There are two spheres of same radius and material at same tempera… - Vidyadip

Question

There are two spheres of same radius and material at same temperature but one being solid while the other hollow. Which sphere will expand more if:

They are heated to the same temperature.
Same amount of heat is given to each of them?

✓

Answer

As thermal expansion of isotropic solids is similar to true photographic enlargement, the expansion of a cavity is same as if it were a solid body of the same material i.e. $\Delta\text{V}=\gamma\text{V}\Delta\text{T}.$ As here $\text{V},\gamma$ and $\Delta\text{T}$ are same for both solid and hollow spheres, so the expansions of both will be equal.
If same amount of heat is given to the two spheres, then due to lesser mass, rise in temperature of hollow sphere will be more $\Big(\text{as}\ \Delta\text{T}=\frac{\text{Q}}{\text{Mc}}\Big)$ and hence the expansion will be more as $\Delta\text{V}=\gamma\text{V},\Delta\text{T}.$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Marks Questions" from Thermal Properties of Matter→Thermal Properties of Matter — all question types→Physics STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

The yellow colour has a greater luminous efficiency as compared to the other colours. Can we increase the illuminating power of a white light source by putting a yellow plastic paper around this source?

Derive the law of conservation of liner momentum from Newton's third law of motion.

Even when earth receives solar energy, why is it not getting warmed up continuously?

In a standing wave pattern in a vibrating air column, nodes are formed at a distance of 4.0cm. If the speed of sound in air is 328m/s, what is the frequency of 73 the source?

A sphere of mass $m kg$ moving with velocity $v$ stops after sinking into a hanging sand bag. If the mass of sand bag is $M$ and it rises to a height of $h$ then find the velocity of sphere.

Two syringes of different cross-sections (without needles) filled with water are connected with a tightly fitted rubber tube filled with water. Diameters of the smaller piston and larger piston are 1.0cm and 3.0cm respectively.

Find the force exerted on the larger piston when a force of 10N is applied to the smaller piston.
If the smaller piston is pushed in through 6.0cm, how much does the larger piston move out?

A transverse harmonic wave on a string is described by
$\text{y}(\text{x, t})=3.0\sin\big(36\text{t}+0.018\text{x}+\frac{\pi}{4}\big)$
where x and y are in cm and t in s. The positive direction of x is from left to right.
What are its amplitude and frequency?

A photographic plate records sufficiently intense lines when it is exposed for 12s to a source of 10W. How long should it be exposed to a 12W source radiating the light of same colour to get equally intense lines?

A copper wire of cross-sectional area 0.01cm² is under a tension of 20N. Find the decrease in the cross-sectional area. Young's modulus of copper = 1.1 × 10 ¹¹N/m² and Poisson's ratio = 0.32.

$\Big[$Hint: $\frac{\triangle\text{A}}{\text{A}}=2\frac{\triangle\text{r}}{\text{r}}\Big]$

Two transparent slabs having equal thickness but different refractive indices $\mu_1$ and $\mu_2$ are pasted side by side to form a composite slab. This slab is placed just after the double slit in a Young's experiment so that the light from one slit goes through one material and the light from the other slit goes through the other material. What should be the minimum thickness of the slab so that there is a minimum at the point P₀ which is equidistant from the slits?