Answer

Verified

438.3k+ views

**Hint**

It is known that the units which can neither be derived from other units nor they can be further resolved into simpler units are called fundamental units. Examples: Mass, length etc. Those units which can be expressed in terms of the fundamental units are called derived units. The International System of Units is the modern form of the metric system. A unit is the measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity. Based on this we have to solve this question.

**Complete step by step answer**

Energy $ =(1/2)\text{m}{{\text{v}}^{2}} $

so $ \mathrm{E} $ is proportional to $ \text{m}{{\text{v}}^{2}} $ .

$ \text{E}=10\text{J}=10\text{Kg}{{(\text{m}/\text{s})}^{2}} $

$ 10\text{J}=10\text{Kg}{{(\text{m}/\text{s})}^{2}}=10\times 1000\text{g}\times {{(100\text{cm}/\text{s})}^{2}} $

$ =10\times 10\times (100\text{g})\times {{(10\times 10\text{cm}/\text{s})}^{2}} $

$ =100\times (100g)\times {{(10\times 30\times 10\text{cm}/30\text{s})}^{2}} $

$ =100\times (100\text{g})\times {{(300\times 10\text{cm}/30\text{s})}^{2}} $

$ =100\times {{(300)}^{2}}\times (100g){{(10cm/30s)}^{2}} $

$ =9000000\times 100g{{(10\text{cm}/30\text{s})}^{2}} $

$ =9000000 $ new unit

$ =9\times {{10}^{6}} $

**Therefore, Option (C) is the correct answer.**

**Note**

So, we can say that the use of a single unit of measurement for some quantity has obvious drawbacks. For example, it is impractical to use the same unit for the distance between two cities and the length of a needle. Thus, historically they would develop independently. One way to make large numbers or small fractions easier to read, is to use unit prefixes. At some point in time though, the need to relate the two units might arise, and consequently the need to choose one unit as defining the other or vice versa. For example, an inch could be defined in terms of a barleycorn. A system of measurement is a collection of units of measurement and rules relating them to each other.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Mark and label the given geoinformation on the outline class 11 social science CBSE

When people say No pun intended what does that mea class 8 english CBSE

Name the states which share their boundary with Indias class 9 social science CBSE

Give an account of the Northern Plains of India class 9 social science CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Trending doubts

Difference Between Plant Cell and Animal Cell

Which are the Top 10 Largest Countries of the World?

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

How do you graph the function fx 4x class 9 maths CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths