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
12.3k views
in Gravitation by (63.7k points)
recategorized by

State the Variation in acceleration due to gravity g with altitude and depth.

1 Answer

+1 vote
by (71.2k points)
selected by
 
Best answer

If we assuming that the earth is a homogenous sphere (which she is not exactly) the gravitational field intensity may be written as

where r = distance of observation point from the centre of the earth. 

The above expression shown that g decreases when we go away from the surface either inward (depth) outward (altitude).

For small height h above the surface

The above discussion shows that g varies at faster rate is going upward than in going inward from the surface of the earth. 

As we go upward initially g falls at faster rate but at later distance its rate of fall becomes smaller-smaller whereas when we go inside the earth g goes on decreasing at constant rate becoming zero at the centre.

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.

...