The velocity of longitudinal sound waves in liquid helium 4he, at temperatures below 0.6 k, is v = 238.3 m/s. within the liquid there are no transverse displacement waves. the density is rho = 145 kg/m^3. using the data above, determine the debye temperature in liquid helium in k. note that the number of modes describing displacements in one direction should be equal to n, rather than 3n. calculate the low-temperature heat capacity for helium, per mass, within the debye theory, and compare to the experimental result of cv/m = 20.4 t^3, where t is in k and c v/m is in j/(kg. k).

1. the materials manager for a billiard ball maker must periodically place orders for resin, one of the raw materials used in producing billiard balls. she knows that manufacturing uses resin at a rate of 50 kilograms each day, and that it costs $.04 per day to carry a kilogram of resin in inventory. she also knows that the order costs for resin are $100 per order, and that the lead time for delivery is four (4) days.2. at what point should resin be reordered? a. 0 kilograms remainingb. 50 kilograms remainingc. 200 kilograms remainingd. 400 kilograms remaininge. 500 kilograms remaining3. if order size was 1,000 kilograms of resin, what would be the length of an order cycle? a. 0.05 daysb. 4 daysc. 16 daysd. 20 dayse. 50 days4. if the order size was 1,000 kilograms of resin, what would be the average inventory level? a. 50 kilogramsb. 200 kilogramsc. 500 kilogramsd. 800 kilogramse. 1,000 kilograms5. if the order size was 1,000 kilograms of resin, what would be the daily total inventory costs, excluding the cost of the resin? a. $5b. $10c. $20d. $25e. $40

Wavelength of 125 meters is moving at a speed of 10 m/s. what is it's frequency?

The junction rule describes the conservation of which quantity? note that this rule applies only to circuits that are in a steady state.