Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEET2018PhysicsGravitationActual

R is the radius of Earth and is its angular velocity and g_p is the value of g at the poles. The effective value of g at a latitude =60^ .

Options

  1. Ag_p- 1 4 R ^2
  2. Bg_p+ 1 4 R ^2
  3. Cg_p- 1 2 R ^2
  4. Dg_p+ 1 2 R ^2

Correct answer

A. g_p- 1 4 R ^2

Step-by-step solution

The acceleration due to gravity at a latitude is g ^ = g - R ^2 ^2 At the poles, =90^ g ^ = g = g _ p For =60^ , g ^ = g _ p - R ^2 ^2 or g^ =g_p-R ^2 ^2 60^ =g_p-R ^2 ( 1 2 )^2=g_p- 1 4 R ^2

Practice Gravitation on Quantrex Academy →

More from Gravitation

The amount of work done to raise a mass ' m ' from the surface of the Earth to a height equal to the radius of the Earth ' R ', will be : 2026Two planets P₁ and P₂ with equal mass have radii R₁ and R₂ , respectively, where R₂= R₁ 2 . The escape speeds of P₁ and P₂ are v₁ and v₂ , respectively. Then v₂ v₁ is : 2026In a solar system, the time-period of revolution of a planet tracing a circular orbit of radius R is proportional to : 2026The radius of Martian orbit around the Sun is about 4 times the radius of the orbit of Mercury. The Martian year is 687 Earth days. Then which of the following is the length of 1 y 2025A body weighs 48 N on the surface of the earth. The gravitational force experienced by the body due to the earth at a height equal to one-third the radius of the earth from its sur 2025The escape velocity for earth is v . A planet having 9 times mass that of earth and radius, 16 times that of earth, has the escape velocity of: 2024The mass of a planet is 1 10 th that of the earth and its diameter is half that of the earth. The acceleration due to gravity on that planet is: 2024An object of mass 100 kg falls from point A to B as shown in figure. The change in its weight, corrected to the nearest integer is ( R_E is the radius of the earth) 2024 Full Gravitation list All NEET PYQs