A) 9 : 5
B) 7 : 3
C) 5 : 9
D) none of these
Correct Answer: C
Solution :
Kinetic energy is the energy that a body has as a result of its speed or energy of motion. Kinetic energy of a body \[=\frac{1}{2}\,m{{v}^{2}}\] ?(i) where, m is the mass and v the velocity. Momentum (p) = mv ... (ii) Squaring Eqs. (ii) and rearranging the terms with help of Eq. (i), we have \[p=\sqrt{2mK}\] \[\therefore \] \[{{p}_{1}}=\sqrt{2\times 25\times K}\] ?(iii) \[{{p}_{2}}=\sqrt{2\times 81\times K}\] ?(iv) Dividing Eqs. (iii) by (iv), we have \[\frac{{{p}_{1}}}{{{p}_{2}}}=\sqrt{\frac{25}{81}}=\frac{5}{9}\]
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