Physics Medium 159× since 2002 Q7230 A body is projected vertically upwards from the surface of earth with a velocity sufficient enough to carry it to infinity. The time taken by it to reach height h is ___________ s.
A 2 R e g [ ( 1 + h R e ) 3 2 − 1 ] \sqrt {{{2{R_e}} \over g}} \left[ {{{\left( {1 + {h \over {{R_e}}}} \right)}^{{3 \over 2}}} - 1} \right] g 2 R e [ ( 1 + R e h ) 2 3 − 1 ] B 1 3 R e 2 g [ ( 1 + h R e ) 3 2 − 1 ] {1 \over 3}\sqrt {{{{R_e}} \over {2g}}} \left[ {{{\left( {1 + {h \over {{R_e}}}} \right)}^{{3 \over 2}}} - 1} \right] 3 1 2 g R e [ ( 1 + R e h ) 2 3 − 1 ] C R e 2 g [ ( 1 + h R e ) 3 2 − 1 ] \sqrt {{{{R_e}} \over {2g}}} \left[ {{{\left( {1 + {h \over {{R_e}}}} \right)}^{{3 \over 2}}} - 1} \right] 2 g R e [ ( 1 + R e h ) 2 3 − 1 ] D 1 3 2 R e g [ ( 1 + h R e ) 3 2 − 1 ] {1 \over 3}\sqrt {{{2{R_e}} \over g}} \left[ {{{\left( {1 + {h \over {{R_e}}}} \right)}^{{3 \over 2}}} - 1} \right] 3 1 g 2 R e [ ( 1 + R e h ) 2 3 − 1 ] Check answer Skip
JEE Main 2021 · 22 Jul, Evening shift · Q7230· Gravitation