Basic Maths and Units and DimensionsHard
Question
A projectional can have the same range for two angles of projection. If h1 and h2 are maximum heigh when the range in the two case is R. then the relation between between R, h1 and h2 is
Options
A.R = 4
B.R = 2
C.R =
D.none of these
Solution
h1 = 
h2 =
Range R is same for angle θ and (90o - θ)
h1h2 =
[∵ sin(90o - θ) = cos θ]
[∵ sin 2θ = 2sin θ cos θ]
or R2 = 16 h1h2or R = 4
h2 =
Range R is same for angle θ and (90o - θ)
h1h2 =
[∵ sin(90o - θ) = cos θ]
[∵ sin 2θ = 2sin θ cos θ]
or R2 = 16 h1h2or R = 4
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