Two lasers are shining on a double slit, with slit separationd. Laser 1 has a wavelength of d/20, whereas laser 2 has a wavelength of d/15. The lasers produce separate interference patternson a screen a distance 5.00 {\rm m} away from the slits.
Part A
Which laser has its first maximum closer to the centralmaximum?
Part B
What is the distance Deltay_max-max between the first maxima (on the same side of thecentral maximum) of the two patterns?
Part B.1
Find the location of the first maximum for laser1
Part B.2
Find the location of the first maximum for laser2Part C
What is the distance Deltay_max-min between the second maximum of laser 1 and the thirdminimum of laser 2, on the same side of the central maximum?

a) laser 1 has the maximum closest to the central maximum

b) y₂ –y₁ = L 1.66 10⁻²

Explanation:

a), B1, B2)  The expression that describes the constructive interference for a double slit is

            d sin θ = m λ

The pattern is observed on a screen

            tan θ = y / L

Since the angles are very small

           tan θ = sin θ / cos θ = sin θ = y/L

           d y / L = m λ  

In this case the laser has a wavelength

           λ ₁ = d/20

We substitute

            d y / L = m d / 20

            m = 1

            y₁ = L / 20

For the laser 2 λ ₂= d / 15

             y₂ = L / 15

When examining the two expressions, laser 1 has the maximum closest to the central maximum

b) the difference between the two patterns is

            y₂- y₁ = L (1/15 - 1/20)

           y₂ –y₁ = L 1.66 10⁻²

C) laser 1 second maximum

          y₁ ’= 2 L / 20

          y₁ ’= L 0.1

Laser 2 third minimum

To have a minimum, the equation must be satisfied

           d sin θ = (m + ½) λ  

           d y / L = (m + ½) λ  

           d y / L = (m + ½) d / 15

           y = L (m +1/2) / 15

           m = 3

           y₂’= L (3 + ½) / 15

           y₂’= L 0.2333

The difference is

           y₁ ’- y₂’ = L (0.1 - 0.2333)

          y₁ ’–y₂’ = L (-0.133)

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///scientific method;