Question

What is the dimensional formula for a and b if f=at+bx here f is force and x is displacement?

Answer 1

F = a + bx

Now two quantities can only be added to give the third one if they have the same units

Therefore, dimensions of a and bx will be dimensions of F ie, force

Hence, dimensions of a=[MLT^-2]

Similarly,

Dimensions of bx = dimensions of force

b×[ L ] = [MLT^-2]

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

Hope it helps

Answer 2

Answer:

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