Neet 2025 PYQ

Two gases A and B are filled at the same pressure in separate cylinders with movable pistons of radius $r_A$ and $r_B$, respectively. On supplying an equal amount of heat to both the systems reversibly under constant pressure, the pistons of gas A and B are displaced by $16\text{cm}$ and $9\text{cm}$, respectively. If the change in their internal energy is the same, then the ratio $r_A/r_B$ is equal to:

A physical quantity $P$ is related to four observations $a$, $b$, $c$ and $d$ as follows:
$$P=a^3{b}^2/c\sqrt{d}$$
The percentage errors of measurement in $a$, $b$, $c$ and $d$ are $1\%$, $3\%$, $2\%$ and $4\%$ respectively. The percentage error in the quantity $P$ is:

Two simple harmonic motions are represented by the equations $y_1=10\sin (3\pi t+\pi /4)$ and $y_2=5[\sin (3\pi t)+\sqrt{3}\cos (3\pi t)]$. The ratio of their amplitudes is:

The intensity of transmitted light when a polaroid sheet, placed between two crossed polaroids at $22.5^{\circ }$ from the polarization axis of one of the polaroids, is ($I_0$ is the intensity of polarised light after passing through the first polaroid):

Two identical point masses P and Q, suspended from two separate massless springs of spring constants $k_1$ and $k_2$, respectively, oscillate vertically. If their maximum speeds are the same, the ratio $(A_Q/A_P)$ of the amplitude $A_Q$ of mass $Q$ to the amplitude $A_P$ of mass $P$ is: