Chapter 11: Q8MCQ (page 292)

\(\left( {{{\bf{L}}^{\bf{2}}}} \right)\)represents the dimensions for which of the following?
(a) cm²
(b) square feet
(c) m²
(d) All the above

Short Answer

Expert verified

The correct option is (d).

Step by step solution

Relation between the length and area

The dimension of any quantity is defined as the extent of the measurement of a particular kind. There are three fundamental dimensions with the help of which the others are derived.

You know that the dimension of the length is \(\left( {\rm{L}} \right)\). You also know that \({\rm{Area}} = {\left( {{\rm{Length}}} \right)^2}\).

Calculation of the dimension of the area

The dimension of the area is

\(\begin{aligned}{l}A = \left( {\rm{L}} \right)\left( {\rm{L}} \right)\\A = \left( {{{\rm{L}}^{\rm{2}}}} \right)\end{aligned}\).

Here, all the given options (cm², square feet, and m²) represent the unit of the area.

Therefore, the answer will be that all the given options have the dimension \(\left( {{{\rm{L}}^{\rm{2}}}} \right)\).

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

\(\left( {{{\bf{L}}^{\bf{2}}}} \right)\)represents the dimensions for which of the following?
(a) cm²
(b) square feet
(c) m²
(d) All the above

Short Answer

Step by step solution

Relation between the length and area

Calculation of the dimension of the area

One App. One Place for Learning.

Most popular questions from this chapter

A student’s weight displayed on a digital scale is \({\bf{117}}{\bf{.2}}\;{\bf{lb}}\). This would suggest her weight is

(a) within \({\bf{1\% }}\) of \({\bf{117}}{\bf{.2}}\;{\bf{lb}}\).

(b) exactly \({\bf{117}}{\bf{.2}}\;{\bf{lb}}\).

(c) somewhere between \({\bf{117}}{\bf{.18}}\;{\bf{lb}}\) and \({\bf{117}}{\bf{.2}}\;{\bf{lb}}\).

(d) somewhere between \({\bf{117}}{\bf{.0}}\) and \({\bf{117}}{\bf{.4}}\;{\bf{lb}}\).

Recommended explanations on Physics Textbooks

Magnetism

Work Energy and Power

Conservation of Energy and Momentum

Translational Dynamics

Circular Motion and Gravitation

Rotational Dynamics

Study anywhere. Anytime. Across all devices.

\(\left( {{{\bf{L}}^{\bf{2}}}} \right)\)represents the dimensions for which of the following?(a) cm2(b) square feet(c) m2(d) All the above

Short Answer

Step by step solution

Relation between the length and area

Calculation of the dimension of the area

One App. One Place for Learning.

Most popular questions from this chapter

A student’s weight displayed on a digital scale is \({\bf{117}}{\bf{.2}}\;{\bf{lb}}\). This would suggest her weight is

(a) within \({\bf{1\% }}\) of \({\bf{117}}{\bf{.2}}\;{\bf{lb}}\).

(b) exactly \({\bf{117}}{\bf{.2}}\;{\bf{lb}}\).

(c) somewhere between \({\bf{117}}{\bf{.18}}\;{\bf{lb}}\) and \({\bf{117}}{\bf{.2}}\;{\bf{lb}}\).

(d) somewhere between \({\bf{117}}{\bf{.0}}\) and \({\bf{117}}{\bf{.4}}\;{\bf{lb}}\).

Recommended explanations on Physics Textbooks

Magnetism

Work Energy and Power

Conservation of Energy and Momentum

Translational Dynamics

Circular Motion and Gravitation

Rotational Dynamics

Study anywhere. Anytime. Across all devices.

\(\left( {{{\bf{L}}^{\bf{2}}}} \right)\)represents the dimensions for which of the following?
(a) cm²
(b) square feet
(c) m²
(d) All the above