Dimensional Analysis and its Applications NEET Questions

Dimensional Analysis and its Applications MCQ Questions

1.
The principle of homogeneity in dimensional analysis states that:
A.
Dimensions of all terms in an equation must be the same
B.
Physical quantities must have the same unit
C.
Only base quantities are considered
D.
Derived units do not follow dimensions
ANSWER :
A. Dimensions of all terms in an equation must be the same
2.
The dimensional formula of universal gravitational constant (G) is:
A.
M⁻¹L³T⁻²
B.
M⁻²L³T⁻²
C.
ML³T⁻²
D.
ML⁻³T²
ANSWER :
A. M⁻¹L³T⁻²
3.
The dimensions of surface tension are:

NEET - 2019

A.
[MT⁻²]
B.
[ML⁻¹T⁻²]
C.
[MT⁻²]
D.
[MLT⁻²]
ANSWER :
C. [MT⁻²]
4.
Which of the following equations is dimensionally incorrect?
A.
v = u + at
B.
s = ut + ½ at²
C.
F = ma
D.
P = F × v
ANSWER :
D. P = F × v
5.
The method of dimensions cannot be used to:
A.
Check the correctness of an equation
B.
Find the value of a constant
C.
Derive new relations
D.
Convert units of measurement
ANSWER :
B. Find the value of a constant
6.
The dimensions of the Planck constant divided by the electron charge (h/e) are:

NEET - 2023

A.
[ML²T⁻²A⁻¹]
B.
[ML²T⁻¹A⁻¹]
C.
[ML²T⁻¹A⁻¹]
D.
[MLT⁻²A⁻¹]
ANSWER :
C. [ML²T⁻¹A⁻¹]