| Statement 1: If a light body and a heavy body possess the same momentum, the lighter body will possess more kinetic energy. |
| Statement 2: The kinetic energy of a body varies as the square of its velocity. |
A) Both statements 1 and 2 are true and statement 2 is the correct explanation of statement 1.
B) Both statements 1 and 2 are true but statement 2 is not the correct explanation of statement 1.
C) Statement 1 is true but statement 2 is false.
D) Both statements 1 and 2 are false.
Correct Answer: B
Solution :
Relation between momentum and \[\text{KE(}{{\text{E}}_{\text{K}}}\text{)}\] is \[p=\sqrt{2m{{E}_{k}}}\] If mass of body decreases then KE should increase accordingly to maintain constant momentum. Also, \[{{E}_{K}}=\frac{1}{2}m{{v}^{2}}\] or \[{{E}_{K}}\propto {{v}^{2}}\]
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