Question

# A projectile fired with Initial velocity $$u$$ at some angle $$\theta$$ has a range $$R$$. If the initial velocity be doubled at the same angle of' projection. then the range will be

A
2R
B
R2
C
R
D
4R

Solution

## The correct option is D $$4R$$As Range=$$\dfrac{u^{2}\sin 2\theta}{g}$$ or $$R\alpha u^{2}[\theta=$$constant]And for $$u$$ initial velocity and $$\theta$$ initial angle Range=$$R$$Then for $$2u$$ initial velocity and $$\theta$$ initial angle range $$4R$$.Physics

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