Question

# The magnitudes of the gravitational field at distances r1 and r2 from the centre of a uniform sphere of radius R and mass M are E1 and E2 respectively. Then:

A
E1E2=r1r2, if r1<R and r2<R
B
E1E2=r22r21, if r1>R and r2>R
C
E1E2=r31r32, if r1<R and r2<R
D
E1E2=r21r22, if r1<R and r2<R
Solution
Verified by Toppr

#### If r≤R, then E=GMR3(r)⟹E∝r⟹E1E2=r1r2 if r1<R and r2<RIf r≥R, then E=GMr2⟹E∝1r2⟹E1E2=r22r21 if r1>R and r2>R

0
Similar Questions
Q1

If the sum of the areas of two circles with radii R1 and R2 is equal to the area of a circle of radius R, then

View Solution
Q2

If the sum of the areas of two circles with radii R1 and R2 is equal to the area of a circle of radius R, then

View Solution
Q3

The magnitude of the gravitational force at distance r1 and r2 from the centre of a uniform sphere of radius R and mass M are F1 and F2 respectively. Then,

View Solution
Q4

Two resistances R1 and R2 are joined with two batteries of emf E1 and E2. If E2 is short circuited, the current through R1 is View Solution
Q5

Two cells of emf E1 and E2 are joined in opposition (such that E1>E2). If r1 and r2 be the internal resistance and R be the external resistance, then the terminal potential difference is View Solution
Solve
Guides