Answer
417.3k+ views
Hint: The SI units and the CGS unit system should be known to solve this problem. The definition of the retardation should be known to derive the unit of this. The SI unit of the retardation should be known, as well as, the CGS unit of the retardation should be known.
Complete step by step solution:
Firstly, let us know the definition of retardation. The opposite of the acceleration, the deceleration, is also called the retardation. The decreasing velocity of the body/object is known as the retardation. Or, in other words, the rate of decrease in the velocity of a body is called the retardation.
The unit of the acceleration is the same as the unit of the retardation, as, both the physical quantities are the same but with the opposite direction.
Now, let us know about the unit systems, that is, the SI units and the CGS systems. SI units are also called the International System of units to define the units of the physical properties, only of the 7 quantities in terms of meter, kilogram, second, mole, kelvin, candela and ampere. Whereas, the CGS system defines the units of the physical properties using mainly three parameters, such as centimetre for length, gram for the weight and second for the time.
The SI unit of the retardation is \[m{{s}^{-2}}\], in CGS system, the unit of the retardation is \[cm{{s}^{-2}}\].
Now, we will compute the ratio of these units. So, we have,
\[\dfrac{m{{s}^{-2}}}{cm{{s}^{-2}}}=\dfrac{m}{cm}\]
Now substitute the value of the meter in terms of centimeter. We know that 1 meter equals 100 cm, so we will make use of the same value.
\[\begin{align}
& \dfrac{m{{s}^{-2}}}{cm{{s}^{-2}}}=\dfrac{100cm}{cm} \\
& \Rightarrow \dfrac{m{{s}^{-2}}}{cm{{s}^{-2}}}=\dfrac{100}{1} \\
\end{align}\]
Therefore, the ratio of SI units to CGS units of retardation is 100.
So, the correct answer is “Option B”.
Note: Not only the definition of the retardation but also the definitions of the SI units and the CGS system should be known to solve this problem. In this question, in order to obtain the ratio, we have converted the unit from one system to the other, that is, from the meter to cm. Thus, even this conversation should be known.
Complete step by step solution:
Firstly, let us know the definition of retardation. The opposite of the acceleration, the deceleration, is also called the retardation. The decreasing velocity of the body/object is known as the retardation. Or, in other words, the rate of decrease in the velocity of a body is called the retardation.
The unit of the acceleration is the same as the unit of the retardation, as, both the physical quantities are the same but with the opposite direction.
Now, let us know about the unit systems, that is, the SI units and the CGS systems. SI units are also called the International System of units to define the units of the physical properties, only of the 7 quantities in terms of meter, kilogram, second, mole, kelvin, candela and ampere. Whereas, the CGS system defines the units of the physical properties using mainly three parameters, such as centimetre for length, gram for the weight and second for the time.
The SI unit of the retardation is \[m{{s}^{-2}}\], in CGS system, the unit of the retardation is \[cm{{s}^{-2}}\].
Now, we will compute the ratio of these units. So, we have,
\[\dfrac{m{{s}^{-2}}}{cm{{s}^{-2}}}=\dfrac{m}{cm}\]
Now substitute the value of the meter in terms of centimeter. We know that 1 meter equals 100 cm, so we will make use of the same value.
\[\begin{align}
& \dfrac{m{{s}^{-2}}}{cm{{s}^{-2}}}=\dfrac{100cm}{cm} \\
& \Rightarrow \dfrac{m{{s}^{-2}}}{cm{{s}^{-2}}}=\dfrac{100}{1} \\
\end{align}\]
Therefore, the ratio of SI units to CGS units of retardation is 100.
So, the correct answer is “Option B”.
Note: Not only the definition of the retardation but also the definitions of the SI units and the CGS system should be known to solve this problem. In this question, in order to obtain the ratio, we have converted the unit from one system to the other, that is, from the meter to cm. Thus, even this conversation should be known.
Recently Updated Pages
Mark and label the given geoinformation on the outline class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When people say No pun intended what does that mea class 8 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Name the states which share their boundary with Indias class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give an account of the Northern Plains of India class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Advantages and disadvantages of science
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Bimbisara was the founder of dynasty A Nanda B Haryanka class 6 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
10 examples of evaporation in daily life with explanations
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
How do you graph the function fx 4x class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)