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A uniform metal rod is used as a bar pendulum. If the room temperature rises by `10^(@)C`, and the coefficient of linear expansion of the metal of the rod is `2 xx 10^(-6) per^(@)C`, the period of the pendulum will have percentage increase ofA. `-2xx10^-3`B. `-1xx10^-3`C. `2xx10^-3`D. `1xx10^-3` |
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Answer» Correct Answer - D We know that `T=2pisqrt((L)/(g))` `:. DeltaT=(2pi)/(2)((1)/(Lg))^(1//2)DeltaL` or `(DeltaT)/(T)=(DeltaL)/(2L)=(1)/(2)alphaDeltatheta=(2xx10^-6xx10)/(2)=10^(-5)` `:. (DeltaT)/(T)xx100=1xx10^-5xx100=10^-3%` |
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