The Sun is a hot plasma (ionized matter) with its inner core at a… - Vidyadip

Question

The Sun is a hot plasma (ionized matter) with its inner core at a temperature exceeding 107K, and its outer surface at a temperature of about 6000K. At these high temperatures, no substance remains in a solid or liquid phase. In what range do you expect the mass density of the Sun to be, in the range of densities of solids and liquids or gases? Check if your guess is correct from the following data : mass of the Sun = 2.0 × 1030kg, radius of the Sun = 7.0 × 108m.

✓

Answer

Mass of the Sun, $M = 2.0 \times 10^{30}kg$ Radius of the Sun, $R = 7.0 \times 10^8m$
Density, $\rho= ?$
$\rho=\frac{\text{mass}}{\text{volume}}=\frac{\text{M}}{\frac{4}{3}\pi\text{R}^3}=\frac{3\text{M}}{4\pi\text{R}^3}=\frac{3\times2.0\times10^{30}}{4\times3.14(7\times10^8)^3}$
$=1.392\times10^3\text{Kg/m}^3$
The density of the Sun is in the density range of solids and liquids. This high density is attributed to the intense gravitational attraction of the inner layers on the outer layer of the Sun.

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 "3 Marks Question" from Units and Measurements→Units and Measurements — all question types→Physics STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

The displacement of a progressive wave is represented by $\text{y} = \text{A} \sin(\omega \text{t} – \text{k x} ),$ where $x$ is distance and $t$ is time. Write the dimensional formula of $(i) \omega$ and $(ii) k$.

Calculate the magnetic dipole moment corresponding to the motion of the electron in the ground state of a hydrogen atom.

An ice cube of mass 0.1 kg at $0^{\circ} C$ is placed in an isolated container which is at $227^{\circ} C$. The specific heat S of the container varies with temperature T according to the empirical relation $S = A + BT$, where $A =100 cal / kg - K$ and $B=2 \times 10^{-2} cal / kg - K ^2$. If the final temperature of the container is $27^{\circ} C$, determine the mass of the container. (Latent heat of fusion of water $=8 \times 10^4$ call kg. Specific heat of water $=10^3 cal / kg - K$ ).

Suppose the rod in the previous problem has a mass of $1kg$ distributed uniformly over its length:

Find the initial angular acceleration of the rod.
Find the tension in the supports to the blocks of mass $2kg$ and $5kg$.

What is the pressure inside the drop of mercury of radius $3.00mm$ at room temperature? Surface tension of mercury at that temperature ($20°C$) is $4.65 \times 10^{–1}N m^{–1}$. The atmospheric pressure is $1.01 × 105Pa$. Also give the excess pressure inside the drop.

Suppose the resistance of the coil in the preivous problem is $25\Omega.$ Assume that the coil moves with uniform velocity during its removal and restoration. Find the thermal energy developed in the coil during:

Its removal.
Its restoration.
Its motion.

Two bodies A and B at temperatures 327°C and 127°C respectively are placed in an evacuated enclosure maintained at a temperature of 27°C. Compare their rates of cooling.

State first law of thermodynamics. What are its limitations? Why $C_p > C_v$?

The final volume of a system is equal to the initial volume in a certain process. Is the work done by the system necessarily zero? Is it necessarily non-zero.

Find the frequency of note emitted by a string of length $10\sqrt{10}\text{cm},$ under tension of 3.14kg. Radius of string is 0.5mm and density = 9.8g/cc.