A. Find the length of an organ pipe closed at one end that produces a first overtone frequency of 276 Hz when air temperature is 21.3ºC .

B. Find the length of an organ pipe closed at one end that produces a first overtone frequency of 276 Hz when air temperature is 21.3ºC .

C. Electromagnetic radiation having a 73.8 μm wavelength is classified as infrared radiation. What is its frequency in 10¹³ Hz?

D. Find the intensity of an electromagnetic wave having a peak magnetic field strength of 6.04×10⁻⁹ T? Give your answer in milliwatts per square meter.

E.Calculate the ratio of the highest to lowest frequencies of electromagnetic waves that an electronic sensor can see, given the wavelength range of the sensor is from 466 to 600 nm.

Water in a closed jar that contains 0.05000 mg/ L of bicarbonate, as the ion, at a pH of 8.250. Find:

a) Normality of all acid-base species (eq/L) 1 pt.

b) Exact Alkalinity of the solution (Use four significant figures; mg/L as CaCO₃) at 25°C. 1 pt.

Hint: Bicarbonate is not the only carbonate species in the water. Use the equilib. relationship:

HCO₃^- Û H⁺ + CO₃^2-   pK_a2 = 10.33 at 25°C [Table 2-3 EE&S]

c) Approximate Alkalinity of the solution by assuming that all alkalinity is due to bicarbonate and hydroxyl. Is the approximation good? Would it be valid at pH = 12? Why? 1 pt

A closed rectangular box of volume 324 cubic inches is to be made with a square base. If the material for the bottom costs twice per square inch as much as the material for the sides and top, find the dimensions of the box that minimize the cost of materials.

Given a sequence of closed intervals arranged so that each interval is a subinterval of the one preceding it and so that the lengths of the intervals shrink to zero, then there is exactly one point that belongs to every interval of the sequence. (This is known as the nested interval property)

Assume that GDP (Y ) is 5,000 in a closed economy. Consumption (C) is given by the equation C = 1,200+0.3(Y −T)−50r, where r is the real interest rate, in percent. Investment (I) is given by the equation I = 1, 500 − 50r. Taxes (T ) are 1,000, and government spending (G) is 1,500.

(a) What are the equilibrium values of C, I, and r?

(b) What are the values of private saving, public saving, and national saving? (

(c) For the given consumption function, what does the relationship between consumption and the interest rate imply about the saving schedule?

Suppose in a closed economy, the price is fixed and firms produce as much as demanded in the short run. The economy is originally in a general equilibrium. Now consider the case if its central bank tightens money supply (here tightening means reducing).

Please simply answer what happen to consumption (C) and national saving (S) in the short -run equilibrium, and what happen to P in the long run equilibrium.

1.         The closed end of a Boyle’s law crooks tube is shown to the right. The internal diameter of the tube is 4.0 mm. The tube is cylindrical topped by a hemisphere with the same radius as the tube. It is 3.8 cm from the mercury to the bottom of the hemisphere.

What is the volume of gas trapped in this tube in cm³?

2.         4.25 L of air was trapped in a balloon at sea level where the pressure is 1.00 atm. You throw it in your car and drive to red Lodge Montana (at 5500 ft) and then up the Beartooth Pass at 10,006 ft, (See the next page) where atmospheric pressure is 0.703 atm.

            What is the volume of the balloon on top of the pass?

3.         In actuality it is cold on top of this pass. The winter snow typically keeps the pass closed until about Memorial Day and sometimes July 4^th.

            Suppose the balloon was filled on a hot day when T = 28^oC. On top of the pass on a June day is it a cool 3^oC. (I hope you remembered you coat!)

            Considering both the pressure and temperature, what is he balloon’s volume?

Consider the FCC and HCP closed packed structures in units of ro, the radius of the close-packed atom. Explain why there are no common HCP based ionic structures with all of the octahedral sites filled or all the tetrahedral sites filled. Use Pauling’s rules and your knowledge of the ABAB and ABCABC stacking sequence to answer the question.

A physician orders mannitol (Osmitrol) for a client with a closed head injury. Which of the following should the nurse recognize as the desired response to this medication?

a). The blood pressure increases to 150/99 mmHg

b). Urinary output increases to 175 cc/hr

c). There is decrease in the level of activity

d). There is absense of fine tremors of the fingers

8. When an customer account is closed due to nonpayment, the account to be debited is:

a. Cash                                     c. Allowance for Uncollectible Accounts

b. Accounts Receivable              d. Uncollectible Accounts Expense

9. Johnson Co. uses the Aging Method to estimate uncollectible Accounts. An aging schedule shows that $60,000 in accounts are estimated to be uncollectible. The Allowance for Uncollectible Accounts already has a $5,000 credit balance. For what amount should the account be adjusted (credited)?

a. $65,000                    c. $60,000

b. $70,000                    d. $55,000

10. Jacobs Co. uses the Percentage of Credit Sales Method to estimate uncollectible accounts.  Past experience indicates that about 2% of credit sales will become uncollectible. Credit sales for the current month are $400,000.  The Allowance for Uncollectible Accounts already has a $3,000 credit balance.  For what amount should the account be adjusted (credited)?

a. $83,000                    c. $8,000

b. $5,000                      d. $11,000