Download App

Model Paper 4 — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysicsModel Paper 42 Marks
Question
If the mass of the sun is $2 \times 10^{30} kg$, the distance of the earth from the sun is $1.5 \times 10^{11} m$ and period of revolution of the earth around the sun is one year ( $=365.3$ days), calculate the value of gravitational constant.
✓

Answer

$
\begin{aligned}
& G \text { (gravitational constant) }=6.673 \times 10^{-11} Nm^2 kg^{-2} \\
& M(\text { mass of sun })=2 \times 10^{30} kg \\
& m \text { (mass of earth) }=6 \times 10^{24} kg
\end{aligned}
$
d (average distance between sun and earth) $=1.5 \times 10^8 km=1.5 \times 10^8 \times 1000=1.5 \times 10^{11} m$
$
\begin{aligned}
& F=\frac{G M m}{d^2} \\
& =\frac{6.67 \times 10^{-11} \times 2 \times 10^{30} \times 6 \times 10^{24}}{\left(1.5 \times 10^{11}\right)^2} \\
& =\frac{6.673 \times 10^{-11} \times 2 \times 10^{30} \times 6 \times 10^{24}}{1.5 \times 1.510^{22}}\left(10^{24+30-11}=10^{43}\right) \\
& =\frac{6.673 \times 2 \times 6 \times 10^{43}}{1.5 \times 1.5 \times 10^{22}}\left(10^{43-22}=10^{21}\right) \\
& =\frac{6.673 \times 2 \times 6 \times 10^{21}}{1.5 \times 1.5}\left(10^{43-22}=10^{21}\right) \\
& =\frac{80.076 \times 10^{21}}{1.5 \times 1.5} \\
& =35.59 \times 10^{21} N=3.57 \times 10^{22} N
\end{aligned}
$
Force of gravity $=3.57 \times 10^{22} N$

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 Model Paper 4→Model Paper 4 — all question types→Physics STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

Two masses each of 100kg are separated by 1 metre. Find the gravitational (i) field (ii) potential at the mid-point of the line joining them.
→
The pressure of the gas in a constant volume gas thermometer is 70kPa at the ice point. Find the pressure at the steam point.
→
Can two states of an ideal gas be connected by an isothermal process as well as an adiabatic process?
→
The contact angle between water and glass is $0^º$. When water is poured in a glass to the maximum of its capacity, the water surface is convex upward. The angle of contact in such a situation is more than $90^º$. Explain.
→
The particle position in one-dimensional motion is
$
x=\left(3+4 t-t^2\right) \text { meter }
$
Draw the displacement velocity diagram for this motion from the time interval $t=0 sec$ to $t=4 sec$.
→
Steel is more elastic compared to rubber. Show how?
→
If work required to blow a soap bubble of radius r is W, then what additional work is required to be done to blow it to a radius 3r?
→
A thin spherical shell of radius R lying on a rough horizontal surface is hit sharply and horizontally by a cue. Where should it be hit so that the shell does not slip on the surface?
→
Considering a household refrigerator as a reversible engine operating between the melting point of ice and room temperature $27^{\circ} C$, estimate the energy provided joules ( $J$ ) to freeze 1 kg of water, the temperature of water is given in $0^{\circ} C , L = 8 0 Cal g ^{-1}$.
→
How many metric tons are there in teragram?
→