A physical quantity of the dimensions of length that can be formed out of c, G and e^2/4π£o an is (c is velocity of light, G is universal constant of gravitation and e is charge).write that physical quantity?
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epsilon, c is velocity of light , G is universal constant of gravitation and e is charge }. Terms and conditions : explanation ...
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Question:
A physical quantity of the dimensions of length that can be formed out of c, G and is.
[c is velocity of light, G is the universal constant of gravitation and e is charge]
Solution:
Let's suppose the physical quantity formed by c, G and is
According to the question, it is a physical quantity for length.
So,
Use dimensional analysis,
Dimensions of the following are:
- L= [L]
Why
Use dimensional analysis for each quantity in
Here we have
Rest are Constants
Combining these two according to the formula we get,
Now, equating the dimensional formulas for
Now,equating the exponent power we have,
The physical quantity so obtained is
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