AIPMT 2008 Main Mock Test

The ratio of the radii of gyration of a circular disc to that of a circular ring, each of the same mass and radius, around their respective axes (passing through the center and perpendicular to the plane) is:

A thin rod of length $L$ and mass $M$ is bent at its midpoint into two halves so that the angle between them is $90^{\circ }$. The moment of inertia of the bent rod about an axis passing through the bending point and perpendicular to the plane defined by the two halves of the rod is:

A roller coaster is designed such that riders experience "weightlessness" as they go round the top of a hill whose radius of curvature is $20\text{m}$. The speed of the car at the top of the hill is between:

If $Q$, $E$, and $W$ denote respectively the heat added, change in internal energy, and the work done in a closed cycle process, then:

On a new scale of temperature (which is linear) called the $W$ scale, the freezing and boiling points of water are $39^{\circ }\text{W}$ and $239^{\circ }\text{W}$ respectively. What will be the temperature on the new scale corresponding to a temperature of $39^{\circ }\text{C}$ on the Celsius scale?