Dimensional Analysis and its Applications NEET Questions

Dimensional Analysis and its Applications MCQ Questions

1.
The principle of homogeneity of dimensions states that in a correct physical equation:
A.
All physical quantities must have the same numerical value
B.
All terms in the equation must have the same dimensional formula
C.
LHS must have higher dimensions than RHS
D.
Only scalar quantities can appear in an equation
ANSWER :
B. All terms in the equation must have the same dimensional formula
2.
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]
3.
A dimensionally correct equation is:
A.
Always physically correct
B.
Always physically incorrect
C.
Necessarily correct but may contain wrong dimensionless constants
D.
May or may not be physically correct — correctness is not guaranteed
ANSWER :
D. May or may not be physically correct — correctness is not guaranteed
4.
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]
5.
A dimensionally WRONG (inconsistent) equation is:
A.
Possibly correct under certain conditions
B.
Correct only in SI units
C.
Definitely wrong under all conditions
D.
Correct if the numerical values match
ANSWER :
C. Definitely wrong under all conditions
6.
The dimensional formula of angular momentum is:

NEET - 2018

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