Question

The velocity v of a particle depends upon the time 't' according to the equation
v =root ab +bt +c /d +t.
Determine the units of a, b, c and d.what physical quantities they represent. All have SI units

Answer 1

Thus the units of a and b are kg s^2 / √m

Explanation:

From the above logic we can say that:

• Unit of a = same as that of velocity = m/s
• Unit of b t = m/s
• Therefore, unit of b = unit of velocity / unit of time = = m / s x s = m /s^2
• Unit of d = unit of time = second
• Unit of c / d + t = m /sec
• Therefore, unit of c = unit of velocity x  unit of (d+t)
• Unit of (d+t) = Unit of time = Unit of d = second
• Therefore Unit of c = unit of velocity  x  unit of time = m/s x s = m

Now for physical quantities:

Unit of a √ x = Unit of force

• Unit of a = Unit of F / Unit of a
• Unit of a = kg m / s^2 ÷ √ m = kg √m / s^2
• Unit of bt^2 = Unit of F
• Unit of "b" = Unit of F / (Unit of time)^2
• Unit of b = kg m /s^2 ÷ s^2 = kg m / s^4
• Unit of a ÷ b = Unit of a / unit of b
• Unit of a ÷ b = kg √m / s^2 ÷ kg m / s^4
• Unit of a ÷ b = kg s^2 / √m

Thus the units of a and b are kg s^2 / √m

Answer 2

Explanation:

I am getting the value of A wrong