Consider a water tank shown in the figure. It has one wall at \(x = L\) and can be taken to be very wide in the z direction. When filled with a liquid of surface tension \(S\) and density \( \rho \), the liquid surface makes angle \( \theta_0 \) (\( \theta_0 < < 1 \)) with the x-axis at \(x = L\). If \(y(x)\) is the height of the surface then the equation for \(y(x)\) is: (take \(g\) as the acceleration due to gravity) 
AB is a part of an electrical circuit (see figure). The potential difference \(V_A - V_B\), at the instant when current \(i = 2\) A and is increasing at a rate of 1 amp/second is:
Among the following, choose the ones with an equal number of atoms.
Choose the correct answer from the options given below:
In an oscillating spring mass system, a spring is connected to a box filled with sand. As the box oscillates, sand leaks slowly out of the box vertically so that the average frequency ω(t) and average amplitude A(t) of the system change with time t. Which one of the following options schematically depicts these changes correctly? 
Reactance is the measure of the opposition of inductance and capacitance to current in an AC circuit which is denoted by X. It varies with the frequency of electrical signals and is measured in ohms.
The total reactance (X) is equal to the difference between the two:
Total reactance, X = X
a. Capacitive Reactance (XC) is the reactance, which is large at low frequencies and small at high frequencies.
b. Inductive Reactance, (XL) is the reactance which is small at low frequencies and large at high frequencies.