- (A) is incorrect. Weight is the force exerted by gravity on an object, not the amount of matter.
- (B) is incorrect. Mass is the amount of matter, not the force due to gravity.
- (C) is correct. Volume is indeed the amount of space occupied by a substance.
- (D) is correct. Temperatures below \(0^\circ\)C are possible in Celsius scale, but negative temperatures are not possible in the Kelvin scale. - (E) is correct. Precision refers to the closeness of repeated measurements. Thus, the correct answer is (3) (C), (D) and (E) Only.
The left and right compartments of a thermally isolated container of length $L$ are separated by a thermally conducting, movable piston of area $A$. The left and right compartments are filled with $\frac{3}{2}$ and 1 moles of an ideal gas, respectively. In the left compartment the piston is attached by a spring with spring constant $k$ and natural length $\frac{2L}{5}$. In thermodynamic equilibrium, the piston is at a distance $\frac{L}{2}$ from the left and right edges of the container as shown in the figure. Under the above conditions, if the pressure in the right compartment is $P = \frac{kL}{A} \alpha$, then the value of $\alpha$ is ____
If \[ f(x) = \int \frac{1}{x^{1/4} (1 + x^{1/4})} \, dx, \quad f(0) = -6 \], then f(1) is equal to: