The escape velocity from earth is 11.2 km per sec. If a body is to be projected in a direction making an angle 45° to the vertical, then the escape velocity is Option 1) 11.2 × 2 km/sec Option 2) 11.2 km/sec Option 3) $11.2\times \frac{1}{\sqrt{2}}\, \, \, \, \,$  Km/sec Option 4) $11.2\times \sqrt{2} \, \, \, Km/sec$

As we learnt in

Escape velocity -

Minimum velocity which is required to escape the body from earth's gravitational pull

- wherein

It is independent of the mass and direction of projection of body.

Escape velocity is independent of direction of projection. Hence it will remain same for all direction.

$V_{e}=11.2 km/sec$

Option 1)

11.2 × 2 km/sec

This is incorrect option

Option 2)

11.2 km/sec

This is correct option

Option 3)

$11.2\times \frac{1}{\sqrt{2}}\, \, \, \, \,$  Km/sec

This is incorrect option

Option 4)

$11.2\times \sqrt{2} \, \, \, Km/sec$

This is incorrect option

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