Two simple pendulums with heavy bobs - one using iron wire and the other aluminium wire are \( P...
0Two simple pendulums with heavy bobs - one using iron wire and the other aluminium wire are
\( P \) excited simultaneously. It is found that when W the first pendulum completes 1000 oscillations the other completes 1001. When the temperature is raised by \( t^{\circ} \mathrm{C} \), it is found that the two pendulums now oscillate together. If the coefficients of thermal expansion of iron and aluminium are \( 10 \times 10^{-6} /{ }^{\circ} \mathrm{C} \) and \( 30 \times 10^{-6} /{ }^{\circ} \mathrm{C} \), the value of \( \mathrm{t} \) is
(1) \( 77.2^{\circ} \mathrm{C} \)
(2) \( 123.2^{\circ} \mathrm{C} \)
(3) \( 100.1^{\circ} \mathrm{C} \)
(4) \( 105.2^{\circ} \mathrm{C} \)
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