Question 156: Properties of Matter

Question

Pressure inside two soap bubbles are 1.01 and 1.02 atmosphere, respectively. The ratio of their
volumes is :

Accepted Answer

$${P_{in}} = {P_0} + {{4T} \over {{R_1}}}$$
$$ \Rightarrow 1.01 = 1 + {{4T} \over {{R_1}}}$$
$$ \Rightarrow {{4T} \over {{R_1}}} = 0.01$$
$$1.02 = 1 + {{4T} \over {{R_2}}}$$
$$ \Rightarrow {{4T} \over {{R_2}}} = 0.02$$
$$ 	herefore {{{R_2}} \over {{R_1}}} = {1 \over 2}$$
$$ \Rightarrow {R_1} = 2{R_2}$$
$${{{V_1}} \over {{V_2}}} = {{R_1^3} \over {R_2^3}} = {{8R_2^3} \over {R_2^3}} = {8 \over 1}$$

Answer

4 : 1

Answer

8 : 1

Answer

2 : 1

Answer

0.8 : 1

Properties of Matter

Pressure inside two soap bubbles are 1.01 and 1.02 atmosphere, respectively. The ratio of their volumes is :

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