Dimensional Analysis and its Applications NEET Questions

Physics - Physics and Measurement

Dimensional Analysis and its Applications MCQ Questions


7.

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]

8.

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]

9.
The dimensional formula of the magnetic field is:

NEET - 2022

A.
[MT⁻²A⁻¹]
B.
[MT⁻²A⁻¹]
C.
[MLT⁻²A⁻¹]
D.
[ML²T⁻²A⁻¹]
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ANSWER :
B. [MT⁻²A⁻¹]
10.
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)
11.
Which of the following is dimensionless according to NCERT?
A.
Refractive index (speed of light in vacuum / speed in medium)
B.
Electric field intensity
C.
Magnetic flux
D.
Power
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ANSWER :
A. Refractive index (speed of light in vacuum / speed in medium)
12.
The dimensions of the coefficient of viscosity are:

NEET - 2017

A.
[ML⁻¹T⁻¹]
B.
[MLT⁻²]
C.
[ML⁻¹T⁻¹]
D.
[M⁻¹L⁻¹T⁻²]
😑 View Answer Rough Work Error
ANSWER :
C. [ML⁻¹T⁻¹]