Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JIPMER 2004
Exam
JIPMER
Year
2004
Subject
Physics
Chapter
Motion in Two Dimensions

JIPMER 2004 · Physics · Motion in Two Dimensions

The earth of mass =6 × 10^ 24 ~kg revolves around the sun with an...

The earth of mass =6×1024 kg=6 \times 10^{24} \mathrm{~kg} revolves around the sun with an angular velocity of 2×10−7rad/s2 \times 10^{-7} \mathrm{rad} / \mathrm{s} in a circular orbit of radius 1.5×108 km1.5 \times 10^8 \mathrm{~km}. The force exerted by the sun on earth is :

Options

  1. A6×1019 N6 \times 10^{19} \mathrm{~N}
  2. B18×1025 N18 \times 10^{25} \mathrm{~N}
  3. C36×1021 N36 \times 10^{21} \mathrm{~N}
  4. D27×1039 N27 \times 10^{39} \mathrm{~N}

Correct answer

C. 36×1021 N36 \times 10^{21} \mathrm{~N}

Step-by-step solution

Here: Mass of earth Me=6×1024 kgM_e=6 \times 10^{24} \mathrm{~kg} Angular velocity of earth ω=2×10−7rad/s\omega=2 \times 10^{-7} \mathrm{rad} / \mathrm{s} Radius of circular orbit R=1.5×108 km&=1.5×1011 m\begin{aligned}R & =1.5 \times 10^8 \mathrm{~km} \& =1.5 \times 10^{11} \mathrm{~m}\end{aligned} Force exerted on the earth by the sun is given by F=MeRω2&=6×1024×1.5×1011×(2×10−7)2&=36×1021 N\begin{aligned}F & =M_e R \omega^2 \& =6 \times 10^{24} \times 1.5 \times 10^{11} \times\left(2 \times 10^{-7}\right)^2 \& =36 \times 10^{21} \mathrm{~N}\end{aligned}
Practice Motion in Two Dimensions on Quantrex Academy →

More from Motion in Two Dimensions

A particle moving with uniform speed in a circular path maintains: NEET 2024A bob is whirled in a horizontal plane by means of a string with an initial speed of ω… NEET 2024A particle is executing uniform circular motion with velocity v and acceleration a .… NEET 2023A ball is projected from point A with velocity 20 ~m ~s^ -1 at an angle 60^ ∘ to the… NEET 2023A bullet is fired from a gun at the speed of 280m s ^ - 1 in the direction 30 ° above the… NEET 2023A constant torque of 100 ~N ~m turns a wheel of moment of inertia 300 ~kg ~m^2 about an… NEET 2023A ball is projected with a velocity, 10 ms ^ - 1 , at an angle of 60 ° with the vertical… NEET 2022A cricket ball is thrown by a player at a speed of 20 ~m / s in a direction 30^ ∘ above… NEET 2022 Full Motion in Two Dimensions list All JIPMER PYQs