jee_main_2025_28_jan_morning - Work, Energy and Power Topics

Master these core formulas and structures to solve almost any past paper question.

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QUESTION #10 Conservation of Mechanical Energy
A bead of mass mathrmm slides without friction on the wall of a vertical circular hoop of radius mathrmR as shown in figure. The bead moves under the combined action of gravity and a massless spring (k) attached to the bottom of the hoop. The equilibrium length of the spring is mathrmR . If the bead is released from top of the hoop with (negligible) zero initial speed, velocity of bead, when the length of spring becomes mathrmR , would be (spring constant is mathrmk , g is acceleration due to gravity) {{IMG1}}
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QUESTION #11 Conservative and Non-conservative Forces
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: In a central force field, the work done is independent of the path chosen Reason R: Every force encountered in mechanics does not have an associated potential energy. In the light of the above statements, choose the most appropriate answer from the options given below:
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JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%) | JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%)
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