A satellite is moving in a low nearly circular orbit around the earth. Its radius is roughly equal to that of the earth's radius $\mathrm { R } _ { \mathrm { e } }$. By firing rockets attached to it, its speed is instantaneously increased in the direction of its motion so that it become $\sqrt { \frac { 3 } { 2 } }$ times larger. Due to this the farthest distance from the centre of the earth that the satellite reaches is $R$. Value of $R$ is: (1) $4 \mathrm { R } _ { \mathrm { e } }$ (2) $2.5 \mathrm { R } _ { \mathrm { e } }$ (3) $3 R _ { e }$ (4) $2 \mathrm { R } _ { \mathrm { e } }$
A satellite is moving in a low nearly circular orbit around the earth. Its radius is roughly equal to that of the earth's radius $\mathrm { R } _ { \mathrm { e } }$. By firing rockets attached to it, its speed is instantaneously increased in the direction of its motion so that it become $\sqrt { \frac { 3 } { 2 } }$ times larger. Due to this the farthest distance from the centre of the earth that the satellite reaches is $R$. Value of $R$ is:
(1) $4 \mathrm { R } _ { \mathrm { e } }$\\
(2) $2.5 \mathrm { R } _ { \mathrm { e } }$\\
(3) $3 R _ { e }$\\
(4) $2 \mathrm { R } _ { \mathrm { e } }$