u=v−
at , u is initial velocity, v is final velocity, a is acceleration and t is time. ⇒LT−1=LT−1−(LT−1) . Hence it is dimensionally correct.
Is dimensionally incorrect equation may be correct?
Answer ⇒ Option (D).
A dimensionally incorrect equation may be correct
. A dimensionally equation does not involves the number and if the methods of the dimensions are applied to check the correctness of the equation it does not involves the pure numbers and dimensionless constant.
What is a dimensionally correct equation?
The angle subtended by an arc of length l, circle of radius r, at the center is given by t/r. Thus, we can say that formula
θ = r/l
is dimensionally correct but numerically wrong. 406 Views.
Is FX P * V dimensionally correct?
Answer Expert Verified
Yes, The
equation is dimensionally correct
.
Which equation of motion is dimensionally correct?
To check the correctness of physical equation,
v = u + at
, Where ‘u’ is the initial velocity, ‘v’ is the final velocity, ‘a’ is the acceleration and ‘t’ is the time in which the change occurs. From (1) and (2) we have [L.H.S.] = [R.H.S.] Hence by principle of homogeneity the given equation is dimensionally correct.
What is dimensionally incorrect?
Now, from the first principle stated above, option C must be dimensionally incorrect
because it has the subtraction of dimensionless constant with a quantity with dimension
. Hence, the correct option is option C. Note.
Which of the following is correct a dimensionally incorrect equation may be correct?
A dimensionally correct equation may or may not be correct. For example ,
s=ut+at2
is dimensionally correct , but not correct actually. A dimensionally incorrect equation may be correct also . For example , s=u+a2(2n-1) is a correct equation , but not correct dimensionally.
Are all dimensionally correct?
❚⠀ ⠀
No all dimensionally correct equations are not numerically correct
because in the use of dimensions numerical constants are said to be dimensionless and thus we cannot specify if there is the need of numerical constants in the equations.
What is the correct equation for pressure?
Pressure is the force per unit perpendicular area over which the force is applied,
p=F/A
.
Is there any Unitless quantity?
A substance can have a unit even if it doesn’t have a dimension. But the reverse is not true. … So dimensionless physical quantities can have units. When considering unitless quantities
it is impossible for them to have any dimension
, since a unitless quantity does not have dimensions.
Is V √ GM R dimensionally correct?
right ? okay, first of all, we identify what is G , M, R and v . so,
formula is dimensionally correct
.
Is V v0 at dimensionally correct?
Note that v and v0 are velocities and that a is an acceleration. Write the dimension of each term. The dimensions of both the sides are the same. Thus,
the equation is dimensionally consistent
.
Is 1 2mv 2 MGH dimensionally correct?
Answer Expert Verified
it means
formulas are dimensionally correct
.
Is v2 U 2as dimensionally correct?
Now s = distance and distance is measured in meter or centimeter. Now as we know that the dimension is independent of scaling so the dimension of 2as is
[L2T−2]
. Hence the given relation is accurate.
What is v2 u2 2as?
Key Point. The equations of motion with constant acceleration: v = u + at v2 = u2 +
2as s = ut + 1 2 at2
where u = initial speed, v = final speed, a = acceleration, t = time, s = distance travelled. 6. The formula for kinetic energy.
Which principle is used to check the correctness of an equation?
Detailed Solution. The correct answer is the
Principle of Homogeneity
. The principle of Homogeneity is a part of dimensional analysis.
