Home
Class 11
PHYSICS
Assuming the earth to be a sphere of uni...

Assuming the earth to be a sphere of uniform density, how much could a body weight at a height eqaul to radius of earth when it weight `250 N` on the surface of earth.

Text Solution

Verified by Experts

Weight of body on surface of earth is
`mg = (GM m)/(R^(2)) = 250 N`
On height `h = R`, the weight of body is
`mg' = (GM m)/((R + R)^(2)) = (GM m)/(4R^(2)) = (mg)/(4) = (250)/(4)`
`= 62.5 N`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • GRAVIATION

    PRADEEP|Exercise PROBLEMS FOR PRACTIVE E|1 Videos

  • GRAVIATION

    PRADEEP|Exercise PROBLEMS FOR PRACTIVE F|1 Videos

  • GRAVIATION

    PRADEEP|Exercise PROBLEMS FOR PRACTIVE C|1 Videos

  • BEHAVIOUR OF PERFECT GAS & KINETIC THEORY

    PRADEEP|Exercise Assertion - Reason Type questions|14 Videos

  • KINEMATICS

    PRADEEP|Exercise 1 NCERT Comprehension|4 Videos

Similar Questions

Explore conceptually related problems

Assuming the earth to be a sphere of uniform mass density, how much would a body weigh half way down to the centre of the earth if it weighd 250 N on the surface ?

Assuming earth to be a sphere of uniform mass density, how much would a body weigh half way down the centre of the earth, if it weighed 100 N on the surface ?

Knowledge Check

  • Assuming the earth to be a sphere of uniform density, how much would a body of weight 200N, weigh at a distance of ( R)/(2) from the centre of the earth? [R is the radius of the earth.]

    A
    100N
    B
    200N
    C
    400N
    D
    150N

  • The height at which weight of the body become (1)/(16) its weight on the surface of earth, is

    A
    5R
    B
    15 R
    C
    3 R
    D
    4 R

  • A body weighed 250N on the surface. Assuming the earth to be a sphere of uniform mass density, how much would it weight half way down to the centre of earth

    A
    240 N
    B
    210 N
    C
    195 N
    D
    125 N

    • Similar Questions

    Explore conceptually related problems

    Assuming the Earth to be a sphere of uniform mass density, how much would a body weight half way down to the centre of the Earth, if it weighed 300N on the surface of Earth.

    Assuming earth to be a sphere of uniform mass density, how much would a body wrigh galf way down the centre of rhe centre of the earth , if it weighed 100 N on the surface?

    If W is the weight of a body on the surface of the earth, its weight at a height equal to radius of the earth would be

    A body weight 500 N on the surface of the earth. How much would it weigh half way below the surface of the earth

    The weight of an object on the surface of the Earth is 40 N. Its weight at a height equal to the radius of the Earth is

    Home
    Profile