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Question

Question: \( 1\mu \) is (A) \( {10^{ - 6}}m \) (B) \( {10^{ - 9}}m \) (C) \( {10^{ - 10}}m \) (D) \...

1μ1\mu is
(A) 106m{10^{ - 6}}m
(B) 109m{10^{ - 9}}m
(C) 1010m{10^{ - 10}}m
(D) 103m{10^{ - 3}}m

Explanation

Solution

To measure the quantities we define a unit for them. Meter is a unit of length. We use scientific notations to write very small or very large numbers. Scientific notation is used when a number between 11 to 1010 is multiplied by a power of 1010 . Here, we will discuss these scientific notations, particularly, metric prefixes. They make calculations easy and error-free.

Complete answer:
We have a whole table of standard notations shown below in the picture.

A metric prefix is a unit that precedes a basic unit of measurement to indicate a multiple of the unit. All the metric prefixes used are decadic and each prefix has a unique symbol. They are very helpful, to write very large and very small measurements.
From the table, we can see that 1μ1\mu is a metric prefix 106{10^{ - 6}} .
Hence, the correct option is (A) 106m{10^{ - 6}}m .

Note:
Very common metric prefixes are centi (c)\left( c \right) , milli (m)\left( m \right) , micro (μ)\left( \mu \right) , nano (n)\left( n \right) , pico (p)\left( p \right) , Giga (G)\left( G \right) , mega (M)\left( M \right) , kilo (k)\left( k \right) , hecto (h)\left( h \right) .
A metric prefix is always followed by a SI unit.
To write the numbers in scientific notation, there are some rules.
-It is always written in base 1010 and the power of 1010 carries either positive or negative signs.
-The value of the coefficient is (either positive or negative) of 1010 is less than 1010 and equal to or greater than 11 .
-When we move the decimal to the left the power of 1010 increases. Similarly, when we move the decimal to the right, the power of 1010 decreases.