# Three particles A,B and C are projected from the same point with the same initial speed making angles 30°,45° and 60° respectively with the horizontal. Which of the following statements is correct?

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Three particles A,B and C are projected from the same point with the same initial speed making angles 30°,45° and 60° respectively with the horizontal. Which of the following statements is correct?

(a) A, B and C have unequal ranges

(b) Ranges of A and C are equal and less than that of B

(c) Ranges of A and C are equal and greater than that of B

(d) A, B and C have equal ranges

I have been asked this question by my college director while I was bunking the class.

This question is from Motion in a Plane topic in chapter Laws of Motion of Engineering Physics I

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Right choice is (b) Ranges of A and C are equal and less than that of B

The explanation is: RA = (u^2 sin60°)/g = √3/2  u^2/g

RB = (u^2 sin90°)/g = u^2/g

Rc = (u^2 sin120°)/g = √3/2  u^2/g

Ranges A and C are equal but less than that of B.

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