Question

The value of orbital velocity near the surface of the earth is
a) 11.2 kms b ) 2.38 kms
c) 7.98 km'd) 42 km​

Answer 1

Orbital Velocity

• Velocity required for an object to continue orbiting around the earth

• This velocity has to be maintained so that the object doesn't collide with earth

Mathematically,it is given by :

$\large{ \sf{v = \sqrt{2gh} }}$

Here,

• h is the radius of earth

• g is the acceleration due to gravity on earth

Substituting the values,we get :

$\large{ \hookrightarrow \sf{v = \sqrt{2 \times 10 \times 6.37 \times {10}^{6} } }} \\ \\ \huge{ \hookrightarrow \: \boxed{ \boxed{\sf{v = 11.2 \: km {s}^{ - 1} }}}}$

Thus,the orbital velocity near the surface of earth is 11.2 Km/s

Option (A) is correct