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Questions  

For angles of projection of a projectile at angles 45θ and 45+θ, the horizontal range described by the projectile are in the ratio of

a
2 : 1
b
1 : 1
c
2 : 3
d
1 : 2

detailed solution

Correct option is B

Horizontal range, R=u2sin⁡2θgFor angle of projection 45∘−θ, the horizontal range is :R1=u2sin⁡245∘−θg=R1=u2sin⁡90∘−2θg=u2cos⁡2θgFor angle of projection 45∘+θ, the horizontal range is :R2=u2sin⁡245∘+θg=u2sin⁡90∘+2θg=u2cos⁡2θg∴R1R2=u2cos⁡2θ/gu2cos⁡2θ/g=11.

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Similar Questions

Assertion : When the velocity of projection of a body is made n times, its time of flight becomes n times.

Reason : Range of projectile does not depend on the initial velocity of a body.


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