Physics, 08.01.2020 00:31 Morganwing1019

Monochromatic electromagnetic radiation with wavelength lambda from a distant source passes through a slit. the diffraction pattern is observed on a screen 2.50 m from the slit. a: if the width of the central maximum is 6.00 mm, what is the slit width if the wavelength is 500 nm (visible light)? b: if the width of the central maximum is 6.00 mm , what is the slit width if the wavelength is 50.0 um (infrared radiation)? c: if the width of the central maximum is 6.00 mm, what is the slit width if the wavelength is 0.500 nm (x rays)?

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Answer from: tiwaribianca475

(a) $4.2\cdot 10^{-4} m$

The formula for the diffraction from a single slit is:

$y=\frac{n\lambda D}{d}$

where

y is distance of the nth-minimum from the centre

n is the order of the minimum

$\lambda$ is the wavelength

D is the distance of the screen from the slit

d is the slit width

In this problem:

D=2.50 m

The width of the central maximum is 6.00 m; for n=1, y represents half the width of the central maximum, so

y=3.00 mm=0.003 m

$\lambda= 500 nm = 5\cdot 10^{-7} m$

Solving the equation for d, we find the slit width:

$d=\frac{n\lambda D}{y}=\frac{(1)(5.0\cdot 10^{-7} m)(2.50 m)}{0.003 m}=4.2\cdot 10^{-4} m$

(b) 0.042 m

This time, the wavelength of the radiation is

$\lambda=50.0 \mu m= 50.0\cdot 10^{-6} m$

and again the value of y is

y=3.00 mm=0.003 m

so the slit width this time is

$d=\frac{n\lambda D}{y}=\frac{(1)(50\cdot 10^{-6} m)(2.50 m)}{0.003 m}=0.042 m$

This time, the wavelength of the x-rays is

$\lambda=0.500 nm= 5\cdot 10^{-10} m$

and again the value of y is

y=3.00 mm=0.003 m

so the slit width this time is

$d=\frac{n\lambda D}{y}=\frac{(1)(5\cdot 10^{-10} m)(2.50 m)}{0.003 m}=4.2\cdot 10^{-7} m$

Answer from: Quest

elly's long hair:

a. if the salon only takes cash, then this isn't the problem. it doesn't matter how much she has in her checking account. she can't get a haircut until she has the cash.

b. if she has overdraft protection, then there's no problem. she can go ahead and write a check that her account can't cover, then sometime later, pay the bank some outrageous usury for loaning her a few bucks for a few days, but with beautiful hair.

c. if elly has some principles, and doesn't want to write a bad check, then now she has a problem. her desire for the new hairstyle is in conflict with her honesty and integrity.

d. if the bank will not process a check she writes, then even if she had a million $$ in her account, she couldn't use any of it. the amount she has in her account is not the problem. and if i may suggest, she might as well close her checking account, and put the money where it'll work for her. it's not doing her a bit of good in a checking account, since she can't write any checks.

justin can't pay the full balance:

a. he can't even handle the credit limit he has now. under no circumstances should he ask for a higher limit.

b. he can ask for the grace period to be extended. but that's no solution, the bank will almost certainly refuse anyway, and there are much better options. he knew the rules of his credit card when he started using it.

c. he definitely should pay the interest on the balance, plus as much of the balance as he can cover at the same time.

d. he definitely should pay the minimum otherwise they could shut down his card. he should also pay as much more as he possibly can. he should also remember the awkward situation he's in, stop buying stuff on credit that he can't afford, and avoid adding any more debt.

i'd say that justin's best best option isn't on this list of choices. what he has to do: pay as much as he can at least the minimum payment plus as much more as he can and then avoid adding more debt.

Answer from: Quest

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2

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