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Test: Dimensions of Physical Quantities (NCERT) - NEET MCQ


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5 Questions MCQ Test Physics Class 11 - Test: Dimensions of Physical Quantities (NCERT)

Test: Dimensions of Physical Quantities (NCERT) for NEET 2024 is part of Physics Class 11 preparation. The Test: Dimensions of Physical Quantities (NCERT) questions and answers have been prepared according to the NEET exam syllabus.The Test: Dimensions of Physical Quantities (NCERT) MCQs are made for NEET 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Dimensions of Physical Quantities (NCERT) below.
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Test: Dimensions of Physical Quantities (NCERT) - Question 1

Which of the following physical quantities has a unit but no dimensions?

Detailed Solution for Test: Dimensions of Physical Quantities (NCERT) - Question 1

Among the given physical quantities angle has a unit but no dimensions. Angle = [M°L°T°]
The SI unit of angle is radian.

Test: Dimensions of Physical Quantities (NCERT) - Question 2

Which of the following physical quantities has neither units nor dimensions?

Detailed Solution for Test: Dimensions of Physical Quantities (NCERT) - Question 2

Relative density is the ratio of two like quantities.
Therefore, it has neither unit nor dimensions.

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Test: Dimensions of Physical Quantities (NCERT) - Question 3

A dimensionless quantity

Detailed Solution for Test: Dimensions of Physical Quantities (NCERT) - Question 3

A dimensionless quantity need not always have a unit, example: angular displacement, θ is dimensionless but has a unit of radians, and quantities like co-efficient of friction, have no dimensions and no units.

Test: Dimensions of Physical Quantities (NCERT) - Question 4

Which of the following pairs of physical quantities have same dimensions?

Detailed Solution for Test: Dimensions of Physical Quantities (NCERT) - Question 4

we know, force = mass × acceleration
energy = Workdone = force × displacement
power = energy/time
torque = force × perpendicular distance between force and axis of rotation. now, by these formula, find dimension of all terms.
Example: dimension of force = [MLT⁻²]
dimension of energy = [ML²T⁻²]
dimension of power = [ML²T⁻³]
dimension of torque = [ML²T⁻²]
Here it is clear that dimension of energy and dimension of torque are equal.
Hence, option (b) is correct.

Test: Dimensions of Physical Quantities (NCERT) - Question 5

If P, Q, R are physical quantities, having different dimensions, which of the following combinations can never be a meaningful quantity?

Detailed Solution for Test: Dimensions of Physical Quantities (NCERT) - Question 5

Physical quantities having different dimensions cannot be added or subtracted.
As P, Q and R are physical quantities having different dimensions, therefore they can neither be added nor be subtracted.
Thus, (a) can never be a meaningful quantity.

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