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

Match List-I with List-II. R_E is the radius of the Earth. List-I List-II (A) Height above Earth's surface where weight of a body decreases by 75 % (I) R_E 4 (B) Height above Earth's surface where weight of a body decreases by 36 % (II) 3R_E 4 (C) Depth below Earth's surface where weight of a body decreases by 75 % (III) 9R_E 25 (D) Depth below Earth's surface where weight of a body decreases by 36 % (IV) R_E Choose

Options

  1. A(A)-(II), (B)-(III), (C)-(IV), (D)-(I)
  2. B(A)-(IV), (B)-(I), (C)-(II), (D)-(III)
  3. C(A)-(I), (B)-(IV), (C)-(III), (D)-(II)
  4. D(A)-(IV), (B)-(III), (C)-(II), (D)-(I)

Correct answer

B. (A)-(IV), (B)-(I), (C)-(II), (D)-(III)

Step-by-step solution

Let the weight on the surface be W = mg . For (A): Weight decreases by 75 % , so it becomes 25 % of W . W_h = W 4 g_h = g 4 Using g_h = g ( R_E R_E+h )^2 , we get 1 4 = ( R_E R_E+h )^2 1 2 = R_E R_E+h h = R_E . So, (A) matches (IV). For (B): Weight decreases by 36 % , so it becomes 64 % of W . W_h = 16W 25 g_h = 16g 25 Using g_h = g ( R_E R_E+h )^2 , we get 16 25 = ( R_E R_E+h )^2 4 5 = R_E R_E+h 4R_E + 4h = 5R_E h = R_E 4 . So, (B) matches (I). For (C): Weight decreases by 75 % , so it becomes 25 % of W . W_d = W

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