Question

The metal of a pendulum clock has coefficient of linear expansion of 2*10^ -5 ^ C^ -1 If the period is 2 s at 15 degrees * C calculate the loss or gain of time in 10 hours when the temperature rises to 25 degrees * C​

Answer 1

Answer:

the metal of a pendulum clock has a coefficient of expansion as 2x10-5/K. Its period is 2s at 15°C. If the temperature increases to 25°C, shall the clock ...

Explanation:

Answer 2

Given:

Coefficient of linear expansion (α)= $2 X 10^{-5} C^{-1}$

Time period of pendulum at 15°C= 2s

To Find:

Loss or gain of time in 10 hours at 25°C

Solution:

As temperature increases, the length of pendulum clock increases.

Since time period of pendulum is ∝√L,

Time period of pendulum increases as temp increases

Thus, the clock slows down and it loses time

Time lost = $\frac{1}{2}$αTΔ∅

(T=time during which loss has to be calculated = 10x3600s

Δ∅= difference in temperature (Ф2-Ф1)= 25-15=10)

Time lost = 3.6s

Hence, the time lost by the pendulum is 3.6seconds.