Step 1: Define the terms related to humidity.
- Absolute humidity is the actual mass of water vapor present in a given volume of air (e.g., grams per cubic meter). It is a direct measure of the "amount of water vapor".
- Relative humidity is a ratio, expressed as a percentage, of the amount of water vapor actually in the air compared to the maximum amount the air could hold at that temperature.
- Super saturation is an unstable state where the air holds more water vapor than it normally can at a given temperature.
- Saturation ratio (or degree of saturation) is a similar concept to relative humidity.
Step 2: Match the definition to the question.
The question asks for the term that refers to the "amount of water vapor in the air". This is the definition of absolute humidity.
If \(f(t)\) is the inverse Laplace transform of \( F(s) = \frac{s+1+s^{-2}}{s^2-1} \), then \(f(t)\) is
Match LIST-I with LIST-II
LIST-I (Differential Equation)
(A) \(\frac{dy}{dx} = 2x(y-x^2+1)\)
(B) \(x\frac{dy}{dx} + 2(x^2+1)y=6\)
(C) \((x^2+1)\frac{dy}{dx} + 2xy = x \sin x\)
(D) \(x^3\frac{dy}{dx} + 2xy = 2x^2e^{x^2}\)
LIST-II (Integrating Factor)
(I) \(x^2\)
(II) \(e^{-x^2}\)
(III) \(x^2e^x\)
(IV) \(1+x^2\)
Choose the correct answer from the options given below: