Assertion: The horizontal range is same when the angle of projection is greater than 45° by certain value and less than 45° by the same value. Reason: If θ=45°+α, then R1=(u2 sin 2(45°+α)/g)=(u2 cos 2 α/g) text If θ=45°-α, text then R2=(u2 sin 2(45°-α)/g)=(u2 cos 2 α/g)

Question

Assertion: The horizontal range is same when the angle of projection is greater than 45° by certain value and less than 45° by the same value. Reason: If θ=45°+α, then R1=(u2 sin 2(45°+α)/g)=(u2 cos 2 α/g) text If θ=45°-α, text then R2=(u2 sin 2(45°-α)/g)=(u2 cos 2 α/g) (A) If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion. (B) If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion. (C) If the Assertion is correct but Reason is incorrect. (D) If the Assertion is incorrect and Reason is correct.

Tardigrade Admin · Accepted Answer

R =( u 2 sin 2 θ/ g ) If θ=45°+α then R 1=( u 2 sin 2(45°+α)/ g )=( u 2 sin (90°+α)/ g ) =( u 2 cos α/ g ) If θ=45°-α then R 2=( u 2 sin 2(45°-α)/ g )=( u 2 sin (90°-α)/ g ) =( u 2 cos α/ g ) ∴ R 1= R 2

Q. Assertion : The horizontal range is same when the angle of projection is greater than 45∘ by certain value and less than 45∘ by the same value. Reason : If θ=45∘+α, then R1​=gu2sin2(45∘+α)​=gu2cos2α​ If θ=45∘−α, then R2​=gu2sin2(45∘−α)​=gu2cos2α​

If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.

If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.

If the Assertion is correct but Reason is incorrect.

If the Assertion is incorrect and Reason is correct.

R=gu2sin2θ​ If θ=45∘+α then R1​=gu2sin2(45∘+α)​=gu2sin(90∘+α)​ =gu2cosα​ If θ=45∘−α then R2​=gu2sin2(45∘−α)​=gu2sin(90∘−α)​ =gu2cosα​∴R1​=R2​