Question

3.97 x 10^-7 ?

Answer 1

it wants the answer in nanometers

yours is currently in meters, so simply multiply by 10^9

Answer 2

How do you find the principal level

Answer 3

ah

so you are given ni = 6 and the wavelength

you'd use the rydberg equation

1/lambda = R(1/nf^2 - 1/ni^2) to find nf

Answer 4

make sure to convert 98.3nm to meters first since the rydberg constant is in meters

Answer 5

1/(9.83x10^10) = (1.097x10^7)(1/nf^2 - 1/36)

Answer 6

wait

Answer 7

okay

Answer 8

should be -10 on that exponent

1/(9.83x10^-10) = (1.097x10^7)(1/nf^2 - 1/36)

Answer 9

I dont know why Im not getting a -10 ... oh well

Answer 10

ah

should be -8

Answer 11

93.8nm --> divide by 10^9 --> 93.8e-8 whoops

Answer 12

but anyway

1/(9.83x10^-8) = (1.097x10^7)(1/nf^2 - 1/36) should give you your nf value

Answer 13

I thought it was

Answer 14

I thought it would be divived by 10^-9

Answer 15

ah, not quite, putting a negative exponent in the denominator --> end up with a positive exponent

Answer 16

if it helps to think of it this way,

93.8 nm is only a very small portion of a meter so we would expect the result to be very small

thus we would want to divide by 10^9 not 10^(-9)

Answer 17

but what about the nano part,,, isnt nano 10^-9

Answer 18

10^(-9) would be converting m to nm

we want the other way around this time

Answer 19

oh okay I see. Since it is like the inverse the signs would change

Answer 20

like, there's two ways to write the conversion factor

1 m = 10^9nm
or
1 nm = 10^(-9) m

so both of these conversion factors would work you just gotta be careful about how to use them

Answer 21

1 m = 10^9nm
gives us
98.3nm/10^9

or
1 nm = 10^(-9) m
gives us

98.3nm*10^(-9)

both give the same result using different conversion factors

Answer 22

1/(9.83x10^-8) = (1.097x10^7)(1/nf^2 - 1/36) should give you your nf value

anyway chucking this into a calculator gives 1 as your nf value, so n = 1 is the principal energy value and thus your sol'n

Answer 23

Okay, so I got 3.31 x 10^-10

Answer 24

for this one

Answer 25

I’m on my phone so I can’t really check this easily

But it wants it as a percentage of the speed of light

So you’d solve for v in the de brogue equation then do

v/c * 100

Answer 26

so v is 2.20x10^6 its a given...


so (2.20x10^6)/(2.998x10^8) * 100

Answer 27

i got 7.34 x 10^15

Answer 28

Hm that doesn’t sound right

Anyway i need to workout but I asked someone to take over for me >>

Answer 29

OKay =)

Answer 30

Hi zarkam, I'm trusting you're using the correct numbers here.
If that's true, then I think you should get around 0.734 % as your answer.

Answer 31

To see why this is true, consider that (10^6)/(10^8)*100 simplifies to 1.
10^6 * 100 = 10^8; 10^8/10^8 = 1
So, the only relevant calculation you have to do is 2.20/2.998. As you can see for yourself, that equals about 0.734

Answer 32

where is the 2.20 coming from

Answer 33

Haha, that's the number you gave my dude.
But if we want to calculate the velocity of the particle from the information given, we can use the equation:
\[\lambda=\frac{ h }{ p }\]
where lambda stands for the de broglie wavelength of the particle, h stands for planck's constant, and p stands for the momentum of the particle (recall that momentum is equal to mass multiplied by velocity)

Answer 34

Could you explain what I did wrong here?

Answer 35

Hm, did you remember to convert the mass to kilograms when calculating momentum?

Answer 36

Nvm got it lol sorry

Answer 37

Ok, awesome

Answer 38

@SmokeyBrown I have a question> : What is the de Broglie equation used for?

Answer 39

like to find what?

Answer 40

So, the de Broglie equation describes the relationship between a particle's wavelength and its momentum (using Planck's constant)
Basically, if you have the wavelength, you can find the momentum, and if you have the momentum, you can find the wavelength.
Since momentum can be broken down into mass and velocity, you can also calculate these values, provided you have the other values required in the equation.

Answer 41

SO h wouldbe plancks.. v would be (velocity /speed) I'm confused with what m would be

Answer 42

I know it would be mass but in a problem like : Calculate the wavelength of an electron traveling with a speed of 3.21 × 105 m/s..... I don't know what the mass would be

Answer 43

Oh, for that question you'd just have to know that all electrons have approximately the same mass.
According to Google, this value is 9.10938356 × 10^-31 kilograms

Answer 44

OKay so 2.27 x 10^-9?

Answer 45

?

Answer 46

uhhhhhhh yes

Answer 47

Sorry, it took a while for me to plug that into my calculator