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An ac source is connected to a capacitor $C$. Due to decrease in its operating frequency:
$X_C = 1/(\omega C)$ increases as $\omega$ decreases, so current $I = V/X_C$ (and displacement current) decreases.
A football player is moving southward and suddenly turns eastward with the same speed to avoid an opponent. The force that acts on the player while turning is:
$\Delta\vec{v} = \vec{v}_f - \vec{v}_i$ points north-east (east minus south $=$ east + north). Force is along $\Delta\vec{v}$, i.e., north-east.
A full wave rectifier circuit consists of two p-n junction diodes, a centre-tapped transformer, capacitor and a load resistance. Which of these components remove the ac ripple from the rectified output?
A shunt capacitor (filter) smooths the pulsating dc by charging on rising and discharging slowly on falling cycles.
The potential energy of a long spring when stretched by 2 cm is $U$. If the spring is stretched by 8 cm, potential energy stored in it will be:
$U\propto x^2$; $(8/2)^2 = 16$, so $U_2 = 16U$.
In a plane electromagnetic wave travelling in free space, the electric field component oscillates sinusoidally at a frequency of $2.0\times 10^{10}\ \text{Hz}$ and amplitude $48\ \text{V m}^{-1}$. Then the amplitude of oscillating magnetic field is: (Speed of light in free space $= 3\times 10^8\ \text{m s}^{-1}$)
$B_0 = E_0/c = 48/(3\times 10^8) = 1.6\times 10^{-7}\ \text{T}$.
Light travels a distance $x$ in time $t_1$ in air and $10x$ in time $t_2$ in another denser medium. What is the critical angle for this medium?
$v_{air} = x/t_1$, $v_{med} = 10x/t_2$; $n = v_{air}/v_{med} = t_2/(10t_1)$. $\sin\theta_c = 1/n = 10t_1/t_2$.
The amount of energy required to form a soap bubble of radius $2\ \text{cm}$ from a soap solution is nearly: (surface tension of soap solution $= 0.03\ \text{N m}^{-1}$)
Bubble has two surfaces: $W = T\times 2(4\pi r^2) = 0.03\times 8\pi\times (0.02)^2 \approx 3.01\times 10^{-4}\ \text{J}$.
A $12\ \text{V}$, $60\ \text{W}$ lamp is connected to the secondary of a step down transformer, whose primary is connected to ac mains of $220\ \text{V}$. Assuming the transformer to be ideal, what is the current in the primary winding?
Ideal transformer: $V_p I_p = V_s I_s = 60\ \text{W}\Rightarrow I_p = 60/220 \approx 0.27$ A.
The angular acceleration of a body, moving along the circumference of a circle, is:
Angular vectors (velocity, acceleration) lie along the axis of rotation by definition.
A vehicle travels half the distance with speed $\vartheta$ and the remaining distance with speed $2\vartheta$. Its average speed is:
$\bar v = \dfrac{d}{d/(2\vartheta) + d/(4\vartheta)} = \dfrac{d}{3d/(4\vartheta)} = \dfrac{4\vartheta}{3}$.
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The bank mixes NEET previous year questions (PYQs) with practice questions, each tagged with its exam appearances where applicable.