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QNEET-2016-Ph-1177: NEET 2016 Physics - Class 11 NEET-2016-Ph-1177 Solution: A satellite of mass m is orbiting the earth (of radius R) at a…

A satellite of mass m is orbiting the earth (of radius R) at a height h from its surface. The total energy of the satellite in terms of g0g_0 the value of acceleration due to gravity at the earth's surface is mg0R22(R+h)\frac{mg_0R^2}{2(R+h)} −mg0R22(R+h)-\frac{mg_0R^2}{2(R+h)} 2mg0R2R+h\frac{2mg_0R^2}{R+h} −2mg0R2R+h-\frac{2mg_0R^2}{R+h}

Multiple Choice Options

  • A mg0R22(R+h){{m{g_0}{R^2}} \over {2\left( {R + h} \right)}} 2 ( R + h ) m g 0 _ R 2 _
  • B −mg0R22(R+h)- {{m{g_0}{R^2}} \over {2\left( {R + h} \right)}} _ 2 ( R + h ) m g 0 _ R 2 _
  • C 2mg0R2R+h{{2m{g_0}{R^2}} \over {R + h}} R + h 2 m g 0 _ R 2 _
  • D −2mg0R2R+h- {{2m{g_0}{R^2}} \over {R + h}} _ R + h 2 m g 0 _ R 2 _

Step-by-Step Verified Solution

Total mechanical energy of satellite is given by E = � GMm/2r Here, r = R + h And, GM = g o R 2 So, E = � mg o R 2 /2(R+h)

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