Home
Class 10
PHYSICS
How does the accleration due to gravity ...

How does the accleration due to gravity change for the same values of height and depth?

Text Solution

Verified by Experts

Variation of 'g' with altitude: When we go to a height 'h' above the ground 'g' value decreases.
On surface of earth `(g)=(GM)/(R^2)`
At an altitude 'h' `g(h)=(GM)/((R+h)^2)` because R+h is the distance from centre of earth to the given point at 'h'.

So accleration due to gravity decreases with height above the ground.
Variation of 'g' with depth: When we go deep into the ground 'g' value decreases.
At a depth 'd' inside the ground mass of earth upto the point d from centre will exhibit force of attraction on the body. The remaining mass does not exhibit any influence. So effective radius is (R-d) only. Acceleration due to gravity 'g' at a depth 'd' is given by

So 'g' value decreases with depth below the ground.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • GRAVITATION

    VGS PUBLICATION-BRILLIANT|Exercise LONG ANSWER QUATIONS|4 Videos
  • GRAVITATION

    VGS PUBLICATION-BRILLIANT|Exercise PROBLEMS|15 Videos
  • GRAVITATION

    VGS PUBLICATION-BRILLIANT|Exercise ADDITIONAL PROBLEMS|4 Videos
  • FLOATING BODIES

    VGS PUBLICATION-BRILLIANT|Exercise OBJECTIVE TYPE QUESTIONS|40 Videos
  • HUMAN EYE AND COLOURFUL WORLD

    VGS PUBLICATION-BRILLIANT|Exercise CREATIVE QUESTIONS FOR NEW MODEL EXAMINATION (SECTION-IV) (APPLICATION TO DAILY LIFE, CONCERN TO BIODIVERSITY)|1 Videos

Similar Questions

Explore conceptually related problems

How does the acceleration due to gravity (g) change for the same values of height (h) and depth (d).

How does the rate of reaction change with time.

Knowledge Check

  • If g is the acceleration due to gravity on the surface of earth, its value at a height equal to double the radius of earth is:

    A
    g
    B
    `g/2`
    C
    `g/3`
    D
    `g/9`
  • If g is the acceleration due to gravity on the surface of earth, its value at a height equal to double the radius of earth is

    A
    g
    B
    `(g)/(2)`
    C
    `(g)/(3)`
    D
    `(g)/(9)`
  • If g is the acceleration due to gravity on the surface of earth, its value at a height equal to double the radius of earth is

    A
    `g`
    B
    `(g)/(2)`
    C
    `(g)/(3)`
    D
    `(g)/(9)`
  • Similar Questions

    Explore conceptually related problems

    How does the gravity change inside the mines ?

    Derive an expression for the variation of acceleration due to gravity (a) above and (b) below the surface of the Earth. At a certain height above the earth's surface, the acceleration due to gravity is 4% of its value at the surface of the earth. Determine the height.

    If g is the acceleration due to gravity on the surface of earth, its value at a height equal to double the radius of earth is

    If g is the acceleration due to gravity on the surface of earth, its value at a height equal to double the radius of earth is

    A body falls for 5s from rest. If the accleration due to gravity of earth ceases to act, the distance it travels in the next 3s is