes an angle $$45°$$ with the proceeding sheet. An unpolarized light of intensity $$I$$ is incident into this arrangement. The output intensity is found to be $$\frac{I}{64}$$. The value of $$n$$ will be:

A proton moving with one tenth of velocity of light has a certain de Broglie wavelength of $$\lambda$$. An alpha particle having certain kinetic energy has the same de-Broglie wavelength $$\lambda$$. The ratio of kinetic energy of proton and that of alpha particle is :

The mass of proton, neutron and helium nucleus are respectively 1.0073 u, 1.0087 u and 4.0015 u. The binding energy of helium nucleus is:

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Which of the following frequencies does not belong to FM broadcast.