Which of the following is the dimension of pressure?

a

ML-1T-2

b

MLT-2

c

ML2T-3

d

ML-3

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Explanation

Correct Option
a

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King33Victor
1 month ago

solution

pressure = force/area
p= F/A
but F = ma
A = bxh
ie A = LxL
= L^2
also a = v/t
and v = d/t
mind u that some of these quantities are fundamental while some are derived
now input
p = ma/ L^2
= mxa/L^2
= m/ 1 x V/T x 1/L^2
= M/1 x d/T x 1/ T x 1/L^2
= M/1 x L/T x 1/T x 1/L^2
= MxLx1x1xT^-1xT^-1xL^-2
= MLT^-1xT^-1xL^-2
= MLxL^-2xT^-1xT^-1
= ML^-1xT^-2
= ML^-1T^-2
so oo option A is legit 💯.

I would have sent the one I solved on the paper but may be they have restricted candidates from sending images. thank

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