Question

The dimension of a and b in the relation f= ax+bt are

Answer 1

Answer:

Step-by-step explanation:

F=ax+bt

x is length

and t is time.

a=(F-bt)/x

Here,( F-bt) force can be subtracted from force,

then bt = F

or b=F/t = (M¹L¹/T³)

Similarly, a=F/x = (M¹/T²)

therefore, a/b = T¹/L

Answer 2

Answer:

The dimension of a and b  are a=MT⁻² AND b =MLT⁻³

Step-by-step explanation:

• Principle of Homogeneity states that dimensions of each of the terms of a dimensional equation on both sides should be the same.

The dimension of a and b in the relation F= ax+bt

• F=Force=MLT⁻²
• X=Distance=L
• t= Time=T

• Dimensions of ax and bt should be equal to force F, according to homogenity principle.

ax=F

aL=MLT⁻²

a=MT⁻²

bt=F

bT=MLT⁻²

b =MLT⁻³