1.

Ram is preparing for IIT JEE. He sets on to tackle a typical problem in mechanics. He sees that the wedge is kept on a smooth ground and it's inclined surface is also smooth. A block is projected on it as shown. Both the block and wedge have equal mass. Can you help him find the answer to following three question? He sets on to find the maximum height attained by the block, assuming the block does not fall off to the other side. Which of the following equation is correct.

Answer»

`mgh=1/2mv_(0)^(2)` (by conservation of energy) where H is maximum HEIGHT of the block.
`0^(2)=v_(0)^(2)-2gsinthetaxxs` where is maximum displacement along the inclined surface
`mv_(0)=mv+mv` (by conservation of MOMENTUM) and `1/2mv_(0)^(2)=1/2mv^(2)+1/2mv^(2)+mgh`
None of these

Solution :Correct equation is, `mv_(0) costheta=mv+mv and 1/2mv_(0)^(2)=1/2mv^(2)+1/2mv^(2)+mgh`


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