Question

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:

a=[MLT^-2]

b= [MT^-2]

Explanation:

Similarly,

Dimensions of bx = dimensions of force

b×[ L ] = [MLT^-2]

Cancelling L on both sides we get b= [MT^-2]

Answer 2

Given :  F = a + bx,

F is force and x is distance

To Find : SI unit of a and dimensional formula of b.​

Solution:

F = a + bx,

Hence unit and dimensional formula of

F , a  and bx will be same

SI unit of F Force is N  Newton

Hence SI unit of a  is  N newton

Dimensional formula for Force = mass * acceleration is:

MLT⁻²

Dimensional formula of distance x = L

MLT⁻² = b *  L

=>b = MT⁻²

Hence dimensional formula of b is MT⁻²

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