Question

1. a wave has a frequency of 5 cycles/s. how many cycles would occur in 25 s? 5 marks

1. a wave has a frequency of 10 cycles/s (1.0*10¹ hz). how long would it take for the wave to make 47 cycles? 5 marks

Explanation:

Step1: (Q4) Use frequency-time relationship

Number of cycles = Frequency × Time
$\text{Cycles} = 5\ \text{cycles/s} \times 25\ \text{s}$

Step2: (Q4) Calculate total cycles

$\text{Cycles} = 125$

Step3: (Q5) Rearrange for time

Time = $\frac{\text{Number of Cycles}}{\text{Frequency}}$
$\text{Time} = \frac{47\ \text{cycles}}{10\ \text{cycles/s}}$

Step4: (Q5) Compute time value

$\text{Time} = 4.7\ \text{s}$

Answer:

1. 125 cycles
2. 4.7 s