The energy stored in a soap bubble of diameter 6cm and T=0.04N/m is nearly
Answers
Explanation:
Energy stored = 2×S×A
Energy stored=2×.04×4×3.14×( 6/2*100)^2
Energy Stored=0.9×10^-3
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Given:
A soap bubble of diameter 6cm and T=0.04N/m.
To Find:
The energy is stored in a soap bubble of diameter 6cm and T=0.04N/m.
Solution:
To find the energy stored in a soap bubble of diameter 6cm and T=0.04N/m we will follow the following steps:
As we know,
Energy stored per unit surface area = 2 times of surface tension.
Surface tension is taken two times because a soap bubble has two surfaces.
So,
Energy = 2× surface tension× surface area.
E = 2×S×A
Here, E = energy, S = surface tension and A = surface area in metre squares.
radius = half of diameter = 3cm or 0.03m.
A = 4πr²
Now,
Putting values in the above formula we get,
E = 2 ×0.4×4×π × (0.03)² = 0.009 joule.
Henceforth, the energy stored in a soap bubble of diameter 6cm and T=0.04N/m is nearly 0.009 joule.