AIIMS 2018 Physics Energy Relations MCQ Question
When a body is projected vertically up from the ground with certain velocity, its potential energy and kinetic energy at a point Aare in the ratio 2:3. If the same body is projected with double the previous velocity, then at the same point A the ratio of its potential energy to kinetic energy is
9:1
2:9
1:9
9:2
Correct Answer
Detailed Explanation
When the velocity is doubled, the kinetic energy (KE) increases by a factor of four, leading to a new total energy . Using the relationship and substituting from the initial condition, we find .
Options (A) and (B) are incorrect as they do not reflect the correct ratio derived from the energy transformations, while option (D) misrepresents the relationship between potential and kinetic energies after the velocity change. Understanding these energy transformations is crucial in mechanics, particularly in analyzing systems where kinetic and potential energies are interdependent.
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