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  • Let respectively be the maximum ranges up and down on an inclined plane

Let R_{1}\: and \: R_{2} respectively be the maximum ranges up and down on an inclined plane and R  be the maximum range on the horizontal plane. Then, R_{1},R,R_{2}  are in

Option: 1

A.P.


Option: 2

G.P.


Option: 3

H.P.


Option: 4

Arithmetic­ Geometric Progression ( A.G.P. )


Answers (1)

best_answer

(b.) Let θ  be the angle of inclination of plane to horizontal and u be the velocity of projection of the projectile 
\begin{array}{l}{\therefore \quad R_{1}=\frac{u^{2}}{g(1+\sin \theta)}, R_{2}=\frac{u^{2}}{g(1-\sin \theta)}} \\ {\therefore \quad \frac{1}{R_{1}}+\frac{1}{R_{2}}=\frac{2 g}{u^{2}}=\frac{2}{R}} \\ {\Rightarrow \quad R_{1}, R_{1}, R_{2} \in H . P .}\end{array}

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himanshu.meshram

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