NTA JEE Mains 9th April 2024 Shift 1

A capacitor is made of a flat plate of area A and a second plate having a stair-like structure as shown in figure. If the area of each stair is $$\frac{A}{3}$$ and the height is $$d$$, the capacitance of the arrangement is 

A galvanometer has a coil of resistance $$200\Omega$$ with a full scale deflection at $$20\mu A$$. The value of resistance to be added to use it as an ammeter of range $$(0 - 20)$$ mA is :

The equivalent resistance between A and B is :

Given below are two statements : Statement (I) : When currents vary with time, Newton's third law is valid only if momentum carried by the electromagnetic field is taken into account. Statement (II) : Ampere's circuital law does not depend on Biot-Savart's law. In the light of the above statements, choose the correct answer from the options given below :

A plane EM wave is propagating along $$x$$ direction. It has a wavelength of $$4$$ mm. If electric field is in $$y$$ direction with the maximum magnitude of $$60$$ Vm$$^{-1}$$, the equation for magnetic field is :

Given below are two statements : Statement (I) : When an object is placed at the centre of curvature of a concave lens, image is formed at the centre of curvature of the lens on the other side. Statement (II) : Concave lens always forms a virtual and erect image. In the light of the above statements, choose the correct answer from the options given below :

A proton, an electron and an alpha particle have the same energies. Their de-Broglie wavelengths will be compared as :

The energy equivalent of $$1$$ g of substance is :

A light emitting diode (LED) is fabricated using GaAs semiconducting material whose band gap is $$1.42$$ eV. The wavelength of light emitted from the LED is :

One main scale division of a vernier caliper is equal to $$m$$ units. If $$n^{th}$$ division of main scale coincides with $$(n+1)^{th}$$ division of vernier scale, the least count of the vernier caliper is :