Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

If Ve is the escape velocity for earth when a projectile is fired from the surface of earth. Then the escape velocity if the same projectile is fired from its centre is a) root[3/2]Ve b) 3/2Ve c) root[2/3]Ve d) 2/3Ve

If Ve is the escape velocity for earth when a projectile is fired from the surface of earth. Then the escape velocity if the same projectile is fired from its centre is


a) root[3/2]Ve


b) 3/2Ve


c) root[2/3]Ve


d) 2/3Ve

Grade:11

1 Answers

Swapnil Saxena
102 Points
9 years ago

The gravitational potential energy of a particle at the center of the earth is -(3/2)(GMm/R)

And that at the surface is (GMm/R)

Since Ve=(2* Gravitational Potential )1/2. Then at Surface it is (2*GM/R)1/2

At the Center it is  (2*3/2*GM/R)1/2=(3*GM/R)1/2

Then The ratios of the Escape velocity is Ve1 (at Center)/Ve (at Surface) =(3/2)1/2

So the Correct Option is  (A)

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free