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JEE PHYSICS MCQ: THERMAL PROPERTIES OF MATTER

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A simple seconds pendulum is constructed out of a very thin string of thermal coefficient of linear expansion α=20×10−4/∘C\alpha=20 \times 10^{-4} /{ }^{\circ} \mathrm{C} and a heavy particle attached to one end. The free end of the string is suspended from the ceiling of an elevator at rest. The pendulum keeps correct time at 0∘C0^{\circ} \mathrm{C}. When the temperature rises to 50∘C50^{\circ} \mathrm{C}, the elevator operator of mass 60 kg60 \mathrm{~kg} being a student of Physics accelerates the elevator vertically, to have the pendulum correct time. Find the apparent weight of the operator when the pendulum keeps correct time at 50∘C50^{\circ} \mathrm{C}. (Take g=10 m/s2g=10 \mathrm{~m} / \mathrm{s}^2 )
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Correct option: B
660 N660 \mathrm{~N}
Option B (660 N660 \mathrm{~N}) is correct because the apparent weight of the operator is calculated by considering the acceleration of the elevator needed to keep the pendulum's time correct.

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