A wave oscillates 50 times per second. What is its frequency?
2 answers:
Answer:
Frequency of the wave is f = 50 Hz
Explanation:
It is given that, a wave oscillates 50 times per second. The number of oscillations per second is called frequency of a wave. Mathematically, it can be written as:
Here, number of oscillations, n = 50
So, frequency of this wave is equivalent to 50 Hz. It is equal to number of cycles per second.
So, the correct option is (b). Hence, this is the required solution.
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When we represent what is given to us on a coordinate plane, we have a figure as shown in the attachment.
To find the distance between P and R, we have to find the Net Displacement of the ship (brown arrow in the figure).
For that, we use the rules for Vector addition.
We see that the first displacement = 30 km (blue arrow) is along the y-axis, but the second part of the ship's journey
= 20 km (red arrow) is at an angle with reference to y-axis.
So, we first find the components of the red arrow along X and Y.
Component of along X-axis is given by
= 10 km
Component of along Y-axis is given by
= 17.32 km
We now add all the vectors along X and along Y separately.
Net Displacement along X
Net Displacement along Y = 47.32 km
Now that we have the components of the net displacement along X and Y, we make use of Pythagorean Theorem to calculate the
Therefore, [tex]D_{net} = 48.37 km.
Hence, the distance between the ports P and R is 48 km.
