Question

The dimensional equation for volume
charge density is given by
(a) [p]=[M°LTAT
(b) [p]=[M°L-TA
(c) [p] = [M'I²T - All
(d) [p]=IMLT-2 A-21​

Answer 1

Answer:

ANSWER

ϕ=

E

.

A

Hence, unit is (N/C).m

2

Dimension of electric flux[MLT

−2

][A

−1

T

−1

][L

2

]

=[ML

3

T

−3

A

−1

]

Electric flux density is flux per unit area.Hence, its dimension is same as that of electric field.

Dimension of electric flux density is given by [MLT

−3

A

−1

]

Answer-(A)

Answer 2

Charge density is defined as charge per unit volume, i.e Coulumb/ cubic meter.

Since there's no place of Coulumb in fundamental unit list,
we gotta convert it into one first.

Ampere does the job here,
Columb/ time = Ampere,

Columb = Ampere×time.

So the units we're gonna use is (Ampere)(time)/(cubic meter),

$\frac{ {TA}^{} }{ {L}^{3} } \\ \\ = { {M}^{ 0} {L}^{ - 3} TA}^{}$

Hence your answer. Doesn't mathest the options but is the correct one.
^_^"