NTA JEE Main 25th January 2023 Shift 1

A uniform metallic wire carries a current 2 A, when 3.4 V battery is connected across it. The mass of uniform metallic wire is $$8.92 \times 10^{-3}$$ kg, density is $$8.92 \times 10^3$$ kg m$$^{-3}$$ and resistivity is $$1.7 \times 10^{-8}$$ $$\Omega$$ - m. The length of wire is:

Match List I with List II

Choose the correct answer from the option given below:

A solenoid of 1200 turns is wound uniformly in a single layer on a glass tube 2 m long and 0.2 m in diameter. The magnetic intensity at the center of the solenoid when a current of 2 A flows through it is:

In an LC oscillator, if values of inductance and capacitance become twice and eight times, respectively, then the resonant frequency of oscillator becomes $$x$$ times its initial resonant frequency $$\omega_0$$. The value of $$x$$ is:

All electromagnetic wave is transporting energy in the negative $$z$$ direction. At a certain point and certain time the direction of electric field of the wave is along positive $$y$$ direction. What will be the direction of the magnetic field of the wave at that point and instant?

In Young's double slits experiment, the position of 5$$^{th}$$ bright fringe from the central maximum is 5 cm. The distance between slits and screen is 1 m and wavelength of used monochromatic light is 600 nm. The separation between the slits is:

Electron beam used in an electron microscope, when accelerated by a voltage of 20 kV has a de-Broglie wavelength of $$\lambda_0$$. If the voltage is increased to 40 kV then the de-Broglie wavelength associated with the electron beam would be:

The ratio of the density of oxygen nucleus ($${}^{16}_8$$O) and helium nucleus ($${}^{4}_2$$He) is

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R
Assertion A: Photodiodes are used in forward bias usually for measuring the light intensity.
Reason R: For a $$p-n$$ junction diode, at applied voltage $$V$$ the current in the forward bias is more than the current in the reverse bias for $$|V_z| > \pm V \geq |V_0|$$ where $$V_0$$ is the threshold voltage and $$V_z$$ is the breakdown voltage.
In the light of the above statements, choose the correct answer from the options given below

A message signal of frequency 5 kHz is used to modulate a carrier signal of frequency 2 MHz. The bandwidth for amplitude modulation is: