Nishtha on Fire!

Nishtha is standing on planet Brilliantia right now.. She fires a bullet vertically upwards with velocity v..

When the bullet reaches its maximum height, its acceleration due to the planet’s gravity is 1/4th of its value at the surface of the Brilliantia .

If the escape velocity from the Brilliantia is e = Nv , then the value of N is (you may ignore the energy loss due to Brilliantia's atmosphere)

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