With what velocity should a particle be projected so that

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With what velocity should a particle be projected so that its height becomes equal to radius of earth?

From conservation of energy

	1	mu² -	GMm	=	1	m × (0)² -	GMm
	2		R		2		R + R

⇒ u² =	2GM	-	2GM	=	GM
	R		2R		R

		GM		^{1 / 2}
		R

		8GM		^{1 / 2}
		R

		2GM		^{1 / 2}
		R

		4GM		^{1 / 2}
		R