A) more in the He filled balloon
B) same in both balloons
C) more in air filled balloon
D) in the ratio of 1 : 4
Correct Answer: B
Solution :
As length .of simple pendulum increases, the time period increases. Ideal gas equation can be written as \[PV=nRT\] ...(i) In this equation, \[n=\]number of moles of the gas \[P=\]pressure of the gas \[V=\]volume of the gas \[R=\]universal gas constant and T = temperature of the gas From Eq. (i), we have \[\frac{n}{V}=\frac{P}{RT}=\text{constant}\] So, at constant pressure and temperature, both balloons will contain equal number of molecules per unit volume. Note: This result is nothing but Avogadros law.
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