## anonymous one year ago 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.

1. Astrophysics

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

2. anonymous

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

3. Astrophysics

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

4. anonymous

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

5. Astrophysics

$f = \frac{ v }{ \lambda }$

6. Astrophysics

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

7. anonymous

8. Astrophysics

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

9. anonymous

decrease.

10. Astrophysics

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

11. anonymous

Then we have a frequency that goes higher.

12. Astrophysics

Exactly!

13. anonymous

*increases

14. anonymous

15. anonymous

A & C

16. anonymous

oops no. A

17. Astrophysics

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

18. anonymous

Im lost with everything passed T = 1

19. anonymous

First time in physics ....

20. anonymous

I know wavelength symbol.

21. 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).

22. anonymous

Right

23. Astrophysics

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

24. anonymous

indeed

25. Astrophysics

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

26. Astrophysics

That means the only answer will be? :)

27. anonymous

I had come back and say A

28. Astrophysics

Right A, seems best to me as well :)

29. anonymous

said*

30. Astrophysics

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

31. 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

32. Astrophysics

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

33. anonymous

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

34. Astrophysics

and $T = \frac{ \lambda }{ v }$

35. Astrophysics

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

36. Astrophysics

Try it yourself

37. anonymous

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

38. Astrophysics

Looks good

39. 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.

40. anonymous

I am thinking d.

41. anonymous

Because frequency goes up and down.

42. Astrophysics

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

43. Astrophysics

$T = \frac{ 1 }{ f } \implies f = \frac{ 1 }{ T }$

44. anonymous

A

45. anonymous

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

46. Astrophysics

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

47. anonymous

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

48. anonymous

So, B.

49. Astrophysics

Yeah :)

50. 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.

51. anonymous

Doubles