A system \(X\) is neither in thermal equilibrium with \(Y\) nor with \(Z.\) The systems \(Y\) and \(Z :\)

Which of the curves in the figure represents the relation between Celsius and Fahrenheit temperatures?
            

Which of the following pairs may give equal numerical values of the temperature of a body?

1. Fahrenheit and kelvin

2. Celsius and kelvin

3. Kelvin and platinum

4. None of these

Consider the following statements.

A metal sheet with a circular hole is heated. The hole is:

Two identical rectangular strips, one of copper and the other of steel, are riveted together to form a bimetallic strip \((α_\text{copper} > α_\text{steel}).\) On heating, this strip will:

If the temperature of a uniform rod is slightly increased by Δt, its moment of inertia I about a perpendicular bisector increases by

1.  zero

2.  αIΔt

3.  2 αIΔt

4.  3 αIΔt

If the temperature of a uniform rod is slightly increased by Δt, its moment of inertia I about a line parallel to itself will increase by

1.  zero

2.  αIΔt

3.  2 αIΔt

4.  3 αIΔt

The temperature of water at the surface of a deep lake is \(2^{\circ} ~\text{C}.\) The temperature expected at the bottom is:
1. \(0^{\circ} \mathrm{C}\)
2. \(2^{\circ} \mathrm{C}\)
3. \(4^{\circ} \mathrm{C}\)
4. \(6^{\circ} \mathrm{C}\)

An aluminium sphere is dipped into water at 10°C. If the temperature is increased, the force of buoyancy

1.  will increase

2.  will decrease

3.  will remain constant

4.  may increase or decrease depending on the radius of the sphere.