
Specific gravity has ______ dimensions in mass, ___dimensions in length and ____ dimensions in time.
A. 0,0,0
B. 0,1,1
C. 1,0,0
D. 1,1,3
Answer
545.1k+ views
Hint: This question is based on the concept of specific gravity’s dimension For these types of questions you should know the basic rules to find out the dimensional formula of physical quantities of specific gravity.
Complete Step-by-Step solution:
According to the question we are asked about the dimensions of specific gravity. So, we should know what specific gravity is; Specific gravity can be defined as the ratio between the density of a substance and the density of a given reference substance. It is also known as relative density. The formula of specific density is = density of a substance/density of a given reference substance.
Therefore specific gravity = density of substance/density of water at ${4^ \circ }C$ .
So, we know that the formula of density which is = $\dfrac{{Mass}}{{Volume}}$
The dimensional formula of the volume is [${L^3}$] and that of mass is [M].
Therefore, the dimensional formula of density can be written as:$\dfrac{M}{{{L^3}}} = M{L^{ - 3}}$
Similarly the dimensional formula of the density of water is also $M{L^{ - 3}}$ .
Thus, the formula of specific gravity is = density of substance/ density of water ${4^ \circ }C$ .
So, the dimensional formula of specific gravity will be= $\dfrac{{M{L^{ - 3}}}}{{M{L^{ - 3}}}} = M^0L^0$ .
Therefore the units of density cancel out each other and the specific gravity becomes dimensionless.
Hence, M=0, L=0, T=0.
So, option A is the correct option.
Note: A dimensional formula can be explained as physical quantities in terms of fundamental quantities. Fundamental quantities are Mass, Length and Time knowing the Dimensional formula of specific gravity we can answer the given question.
Complete Step-by-Step solution:
According to the question we are asked about the dimensions of specific gravity. So, we should know what specific gravity is; Specific gravity can be defined as the ratio between the density of a substance and the density of a given reference substance. It is also known as relative density. The formula of specific density is = density of a substance/density of a given reference substance.
Therefore specific gravity = density of substance/density of water at ${4^ \circ }C$ .
So, we know that the formula of density which is = $\dfrac{{Mass}}{{Volume}}$
The dimensional formula of the volume is [${L^3}$] and that of mass is [M].
Therefore, the dimensional formula of density can be written as:$\dfrac{M}{{{L^3}}} = M{L^{ - 3}}$
Similarly the dimensional formula of the density of water is also $M{L^{ - 3}}$ .
Thus, the formula of specific gravity is = density of substance/ density of water ${4^ \circ }C$ .
So, the dimensional formula of specific gravity will be= $\dfrac{{M{L^{ - 3}}}}{{M{L^{ - 3}}}} = M^0L^0$ .
Therefore the units of density cancel out each other and the specific gravity becomes dimensionless.
Hence, M=0, L=0, T=0.
So, option A is the correct option.
Note: A dimensional formula can be explained as physical quantities in terms of fundamental quantities. Fundamental quantities are Mass, Length and Time knowing the Dimensional formula of specific gravity we can answer the given question.
Recently Updated Pages
Master Class 11 Economics: Engaging Questions & Answers for Success

Master Class 11 Accountancy: Engaging Questions & Answers for Success

Master Class 11 English: Engaging Questions & Answers for Success

Master Class 11 Social Science: Engaging Questions & Answers for Success

Master Class 11 Biology: Engaging Questions & Answers for Success

Master Class 11 Physics: Engaging Questions & Answers for Success

Trending doubts
Write examples of herbivores carnivores and omnivo class 10 biology CBSE

Choose the feminine form of the given noun Fox AFoxess class 10 english CBSE

Why was Kamaraj called as Kingmaker class 10 social studies CBSE

Identify the feminine form of noun nephew a shenephew class 10 english CBSE

Draw the diagram of a Rock cycle and explain it class 10 social science CBSE

Give a short note on three divisions of the Northern class 10 social science CBSE
