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Gravitation question

2021 · 22 Jul · Shift 2 · Q53
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  5. /2021 · 22 Jul · Shift 2 · Q53

Gravitation question

2021 · 22 Jul · Shift 2 · Q53

JEE MainPhysicsGravitationMCQ+4 / −1
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 ‾\underline{\hspace{2cm}}​ s.
  1. A
    2Reg[(1+hRe)32−1]\sqrt {{{2{R_e}} \over g}} \left[ {{{\left( {1 + {h \over {{R_e}}}} \right)}^{{3 \over 2}}} - 1} \right]g2Re​​​[(1+Re​h​)23​−1]
  2. B
    13Re2g[(1+hRe)32−1]{1 \over 3}\sqrt {{{{R_e}} \over {2g}}} \left[ {{{\left( {1 + {h \over {{R_e}}}} \right)}^{{3 \over 2}}} - 1} \right]31​2gRe​​​[(1+Re​h​)23​−1]
  3. C
    Re2g[(1+hRe)32−1]\sqrt {{{{R_e}} \over {2g}}} \left[ {{{\left( {1 + {h \over {{R_e}}}} \right)}^{{3 \over 2}}} - 1} \right]2gRe​​​[(1+Re​h​)23​−1]
  4. D
    132Reg[(1+hRe)32−1]{1 \over 3}\sqrt {{{2{R_e}} \over g}} \left[ {{{\left( {1 + {h \over {{R_e}}}} \right)}^{{3 \over 2}}} - 1} \right]31​g2Re​​​[(1+Re​h​)23​−1]
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