9. GRAVITATION
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पृथ्वी तथा सूर्य के बीच गुरुत्वाकर्षण बल का परिकलन कीजिए। दिया है, पृथ्वी का द्रव्यमान $=6 \times 10^{24} \,kg$ तथा सूर्य का द्रव्यमान $=2 \times 10^{30}\, kg \mid$ दोनों के बीच औसत दूरी $1.5 \times 10^{11}\, m$ है।

A

$4.25 \times 10^{22} \,N$

B

$3.25 \times 10^{22} \,N$

C

$3.57 \times 10^{22} \,N$

D

$4.57 \times 10^{22} \,N$

Solution

According to the universal law of gravitation, the force of attraction between the Earth and the Sun is given by

$F=\frac{G \times M_{\text {Sun}} \times M_{\text {Earth}}}{R^{2}}$

Where,

$M_{Sun} =$ Mass of the Sun $= 2 \times 10^{30}\, kg$

$M_{Earth} =$ Mass of the Earth $= 6 \times 10^{24}\, kg$

$R = $ Average distance between the Earth and the Sun $= 1.5 \times 10^{11}\, m$

$G =$ Universal gravitational constant $= 6.7 \times 10^{-11}\, Nm^2\, kg^{-2}$

$F=\frac{6.7 \times 10^{-11} \times 2 \times 10^{30} \times 6 \times 10^{24}}{\left(1.5 \times 10^{11}\right)^{2}}=3.57 \times 10^{22} \,N$

Hence, the force of gravitation between the Earth and the Sun is $3.57 \times 10^{22} \,N$

Standard 9
Science

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