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.
\[T = \frac{ 1 }{ f }\] what can we say about this formula (period)?
That whichever number is below the 1 in the fraction is going to be the number itself?
Plug in some large and small numbers and see what happens and relate it to your options.
That whichever number is below the 1 in the fraction is going to be the number itself?
\[f = \frac{ v }{ \lambda }\]
I don't know what you mean, can you elaborate, I don't see how it has to do with your question?
You asked what could I tell you about the first equation.
\[T = \frac{ 1 }{ 10000000 }\] what happens if the frequency is that high, will the period decrease or increase?
decrease.
Yes, now if we have \[T = \frac{ 1 }{ 0.000000001 }\]
Then we have a frequency that goes higher.
Exactly!
*increases
The answer is D
A & C
oops no. A
Now if we plug \[\huge T = \frac{ 1 }{ \frac{ v }{ \lambda } } \implies \frac{ \lambda }{ v }\] what happens?
Im lost with everything passed T = 1
First time in physics ....
I know wavelength symbol.
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).
Right
All of these formulas are related so it's kind of neat you can rearrange them to find relations between them.
indeed
So it's not c, if the period increases the wavelength will as well
That means the only answer will be? :)
I had come back and say A
Right A, seems best to me as well :)
said*
Yes, I know but we had to go through all the options to make sure.
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
Use the formula I provided earlier, \[T = \frac{ 1 }{ f }\]
Well that means the answer can only be either a or c ha.
and \[T = \frac{ \lambda }{ v }\]
No don't just assume that because I did not give you all the formulas
Try it yourself
T=1/10. T= 0.1. The answer is C.
Looks good
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.
I am thinking d.
Because frequency goes up and down.
We're just going backwards from your first question here, do the same thing plug in some numbers
\[T = \frac{ 1 }{ f } \implies f = \frac{ 1 }{ T }\]
A
The number change up when plugging in the digits was pretty cool to see.
Are you sure? Would frequency increase if period increases? \[f = \frac{ 1 }{ T } = \frac{ 1 }{ 100000000 }\]
Oh. Frequency decreases with the increased period. That earlier question had me a little confused.
So, B.
Yeah :)
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.
Doubles
Join our real-time social learning platform and learn together with your friends!