1: A) Starting with two slits, separated by a distance "d," derive the key relation(s) associated with locating interference patterns.

B) Explain the effect on interference patterns if the number of slits is increased (but "d" remains the same).

C) Outline an experiment you can perform to determine the wavelength of a laser pointer (max intensity of 5mWatt) using "basic" lab equipment.

In a Young's double-slit experiment the wavelength of light used is 462 nm (in vacuum), and the separation between the slits is 2.1 × 10^-6 m. Determine the angle that locates (a) the dark fringe for which m = 0, (b) the bright fringe for which m = 1, (c) the dark fringe for which m = 1, and (d) the bright fringe for which m = 2.

An ordinary (fair) die is a cube with the numbers through on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment. Compute the probability of each of the following events.

Event A : The sum is greater than 5 .

Event B: The sum is an even number.

Senario: You are watching a group of children run relay races. You would like to determine the speed of that the children run. You select 30 children and time them in their relay races.

e) What is the parameter for the study?

f. What is the statistic for the study?

g. Is the study an experiment or an observational study?

h. For the study, should you use a proportion or an average?

A government agency is putting a large project out for low bid. Bids are expected from 10 different contractors and will have a normal distribution with a mean of $3.5 million and a standard deviation of $0.25 million. Devise and implement a sampling experiment for estimating the distribution of the of the minimum bid and the expected value of the minimum bid. what is the average minimum bid in millions that you found?

Consider a binomial experiment with n=13 and p=0.3

a. Compute f(0) (to 4 decimals).

b. Compute f(8) (to 4 decimals).

c. Compute P(x<=2) (to 4 decimals).

d. Compute P(x>=4) (to 4 decimals).

e. Compute E(x) (to 1 decimal).

f. Compute Var(x) and ó.

Iwhen performing the experiment for magnesium oxide :

Why is the empty crucible and cover fired to heat?

How critical are the suggested times for heating and cooling?

How can you tell when the magnesium metal has reacted cmpletely?

How cn you tell when the copper wire has reacted compleely?

What are the major sources of experimental error?

Experiment shows that the reaction 6I−(aq) + BrO3 −(aq) + 6H+(aq) ⟶ 3I2 (aq) + Br−(aq) + 3H2O(l) obeys this rate law: rate = k[I- ][BrO3 ][H+] 2 .

(a) What is the reaction order in each reactant and the overall reaction order?

(b)By what factor does the rate change if [I−] and [BrO3 −] are tripled and [H+] is doubled?

(A) Discuss the probability of landing on heads if you flipped a coin 10 times?

(B) What is the probability the coin will land on heads on each of the 10 coin flips?

(C) Apply this same binomial experiment to a different real-world situation. Describe a situation involving probability?

please explain each and show work. showing the steps to the answer would be great..

Your friend gives you their special plant food and claims it will make your plant grow much faster than water alone does.

Describe a simple experiment you can do to test the hypothesis that "special plant food will make plants grow faster". You have two plants, water, the special plant food and a measuring stick.