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Questions

Physics

A cylinder of mass m and radius R rolls down an inclined plane of inclination

. Calculate the linear acceleration of the axis of cylinder.

Chemistry

An organic compound A, containing C, H, N and O, on analysis gives 49.32% carbon, 9.59% hydrogen and 19.18% nitrogen. A on boiling with NaOH gives off NH₃ and a salt which on acidification gives a monobasic nitrogen free acid B. The silver salt of B contains 59.67% silver. Deduce the structures of A and B.

Mathematics

If P(1) = 0 and

for all x

1 then prove that P(x) > 0 for all x > 1.

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