NTA JEE Main 26th June 2022 Shift 2

A parallel plate capacitor with plate area $$A$$ and plate separation $$d = 2$$ m has a capacitance of $$4$$ $$\mu$$F. The new capacitance of the system if half of the space between them is filled with a dielectric material of dielectric constant $$K = 3$$ (as shown in figure) will be

Find the equivalent resistance between point $$A$$ and $$B$$

A bar magnet having a magnetic moment of $$2.0 \times 10^5$$ J T$$^{-1}$$, is placed along the direction of uniform magnetic field of magnitude $$B = 14 \times 10^{-5}$$ T. The work done in rotating the magnet slowly through $$60°$$ from the direction of field is

A metal surface is illuminated by a radiation of wavelength $$4500$$ Å. The ejected photo-electron enters a constant magnetic field of $$2$$ mT making an angle of $$90°$$ with the magnetic field. If it starts revolving in a circular path of radius $$2$$ mm, the work function of the metal is approximately

Two coils of self inductance $$L_1$$ and $$L_2$$ are connected in series combination having mutual inductance of the coils as $$M$$. The equivalent self inductance of the combination will be

A metallic conductor of length $$1$$ m rotates in a vertical plane parallel to east-west direction about one of its end with angular velocity $$5$$ rad s$$^{-1}$$. If the horizontal component of earth's magnetic field is $$0.2 \times 10^{-4}$$ T, then emf induced between the two ends of the conductor is

Which is the correct ascending order of wavelengths?

A radioactive nucleus can decay by two different processes. Half-life for the first process is $$3.0$$ hours while it is $$4.5$$ hours for the second process. The effective halflife of the nucleus will be

The positive feedback is required by an amplifier to act as an oscillator. The feedback here means

A sinusoidal wave $$y(t) = 40\sin(10 \times 10^6 \pi t)$$ is amplitude modulated by another sinusoidal wave $$x(t) = 20\sin(1000\pi t)$$. The amplitude of minimum frequency component of modulated signal is