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Taking "force" F, "length" L and "time"...

Taking `"force" F, "length" L and "time" T` to be the fundemental equations , find the dimensions of
(a) density (b) pressure (c ) momentun and (d) energy

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
(a) `["density"] = [F]^(x)[L]^(y) [T]^(z)`
` :. [ML^(-3)] = [MLT^(-2)]^(x)[L]^(y)[T]^(z)`
Equation the powers we get ,
`x = 1, y = -4` and `z= 2`
:. `["density"] ` = [FL^(-4)T^(2)]`
in the similar maner , other parts can be solved.
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