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

`T=0.02\ s`

`f=50\ Hz`

Step-by-step 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* 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* 0.005`

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

We know frequency:

`f=(1)/(T)`

`f=(1)/(0.02)`

`f=50\ Hz`