SATHEE: Physics And Measurement Question 64

Physics And Measurement Question 64

Question: Of the following quantities, which one has dimensions different from the remaining three

[AIIMS 1987; CBSE PMT 1993]

Options:

A) Energy per unit volume

B) Force per unit area

C) Product of voltage and charge per unit volume

D) Angular momentum per unit mass

Show Answer

Answer:

Correct Answer: D

Solution:

Energy per unit volume = $\frac{[M L^{2} T^{- 2}]}{[L^{3}]} = [M L^{- 1} T^{- 2}]$ F

orce per unit area = $\frac{[M L T^{- 2}]}{[L^{2}]} = [M L^{- 1} T^{- 2}]$

Product of voltage and charge per unit volume $= \frac{V \times Q}{V o l u m e} = \frac{V I t}{V o l u m e} = \frac{P o w e r \times T i m e}{V o l u m e}$
$\Rightarrow$

$\frac{[M L^{2} T^{- 3}] [T]}{[L^{3}]} = [M L^{- 1} T^{- 2}]$

Angular momentum per unit mass = $\frac{[M L^{2} T^{- 1}]}{[M]} = [L^{2} T^{- 1}]$

So angular momentum per unit mass has different dimension.

Physics And Measurement Question 64

Question: Of the following quantities, which one has dimensions different from the remaining three

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

Physics And Measurement Question 64

Question: Of the following quantities, which one has dimensions different from the remaining three

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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