Question

1. In equation F = a + bx, If F is force and x is distance than give the SI unit of A and dimensional formula of B.​

Answer 1

Answer:

i)Newton

ii)MT^-2

Explanation:

[F] =[MLT^-2]

[F]=[a] +[bx]

X=distance=[L]

So, b×L=MLT^-2

b=MLT^-2 /L

b=MT^-2

Si unit of A is newton (N)

Answer 2

Given:

F = a + bx .

To find:

• Unit of 'a' ?
• Dimensions of 'b' ?

Calculation:

• Unit of 'a' will be same as that of F , because same quantities are present on LHS and RHS of an equation.

• So, unit of 'a' is kg m/s² or Newton.

Now, dimensions of 'b':

$\{b \} = \dfrac{ \{ML{T }^{ - 2} \}}{ \{x \}}$

$\implies \{b \} = \dfrac{ \{ML{T }^{ - 2} \}}{ \{L\}}$

$\boxed{ \implies \{b \} = \{M{L}^{0} {T }^{ - 2} \}}$

Hope It Helps.