# The Amplitude of 1 I is Equal to - Mathematics

MCQ

The amplitude of $\frac{1}{i}$ is equal to

#### Options

• 0

• $\frac{\pi}{2}$

• $- \frac{\pi}{2}$

•  π

#### Solution

$- \frac{\pi}{2}$

$\text { Let } z = \frac{1}{i}$

$\Rightarrow z=\frac{1}{i}\times\frac{i}{i}$

$\Rightarrow z=\frac{i}{i^2}$

$\Rightarrow z=-i$

$\text { Since } , z \left( 0, - 1 \right) \text { lies on the negative imaginary axis } .$

$\text { Therefore, } \arg (z) = \frac{- \pi}{2}$

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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 13 Complex Numbers
Q 30 | Page 65