Question

A tuned amplifier circuit is used to generate a carrier frequency of 2 MHz for the amplitude modulation. The value of $\sqrt{LC}$ is

• A. $\frac{1}{2\pi \times {10}^6}$
• B. $\frac{1}{2\times {10}^6}$
• C. $\frac{1}{3\pi \times {10}^6}$
• D. $\frac{1}{4\pi \times {10}^6}$

Answer 1

The correct option is D $\frac{1}{4\pi \times {10}^6}$

Given : $\nu =2$ MHz $=2\times {10}^6$ Hz

Using $w=\frac{1}{\sqrt{LC}}$ where $w=2\pi \nu$

$⟹$ $\sqrt{LC}=\frac{1}{2\pi \nu }=\frac{1}{4\pi \times {10}^6}$