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2 years ago

The polarizing angle in air for diamond is 67.4°. calculate the critical angle inside the diamond for total internal reflection.

1 answer:

7 0

Polarizing angle, also known as Brewster's angle, is the angle at which light should be incident for reflection not to take place.
It is given by;

Polarizing angle = tan^-1 (n2/n1), where n2 = index of diamond, n1 = index of air (= 1)

Sunstituding
67.4 = tan^-1(n2/n1) => tan 67.4 = n2/1 => n2 = tan 67.4 = 2.4023

If the light moves in the opposite direction;
Sin (critical angle) = n1/n2 = 1/2.4023 = 0.4163
Critical angle = Sin^-1(0.4163) = 24.60°

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The random variable X is exponentially distributed, where X represents the waiting time to see a shooting star during a meteor s

faltersainse [42]

Answer:

The parameters of the exponential distribution is 0.0133.

Step-by-step explanation:

Exponential distribution is a continuous probability distribution.

The density function of exponential distribution is,

$f _{X}(x)=\theta \cdot e^{-\theta\cdot x},\ x\geq 0$

Here the parameter θ is the reciprocal of the mean of the random variable <em>X</em>.

The random variable <em>X</em> has an average value of 75 seconds.

Compute the parameters of the exponential distribution as follows:

$\theta=\frac{1}{\mu}\\\\$

$=\frac{1}{75}\\\\=0.013333333333\\\\\approx 0.0133$

Thus, the parameters of the exponential distribution is 0.0133.

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2 years ago

During a sale, 20-cent candy bars were sold at 3 for 50 cents. How much is saved on 9 bars?

Mazyrski [523]

Answer:

Step-by-step explanation:

$0.30

Step-by-step explanation:

1 bar of candy = $0.20

3 bars of candy = $0.50

To solve, multiply for both:

If you pay for each candy bar individually, they each cost $0.20. Multiply 9 with 0.20:

9 x 0.20 = $1.80

If you pay for the candy bars by 3's, they cost $0.50 each pack. Divide 9 with 3, then multiply by 0.50:

9/3 = 3

3 x 0.50 = $1.50

Subtract the total cost of the individual from the pack:

$1.80 - $1.50 = $0.30

. $0.30 is your answer.

8 0

2 years ago

Suppose again that we are counting the ways to distribute exams to TAs and it matters which students' exams go to which TAs. The

abruzzese [7]

The question is incorrect.

The correct question is:

Three TAs are grading a final exam.

There are a total of 60 exams to grade.

(c) Suppose again that we are counting the ways to distribute exams to TAs and it matters which students' exams go to which TAs. The TAs grade at different rates, so the first TA will grade 25 exams, the second TA will grade 20 exams and the third TA will grade 15 exams. How many ways are there to distribute the exams?

Answer: 60!/(25!20!15!)

Step-by-step explanation:

The number of ways of arranging n unlike objects in a line is n! that is ‘n factorial’

n! = n × (n – 1) × (n – 2) ×…× 3 × 2 × 1

The number of ways of arranging n objects where p of one type are alike, q of a second type are alike, r of a third type are alike is given as:

n!/p! q! r!

Therefore,

The answer is 60!/25!20!15!

6 0

2 years ago

James purchased five bonds of face value of $1,000 that paid 5% annual interest rate. the total annual interest income of james

Trava [24]

Given:
5 bonds of face value of 1,000 that paid 5% annual interest rate.

5 bonds x 1,000 = 5,000
5,000 x 5% x 1 year = 250

The total annual interest income of James is 250. Each bond earns 50 per annum.

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2 years ago

Read 2 more answers

Given the formula b=rs/t solve for s

Gekata [30.6K]

Answer:

$s = \frac{bt}{r}$