The velocity v of a particle depends upon the time ‘t’ according to the equation Determine the units of a, b, c and d. What physical quantities they represent. All have SI units.
Answers
Answer:
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.
Explanation:
Answer:
Explanation:
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