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Question: 1 Giga Ohm (1G\(\Omega \) )= (A)\({{10}^{3}}\Omega \) (B)\({{10}^{6}}\Omega \) (C)\({{10}^{9...

1 Giga Ohm (1GΩ\Omega )=
(A)103Ω{{10}^{3}}\Omega
(B)106Ω{{10}^{6}}\Omega
(C)109Ω{{10}^{9}}\Omega
(D)10Ω10\Omega

Explanation

Solution

Giga is a standard unit of measurement that is used while writing down measurements with higher dimensions. It is written as G in short and its value is different in physics and computing. Since we are sticking to the value defined when used in physics, we will define Giga or G accordingly.

Formula used: 1 Giga=109{{10}^{9}}

Complete step by step answer:
1 Giga represents a measurement of 10 times to the power of 9. Thus it is a large unit o for measurement. In computing it represents even a bigger quantity of 10 times to the power of 20. But now in terms of physics we stick to the former definition of Giga as follows:
1 Giga=109{{10}^{9}}
Ohm is a unit of measurement required to measure the resistances of resistors. When we say 1 Giga Ohm, it means 10 to the power 9 times of 1 ohmic unit. It is indeed a very large quantity to be measured.
∴1GΩ=109Ω\therefore 1G\Omega ={{10}^{9}}\Omega

So, the correct answer is “Option C”.

Additional Information: A few other commonly used quantities that are needed during measurement to make the representation of units easier are given below:
Mega=106{{10}^{6}}
Micro=10−6{{10}^{-6}}
Nano=10−9{{10}^{-9}}
Pico=10−12{{10}^{-12}}

Note: The above quantities are to be kept in mind as they are frequently used on conversions and also to represent measurable quantities easily. By further avoiding the many zeroes or decimal points, it makes it easier to express very large numbers and very small numbers without much trouble. Thus it makes for a convenient system to express measurements.