Answer

Verified

19.2k+ views

**Hint:**In every system of measurement of a unit, each quantity is represented by a base unit. For example, in the metric system, the basic unit of length is metre. However, all the lengths measured in the metric system are not directly written in the units of metre. Hence, we make use of powers in terms of the basic unit to measure the quantity.

**Complete step by step answer:**

The magnitudes in which the units of a quantity are expressed, is based more on convenience of the usage rather than the actual base unit.

For example, if the length of a small tennis ball is to be measured, we measure it in terms of centimetres or 1/100th of a metre. Conversely, if the distance between two cities is to be measured, we measure it in terms of kilometres or 1000 times that of the metre.

Depending on the magnitude of the powers of the basic unit, there are two kinds of units: Microscopic and Macroscopic.

Microscopic units are in powers less than 1/10. Example are centi-, milli-, micro- and nano-

Macroscopic units are in powers above 10 like kilo, mega, giga, tera etc.

However, for extremely large powers such as astronomical distances which have very high powers of kilometres, two special units of length are derived. They are:

i) Parsec

ii) Light Year

Parsec is used to measure distances outside the solar systems. One parsec is equal to 31 trillion kilometres.

1 trillion is equal to ${10^{12}}$. 1 trillion kilometres in metres will be equal to ${10^{12}} \times {10^3} = {10^{15}}$.

Thus, 1 parsec = $31 \times {10^{15}}m$.

**Hence, the correct option is Option C.**

**Note:**Another astronomical unit mentioned here is the light year. It is defined as the distance travelled by light in the time interval of 1 year.

1 light year = 9.46 trillion kilometres = $9 \cdot 46 \times {10^{15}}m$

Hence, the unit parsec is greater than light-year.

Recently Updated Pages

If a wire of resistance R is stretched to double of class 12 physics JEE_Main

Let f be a twice differentiable such that fleft x rightfleft class 11 maths JEE_Main

Find the points of intersection of the tangents at class 11 maths JEE_Main

For the two circles x2+y216 and x2+y22y0 there isare class 11 maths JEE_Main

The path difference between two waves for constructive class 11 physics JEE_MAIN

What is the difference between solvation and hydra class 11 chemistry JEE_Main

Other Pages

The mole fraction of the solute in a 1 molal aqueous class 11 chemistry JEE_Main

Write short notes on the following carbylamine rea class 12 chemistry JEE_Main

Electric field due to uniformly charged sphere class 12 physics JEE_Main

Formula for number of images formed by two plane mirrors class 12 physics JEE_Main

If a current of 15 ampere flows through a metallic class 12 chemistry JEE_Main

Derive an expression for maximum speed of a car on class 11 physics JEE_Main