Question

If the radius of earth is doubled then the value of critical velocity becomes
a) 1/√2 vo
b) 1/2 vo
c) √2
d) 1/4 vo

Answer 1

Answer:

If the radius of earth is doubled then the value of critical velocity becomes

a) 1/√2 vo

b) 1/2 vo

c) √2 ☑️☑️☑️

d) 1/4 vo

Explaination :------

The expression for critical velocity is √2GM/√R

So in this expression if you replace R with 2R

(R is the radius of planet you are considering which is earth here)

Then the expression becomes √GM/√R which is √2 times less than the original critical velocity ......

Answer 2

Explanation:

r=2r here------;-;;:(given)

as we know vc

vc=√gm/r+h

therefore vc=✓gm/2r+h.

hence vc=vc√2

hence answer is √2