For the AC circuit shown in the figure, $ R = 100 \, \text{k}\Omega $ and $ C = 100 \, \text{pF} $, and the phase difference between $ V_{\text{in}} $ and $ (V_B - V_A) $ is 90°. The input signal frequency is $ 10^x $ rad/sec, where $ x $ is:
Two parabolas have the same focus $(4, 3)$ and their directrices are the $x$-axis and the $y$-axis, respectively. If these parabolas intersect at the points $A$ and $B$, then $(AB)^2$ is equal to:
A point particle of charge \( Q \) is located at \( P \) along the axis of an electric dipole 1 at a distance \( r \) as shown in the figure. The point \( P \) is also on the equatorial plane of a second electric dipole 2 at a distance \( r \). The dipoles are made of opposite charge \( q \) separated by a distance \( 2a \). For the charge particle at \( P \) not to experience any net force, which of the following correctly describes the situation?

When there is an unpleasant change in the surrounding that has harmful effects on plants and animals, it leads to environmental pollution. Pollution is the root cause of a substance - “pollutant”. We can have pollutants in solid, liquid, or gaseous forms. A substance becomes a pollutant when its concentration is greater than the natural abundance and this increase in concentration is either because of human activities or natural phenomena.
Some pollutants are scraped into the soil by human beings. This leads to air, water, and soil pollution. If the soil is polluted, the helpful or functional microorganisms in it will die and the fertility of the soil will vanish. The production of crops will diminish. If the soil is not fertile; it will have a harmful consequence on human society.