PYQs Based Test - 01 : Electrical Circuits and Electromagnetism

A multi-mode optical fiber index with a large core diameter has a core refractive index n₁ = 1.5 and cladding refractive index n₂= 1.4142. The maximum value of θ${}_A$ (in degrees) for which the incident light from air will be guided in the optical fiber is ±______.

In the circuit diagram, shown in the figure S₁ was closed and S₂ was open for a very long time. At t = 0, S₁(switch connected to 1 V source) is opened and S₂ (switch connected to 3 V source) is closed. The voltage across the capacitor, in volts, at t = 5 μs is _____

The voltage v(t) shown below is applied to the given circuit. v(t) = 3 V for t < 0 and v(t) = 6 V for t > 0. The value of current i(t) at t = 1 s, in ampere is _______.

In the figure shown, a large multimode fiber with n${}_{core}$ = 1. 5 and n${}_{clad}$ = 1. 2 is used for sensing. A portion with the cladding removed passes through a liquid with refractive index n${}_{liquid}$. An LED is used to illuminate the fiber from one end and a paper is placed on the other end, 1 cm from the end of the fiber. The paper shows a spot with radius 1 cm. The refractive index n${}_{liquid}$ of the liquid (rounded off to two decimal places) is ____________.

In the circuit shown below the maximum power that can be transferred to the load Z${}_L$ is