The period of a wave:
a. decreases with increasing frequency.
b. increases with increasing frequency.
c. increases with decreasing wavelength.
d. a and c only.
none of the above.

- anonymous

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- Astrophysics

\[T = \frac{ 1 }{ f }\] what can we say about this formula (period)?

- anonymous

That whichever number is below the 1 in the fraction is going to be the number itself?

- Astrophysics

Plug in some large and small numbers and see what happens and relate it to your options.

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## More answers

- anonymous

That whichever number is below the 1 in the fraction is going to be the number itself?

- Astrophysics

\[f = \frac{ v }{ \lambda }\]

- Astrophysics

I don't know what you mean, can you elaborate, I don't see how it has to do with your question?

- anonymous

You asked what could I tell you about the first equation.

- Astrophysics

\[T = \frac{ 1 }{ 10000000 }\] what happens if the frequency is that high, will the period decrease or increase?

- anonymous

decrease.

- Astrophysics

Yes, now if we have \[T = \frac{ 1 }{ 0.000000001 }\]

- anonymous

Then we have a frequency that goes higher.

- Astrophysics

Exactly!

- anonymous

*increases

- anonymous

The answer is D

- anonymous

A & C

- anonymous

oops no. A

- Astrophysics

Now if we plug \[\huge T = \frac{ 1 }{ \frac{ v }{ \lambda } } \implies \frac{ \lambda }{ v }\] what happens?

- anonymous

Im lost with everything passed T = 1

- anonymous

First time in physics ....

- anonymous

I know wavelength symbol.

- Astrophysics

Well lets say the speed is constant, \[T = \frac{ \lambda }{ c }\] now if the period increases will the wavelength decrease or increase (the upside down y called lambda is the wavelength).

- anonymous

Right

- Astrophysics

All of these formulas are related so it's kind of neat you can rearrange them to find relations between them.

- anonymous

indeed

- Astrophysics

So it's not c, if the period increases the wavelength will as well

- Astrophysics

That means the only answer will be? :)

- anonymous

I had come back and say A

- Astrophysics

Right A, seems best to me as well :)

- anonymous

said*

- Astrophysics

Yes, I know but we had to go through all the options to make sure.

- anonymous

Which produces a period of 0.1 seconds?
a. a wave with a frequency of 5 Hz
b. a wave with a wavelength of 7 m
c. a wave with a frequency of 10 Hz
d. a wave with a speed of 5 m/s

- Astrophysics

Use the formula I provided earlier, \[T = \frac{ 1 }{ f }\]

- anonymous

Well that means the answer can only be either a or c ha.

- Astrophysics

and \[T = \frac{ \lambda }{ v }\]

- Astrophysics

No don't just assume that because I did not give you all the formulas

- Astrophysics

Try it yourself

- anonymous

T=1/10.
T= 0.1. The answer is C.

- Astrophysics

Looks good

- anonymous

The frequency of a wave:
a. increases with increasing period.
b. decreases with increasing period.
c. increases with increasing wavelength.
d. a and c only.

- anonymous

I am thinking d.

- anonymous

Because frequency goes up and down.

- Astrophysics

We're just going backwards from your first question here, do the same thing plug in some numbers

- Astrophysics

\[T = \frac{ 1 }{ f } \implies f = \frac{ 1 }{ T }\]

- anonymous

A

- anonymous

The number change up when plugging in the digits was pretty cool to see.

- Astrophysics

Are you sure? Would frequency increase if period increases? \[f = \frac{ 1 }{ T } = \frac{ 1 }{ 100000000 }\]

- anonymous

Oh. Frequency decreases with the increased period. That earlier question had me a little confused.

- anonymous

So, B.

- Astrophysics

Yeah :)

- anonymous

The period of a vibrating object is halved if its frequency:
a. triples.
b. increases by one and a half times.
c. increases by three and a half times.
d. quadruples.
e. doubles.

- anonymous

Doubles

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