Gravitation Question 12
Question: The value of ?g? at a particular point is $ [9.8,m/s^{2}] $ . Suppose the earth suddenly shrinks uniformly to half its present size without losing any mass. The value of ?g? at the same point (assuming that the distance of the point from the centre of earth does not shrink) will now be [NCERT 1984; DPMT 1999]
Options:
A) $ [4.9,m/{{\sec }^{2}}] $
B) $ [3.1,m/{{\sec }^{2}}] $
C) $ [9.8,m/{{\sec }^{2}}] $
D) $ [19.6,m/{{\sec }^{2}}] $
Show Answer
Answer:
Correct Answer: C
Solution:
$ [g=\frac{GM}{r^{2}}] $ .
Since M and r are constant, so $ [g=9.8,,m/s^{2}] $
