A wave has a frequency of 50HZ and a wave length of 40cm Calculate The distance btw successive Crest The Wave speed The period of time

The distance between successive crests is defined as the wavelength ($\lambda$).
The wavelength is given as $40 \text{ cm}$.

$$\text{Distance between successive crests} = \lambda = \boxed{\text{40 cm}}$$

The wave speed ($v$) is calculated using the formula $v = f \lambda$, where $f$ is the frequency and $\lambda$ is the wavelength.
Given:
Frequency ($f$) = $50 \text{ Hz}$
Wavelength ($\lambda$) = $40 \text{ cm} = 0.40 \text{ m}$

Substitute the values into the formula:

$$v = f \lambda$$ $$v = (50 \text{ Hz}) \times (0.40 \text{ m})$$ $$v = \boxed{\text{20 m/s}}$$

The period ($T$) is the reciprocal of the frequency ($f$).
The formula is $T = \frac{1}{f}$.
Given:
Frequency ($f$) = $50 \text{ Hz}$

Substitute the value into the formula:

$$T = \frac{1}{f}$$ $$T = \frac{1}{50 \text{ Hz}}$$ $$T = \boxed{\text{0.02 s}}$$