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If a body 'A' of mass M is thrown with velocity v at an angle of 30o to the horizontal and another body 'B' of the same mass is thrown with the same speed at an angle of 60o to the horizontal, the ratio of horizontal ranges of A to B will be

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a

1 : 3

b

1 : 1

c

1:3

d

3:1

answer is B.

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Detailed Solution

RA=u2sin⁡60∘g and RB=u2sin⁡120∘g or RB=2u2sin⁡60∘cos⁡60∘g∴ RARB=12cos⁡60=12×(1/2)=11

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