Question

The pressure of a
gas is given by expression
P=aL²+ bl whese Lis length. Determine dimension
of a

Answer 1

Explanation:

dimensions of p are equal to al2 and bl as they both are added

Answer 2

Answer:

The dimension of a is ML⁻³T⁻².

Explanation:

The expression given in the question is,

$P=aL^2+bL$     (1)

Where,

P=pressure

a,b=are constants

L=length

So from equation (1), we can see that,

Dimensions of P=Dimensions of aL²  (2)

Where,

The dimension of pressure is =ML⁻¹T⁻²

The dimension of length is =M°L¹T°

By using the dimensions of pressure and length in equation (2) we get;

$ML^-^1T^-^2=a(M^0L^2T^0)$

$a=\frac{ML^-^1T^2}{M^0L^2T^0}$

$a=ML^-^3T^-^2$

Hence, the dimension of a is ML⁻³T⁻².