While temperature, impurities, and the nature of the liquid affect surface tension, density does not directly influence it.

The mass of the object does not affect the torque; torque depends on the force, distance from the pivot, and angle of application.

The mass of the object does not affect the torque; torque depends on force, distance, and angle.

Surface area does not significantly affect the vapor pressure of a liquid.

Raoult's Law states that the vapor pressure is affected by the nature of the solute, temperature, and mole fraction of the solvent, but not by the pressure of the system.

Flow rate does not affect the viscosity of a fluid; viscosity is a property of the fluid itself.

Surface area does not significantly affect the viscosity of a liquid.

Honey has a higher viscosity compared to water, air, and olive oil due to its thicker consistency.

Honey has a much higher viscosity compared to water, air, and gasoline.

An even function satisfies f(-x) = f(x). Here, f(x) = x^2 is even.

f(x) = x^2 - 4 is a polynomial function and is continuous everywhere, including at x = 2.

At x = 2, f(2) = 0 and limit from left is 0, limit from right is also 0. Hence, it is continuous.

To check continuity at x = 2, we find the left limit (4), right limit (4), and f(2) (4). All are equal, so f(x) is continuous.

f(x) = x^2 is a polynomial function and is continuous everywhere.

Check continuity and differentiability at x = 1 by equating left and right derivatives.

f(x) = x^2 is a polynomial and differentiable everywhere.

A function is even if f(-x) = f(x). Here, f(x) = x^2 is even.

h(x) = sqrt(x) is not a polynomial function.

g(x) = 1/x is not a polynomial because it has a negative exponent.

The function f(x) = 1/x is not defined at x = 0, hence it is not continuous there.

The function has a jump discontinuity at x = 1, hence it is not continuous.

f(x) = 1/x is not continuous at x = 0.

The function f(x) is not differentiable at x = 0 due to the oscillatory nature of sin(1/x) as x approaches 0.

The cosine function is periodic with a period of 2π.

Helium (He) behaves most ideally under standard conditions due to its low intermolecular forces.

CO2 has the highest density at STP among the given gases.

According to Graham's law, lighter gases diffuse faster; H2 has the lowest molar mass.

RMS speed is inversely proportional to the square root of molar mass. Hydrogen (H2) has the lowest molar mass among the options, thus it has the highest RMS speed.

Helium (He) behaves most ideally due to its small size and weak intermolecular forces.

CO2 is more soluble in water compared to O2, N2, and H2 due to its ability to form carbonic acid.