Three particles A, B and C are projected from the same point with the same initial speeds making angles `30^(@), 45^(@) and 60^(@)` respectively with the horizontal. Which of the following statement is correct?

Options

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 then that of B
D. A,B and C have equal ranges

Answer

B

Explanation

`because theta_(A)+theta_(B)=90^(@)`
`therefore R_(A)=R_(C)=(u^(2)sin2xx30^(@))/(g_=(u^(2)sqrt(3))/(2g)`
`R_(B)=(u^(2)sin2xx45^(@))/(g)=(u^(2))/(g)rArr R_(B)gtR_(A)=R_(C)`