Question

OSCilloscope shows wave starts cycle minimum 20 units reaches max of 100 units before completing 5 milliseconds what is relationship between time and wave function

Answer 1

Answer:

$T=0.02\ s$

$f=50\ Hz$

Explanation:

Given:

• minimum amplitude at the start of oscillation cycle, $a_0=20\ unit$

• the first maximum amplitude after the start of oscillation cycle, $a_{m1}=100\ units$

• Time taken to reach from the first minima to the first maxima, $t=5\times 10^{-3}\ s$

As we know that an oscilloscope executes a wave cycle represented by a sine wave. So we can deduce that it  has executed one-fourth of the cycle in going from the amplitude of 20 units to 100 units in 0.005 seconds.

So the time taken to complete one cycle of the oscillation:

$T=4\times 0.005$

$T=0.02\ s$ is the time period of the oscillation

We know frequency:

$f=\frac{1}{T}$

$f=\frac{1}{0.02}$

$f=50\ Hz$