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Find the dimensional formula of
(a) coefficient of viscosity `eta` (b)charge `q`
(c ) potention `V` (d) capacitance `C` and
( e) resistance `R`
Some of the equations containing these quantities are
`F= -etaA [[Delta v )/(Delta l]], q = It. U = VIt, q = CV and V = IR `
where A denotes Area, the v the velocity , I is the length ,I the electric current, t the time and U the energy .

A

`[ML^(2)T^(-2)]`

B

`[ML^(-1)T^(1)]`

C

`[ML^(-2)T^(-2)]`

D

`[M^(0)L^(0)T^(0)]`

Text Solution

Verified by Experts

The correct Answer is:
b

`F = - eta A(Delta v)/(Delta z) rArr [eta] = [ML^(-1)T^(-1)]`
As `F = [MLT^(-2)] A = [L^(2)], (Delta v)/(Delta z)= [T^(-1)]`.
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