# A wave with a frequency of 500 Hz is traveling at a speed of 200 m/s. What is the wavelength ?

The wavelength of the wave is 0.40 m.

Frequency  f of a wave is defined as the number of waves traveling through a point in one second. Wavelength λ is the distance traveled by the wave in one complete time period. The speed of the wave v is related to frequency and wavelength by the expression,

Therefore,

Substitute 200 m/s for v and 500 Hz for f.

Thus, the wavelength of the wave is 0.40 m

The velocity of a wave is the product of the wavelength and the frequency of the wave. It is given by:

Velocity = Frequency * wavelength

Given that frequency = 500 Hz, velocity = 200 m/s, hence:

Velocity = Frequency * wavelength

200 = 500 * wavelength

Wavelength = 0.4 m

The wavelength of the wave is 0.4 m

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## Related Questions

The buoyant force on an object fully submerged in a liquid depends on (select all that apply) Answer

1. the object’s mass.

2. the object’s volume.

3. the density of the liquid.

4. the mass of the liquid

The buoyant force on an object fully submerged in a liquid depends on the object's volume.and the density of the liquid.

What is  buoyant force ?

Buoyant force also known as upthrust, is an upward force exerted by a fluid that resists the weight of a partly or completely submerged object.

The weight of the overlying fluid causes pressure to rise with depth in a column of fluid.

The buoyant force on an object fully submerged in a liquid depends on the object's volume.and the density of the liquid.

Hence option 1 and 3 is correct .

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2. The object's volume.
3. The density of the liquid.
Remember what the buoyant force is. It's the lifting force caused by the displacement of a fluid. I'm using the word fluid because it can be either a liquid or gas. For instance a helium balloon floats due to the buoyant force exceeding the mass of the balloon. So let's look at the options and see what's correct.
1. Object's mass
* This doesn't affect the buoyant force directly. It can have an effect if the object's mass is lower than the buoyant force being exerted. Think of a boat as an example. The boat is floating on the top of the water. If cargo is loaded into the boat, the boat sinks further into the water until the increased buoyant force matches the increased mass of the boat. But if the density of the object exceeds the density of the fluid, then increasing the mass of the object will not affect the buoyant force. So this is a bad choice.
2. The object's volume.
* Yes, this directly affects the buoyant force. So this is a good choice.
3. The density of the liquid.
* Yes, this directly affects the buoyant force. You can drop a piece of iron into water and it will sink. You could also drop that same piece of iron into mercury and it will float. The reason is that mercury has a much higher density than water. So this is a good choice.
4. Mass of the liquid
* No. Do not mistake mass for density. As a mental exercise, imagine the buoyant force on a small piece of metal dropped into a swimming pool. Now imagine the buoyant force on that same piece of metal dropped into a lake. In both cases, the buoyant force is the same, yet the lake has a far greater mass of water than the swimming pool. So this is a bad choice.

Which of the following statements are true concerning a stable nucleus?Check all that apply..There is a limit to the size of a stable nucleus because of the short range of the strong nuclear force.A stable nucleus contains a larger number of neutrons than protons.There is no limit to the size of a stable nucleus because of the great strength of the strong nuclear force.A stable nucleus contains nearly equal numbers of protons and neutrons.A stable nucleus contains a larger number of protons than neutrons.

There is a limit to the size of a stable nucleus because of the short range of the strong nuclear force

A stable nucleus contains nearly equal numbers of protons and neutrons

Explanation:

For an atom nucleus to be stable it has to have a balance between the strong nuclear forces keeping the protons and neutrons together against the repulsive electrostatic forces of the positively charged protons. When the nucleus is too large, the binding energy of the strong nuclear forces, that act over a short range,  may not be sufficient to hold the nucleus together hence causing instability.

A satellite in deep space is on a mission to Neptune. It fires its engines to change its velocity toward Neptune at a speed of 200 kilometers per hour. Suddenly, the engines stop working. After a few minutes, what is the velocity of the satellite?

The velocity of the satellite will be 200 kmph.

Since the satellite is in deep space, and there is nothing to restrict the motion of the satellite (No atmosphere or no friction), therefore the stopping of engine will not affect the velocity of the satellite.

Therefore the velocity of the satellite after few minutes will be 200 kmph.

Which of these is an example of competition between members of the same population in a community? A.
A pride of lions chases away a pack of hyenas trying to eat their kill.
B.
A pride of lions works together to bring down a water buffalo.
C.
A lion and a cheetah clash while stalking a gazelle.
D.
A male lion chases after another lion that invaded its territory.
A.pride of lions chases away a pack of hyenas trying to eat their kill. ?