The figure shows a wave generated in 0.2 s. Its speed is:
A400 m/s
B40 m/s
C4 m/s
D0.4 m/s
Answer:
B. 40 m/s
Read Explanation:
The figure shows a wave generated in 0.2 s. Its speed is:
Based on the provided figure and information, the speed of the wave is 40 m/s.
To find the wave speed, you need to determine its wavelength and frequency.
1. Find the Wavelength (λ)
A wavelength is the distance over which the wave's shape repeats. From the figure, the horizontal distance shown is 8 m, which contains 2 full cycles (or waves).
1 cycle is from one peak to the next or one trough to the next.
The diagram shows 4 crests (peaks) and 3 troughs (low points). This is equivalent to 3.5 cycles.
The distance for 2 cycles is 8m.
So, the distance of one cycle, the wavelength (λ), is:
λ=Number of CyclesTotal Distance=28 m=4 m
2. Find the Frequency (f)
Frequency is the number of cycles per unit of time. The figure states that the wave was generated in 0.2 s.
The wave has 2 cycles in 0.2 s.
So, the frequency (f) is:
f=TimeNumber of Cycles=0.2 s2=10 Hz
3. Calculate the Wave Speed (v)
The speed of a wave is calculated using the formula:
v=f×λ
v=10 Hz×4 m=40 m/s
The 10 cm dimension on the vertical axis represents the amplitude of the wave and is not needed to calculate the speed.