When one note is above another note by an octave, the frequency of the higher pitch note is double that of the lower pitch note. The word octave may make you think that there are 8 steps from the lower note to the one an octave above. But wait! How many steps are there on a piano from middle C to the next C above? Each key is a step. If each next key is a step, how many are there? Middle C is a
white (W) key and the next note above is a black (B) key. Starting at middle C on the piano the sequence of key we go through to get to high C, is BWBWWBWBWBWW, the last key being high C. Count ‘em. That's 12 steps. If the multiplying factor of the frequency for the next step is the same for each step, what is that multiplying frequency? All you need is given in this problem statement.
a. 101/12 b. 121/8
c. 21/8 d. 21/12
d
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Consider the situation shown below. Object A is a metal sphere with zero net charge, and objects B and C are particles with charges q and -q, respectively. Point P is at the sphere’s center. Answer each question below by choosing one of the arrows to the right of the picture or by choosing answer E. (If you are using the letters on the back cover to display your answer, you can indicate the double-letter choices by pointing to a letter with two fingers.) Which arrow best indicates the direction of the electric field at point P created by particle B?
A. A
B. B
C. C
D. D
E. Zero
F. AA
G. BB
H. CC
I. DD
How do scientists estimate the age of the universe?
A) They look up the answer in a book or they Google it. B) They measure the abundances of radioactive elements in meteorites, and use their half-lives to calculate the age of the meteorites, which are the oldest solids in the solar system. C) They measure the speeds and distances of galaxies, and calculate the time it took for them to travel that distance (away from us). D) They make a guess: no one really knows how old the universe is. E) They measure how fast the Sun is losing energy, and how much energy it has left to lose.
A glass tea kettle containing 500 g of water is on top of the stove. The portion of the tea kettle that is in contact with the heating element has an area of 0.090 m2 and is 1.5 mm thick
At a certain moment, the temperature of the water is 75°C, and it is rising at the rate of 3 C° per minute. What is the temperature of the outside surface of the bottom of the tea kettle? The thermal conductivity of glass is 0.840 W/(m•K). Neglect the heat capacity of the kettle. A) 39°C B) 92°C C) 120°C D) 86°C E) 77°C
Two charged bodies separated by a distance d exert an electrical force on each other. The distance d is doubled. The electrical force on each body is now __________ times the original force
Fill in the blank(s) with correct word