Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
89 views
in Physics by (114k points)
closed by
How the acceleration due to gravity (g),  and Universal gravitational constant (G), will change as we go to higher altitudes from earth?
1. g increases, G decreases
2. g remains constant, G decreases
3. g decreases, G remains constant
4. g increase, G remains constant

1 Answer

0 votes
by (113k points)
selected by
 
Best answer
Correct Answer - Option 3 : g decreases, G remains constant

Concept:

Law of Universal Gravitation

It states that all objects attract each other with a force that is proportional to the masses of two objects and inversely proportional to the square of the distance that separates their centres.

It is given mathematically as follows:

\(F = \frac{Gm_1m_2}{R^2}\)

Where m1 and m2 are the mass of two objects, G is the gravitational constant and R is the distance between their centres.

  • The gravitational constant G establishes a relationship between gravitational force, mass, and distance.
    • The value of G is 6.67 × 10-11 N kg-2 m2.

 

Acceleration Due to Gravity:

  • The force of attraction exerted by the earth on a body is called gravitational pull or gravity.
  • We know that when a force acts on a body, it produces acceleration. Therefore, a body under the effect of gravitational pull must accelerate.
  • The acceleration produced in the motion of a body under the effect of gravity is called acceleration due to gravity, it is denoted by g.
  • The acceleration due to gravity on the surface is given as

\(g = \frac{{GM}}{{{R^2}}} \) -- (1)

G is universal constant, M is mass, R is radius of earth.

Explanation:

So, G is a universal constant, it will remain constant. 

g varies with distance from earth. At some altitude h

\(g = \frac{{GM}}{{{(R+h)^2}}} \)

So, as h increase, the denominator increase, and hence g decreases

So, the g decreases, G remains constant is the correct option. 

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...