ans d 13 A body has maximum range R1 when projected up the inclined plane The same body - Physics - Communication Systems

Question

ans d
13 A body has maximum range R1 when projected up the
inclined plane The same body when projected down the inclined
plane, it has maximum range R2 Assuming equal speed of
projection in each case and the body is projected on the inclined
plane in the line of the greatest slope the maximum range R on
horizontal ground (same speed of projection) can be

A) R = R1R2 B) R = R1 +
R2 C) R = R 1 R 2 R 1   +   R 2 D) R = 2 R 1 R
2 R 1 +   R 2

Sanjay Singh · Accepted Answer

Dear student

Formula of maximum range up the plane R1=u2g(1+sinα)1R1=g(1+sinα)u2
1Maximum range down the inclined plane is :Replace α with -α in the above formulaR2=u2g(1-sinα)1R2=g(1-sinα)u2
2Adding eqn 1 and 21R1+1R2=g(1+sinα)u2+g(1-sinα)u21R1+1R2=gu2(2)R1+R22R1R2=gu2u2g=2R1R2R1+R2maximum range on the plane R=u2g=2R1R2R1+R2Regards