Dimensional Analysis and its Applications NEET Questions

Physics - Physics and Measurement
Dimensional Analysis and its Applications

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
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ANSWER :
B. All terms in the equation must have the same dimensional formula
2.
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
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ANSWER :
D. May or may not be physically correct — correctness is not guaranteed
3.
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
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ANSWER :
C. Definitely wrong under all conditions
4.
Verify dimensional consistency of: x = x₀ + v₀t + \( \frac{1}{2} \)at². Which term on RHS has WRONG dimensions?
A.
x₀ — dimensions [L²]
B.
v₀t — dimensions [L²T⁻¹]
C.
\( \frac{1}{2} \)at² — dimensions [L²T⁻²]
D.
All terms are dimensionally correct — each has [L]
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ANSWER :
D. All terms are dimensionally correct — each has [L]
5.
Check: \( \frac{1}{2} \)mv² = mgh. Dimensions of LHS and RHS respectively are:
A.
[ML²T⁻²] and [MLT⁻²]
B.
[ML²T⁻²] and [ML²T⁻²]
C.
[MLT⁻¹] and [ML²T⁻²]
D.
[ML²T⁻²] and [ML³T⁻²]
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ANSWER :
B. [ML²T⁻²] and [ML²T⁻²]
6.
The arguments of sin, cos, log, and exponential functions must always be:
A.
Having dimensions [L]
B.
Having dimensions [T⁻¹]
C.
Dimensionless (pure numbers with no dimensions)
D.
Having dimensions [ML²T⁻²]
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ANSWER :
C. Dimensionless (pure numbers with no dimensions)
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