Question

Which of the following graphs can represent the relation between momentum (P) and kinetic energy (K) for a body in motion?

• A.
  
• B.
  
  
• C.
  
• D. None of these

Answer 1

The correct option is A


As we know that,
$K=\frac{P^2}{2m}$
(Where, P = momentum and K = kinetic energy)
$\ln K=2\ln P-\ln 2m\ln P=\frac{1}{2}\ln K+\frac{1}{2}\ln 2my=\frac{1}{2}X+c(\mathrm{straight}\mathrm{line}\mathrm{with}+\mathrm{ve}\mathrm{intercept})$