SATHEE: Properties Of Solids And Liquids Question 603

Properties Of Solids And Liquids Question 603

Question: A pendulum clock keeps correct time at $0^{\circ} C$ . Its mean coefficient of linear expansions is $α /^{\circ} C$ , then the loss in seconds per day by the clock if the temperature rises by $t^{\circ} C$ is

Options:

A) $\frac{\frac{1}{2} α t \times 864000}{1 - \frac{α t}{2}}$

B) $\frac{1}{2} α t \times 86400$

C) $\frac{\frac{1}{2} α t \times 86400}{{(1 - \frac{α t}{2})}^{2}}$

D) $\frac{\frac{1}{2} α t \times 86400}{1 + \frac{α t}{2}}$

Show Answer

Answer:

Correct Answer: B

Solution:

Loss in time per second $\frac{Δ T}{T} = \frac{1}{2} a Δ θ = \frac{1}{2} α (t - 0)$

$\Rightarrow$ loss in time per day $Δ t = (\frac{1}{2} α t) t = \frac{1}{2} α t \times (24 \times 60 \times 60) = \frac{1}{2} α t \times 86400$

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Properties Of Solids And Liquids Question 603

Question: A pendulum clock keeps correct time at 0∘C . Its mean coefficient of linear expansions is α/∘C , then the loss in seconds per day by the clock if the temperature rises by t∘C is

Options:

Answer:

Solution:

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Question: A pendulum clock keeps correct time at $0^{\circ} C$ . Its mean coefficient of linear expansions is $α /^{\circ} C$ , then the loss in seconds per day by the clock if the temperature rises by $t^{\circ} C$ is