Dimensional Analysis and its Applications NEET Questions

Physics - Physics and Measurement
Dimensional Analysis and its Applications

Dimensional Analysis and its Applications MCQ Questions


7.
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)
8.
Which of the following equations for kinetic energy K is RULED OUT by dimensional analysis? (K has dimensions [ML²T⁻²])
A.
K = (3/16)mv²
B.
K = \( \frac{1}{2} \)mv²
C.
K = m²v³
D.
Both A and B are ruled out
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ANSWER :
C. K = m²v³
9.
K = \( \frac{1}{2} \)mv² + ma is ruled out by dimensional analysis because:
A.
\( \frac{1}{2} \) is not dimensionless
B.
[\( \frac{1}{2} \)mv²] = [ML²T⁻²] and [ma] = [MLT⁻²] — two terms with DIFFERENT dimensions are added
C.
v² has wrong dimensions for energy
D.
m appears twice in the expression
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ANSWER :
B. [\( \frac{1}{2} \)mv²] = [ML²T⁻²] and [ma] = [MLT⁻²] — two terms with DIFFERENT dimensions are added
10.
Which of the following kinematic equations is dimensionally INCORRECT?
A.
v = u + at
B.
s = ut + \( \frac{1}{2} \)at²
C.
v² = u + 2as
D.
v² = u² + 2as
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ANSWER :
C. v² = u + 2as
11.
Check dimensional consistency of F = mv²/r (centripetal force). Dimensions of RHS are:
A.
[ML²T⁻²]
B.
[MLT⁻²] — same as force
C.
[ML⁻¹T⁻²]
D.
[MLT⁻¹]
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ANSWER :
B. [MLT⁻²] — same as force
12.
Verify E = mc² dimensionally. RHS = [mc²] gives:
A.
[ML²T⁻²] = same as energy
B.
[MLT⁻²] = same as force
C.
[ML²T⁻³] = same as power
D.
[M²L²T⁻²]
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ANSWER :
A. [ML²T⁻²] = same as energy
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