Deck 3: Oscillations, Fluids, Waves, Temperature, Heat, and the First Law of Thermodynamics

Question 1

When the temperature of a copper penny is increased by 100 C $\degree$ its diameter increases by 0.17%. The area of one of its faces increases by:

A) 0.17%
B) 0.34%
C) 0.51%
D) 0.13%
E) 0.27%

Answer 1

0.34%

Question 2

Object A, with heat capacity C_A and initially at temperature T_A, is placed in thermal contact with object B, with heat capacity C_B and initially at temperature T_B. The combination is thermally isolated. If the heat capacities are independent of the temperature and no phase changes occur, the final temperature of both objects is:

A) (C_AT_A - C_BT_B)/(C_A + C_B)
B) (C_AT_A + C_BT_B)/(C_A + C_B)
C) (C_AT_A - C_BT_B)/(C_A - C_B)
D) (C_A - C_B)
E) (C_A + C_B)11ef181b_aacf_e68f_b5ce_19b6b0f164d3_TB10137_11

Answer 2

(C_AT_A + C_BT_B)/(C_A + C_B)

Question 3

Two notes are an "octave" apart.The ratio of their frequencies is:

A) 8
B) 10
C)
D) 2
E)

Answer 3

2

Question 4

The Doppler shift formula for the frequency detected is

Where ƒ ' is the frequency emitted, v is the speed of sound, v_D is the speed of the detector, and v_s is the speed of the source. Suppose the source is traveling at 5 m/s away from the detector, the detector is traveling at 7 m/s toward the source, and there is a 3 m/s wind blowing from the source toward the detector. The values that should be substituted into the Doppler shift equation are:

A) v_D = 7 m/s and v_s = 5 m/s
B) v_D = 10 m/s and v_s = 8 m/s
C) v_D = 4 m/s and v_s = 2 m/s
D) v_D = 10 m/s and v_s = 2 m/s
E) v_D = 4 m/s and v_s = 8 m/s

Question 5

Here are the equations for the three waves traveling on separate strings. Rank them according to the maxium transverse speed, least to greatest.
Wave 1: y(x,t) = (2.0 mm) sin [(4.0 m^-1)x - (3.0 s^-1)t]
Wave 2: y(x,t) = (1.0 mm) sin [(8.0 m^-1)x - (4.0 s^-1)t]
Wave 3: y(x,t) = (1.0 mm) sin [(4.0 m^-1)x - (8.0 s^-1)t]

A) 1, 2, 3
B) 1, 3, 2
C) 2, 1, 3
D) 2, 3, 1
E) 3, 1, 2

Question 6

The mathematical forms for the three sinusoidal traveling waves are gives by
Wave 1: y(x,t) = (2 cm) sin (3x - 6t)
Wave 2: y(x,t) = (3 cm) sin (4x - 12t)
Wave 3: y(x,t) = (4 cm) sin (5x - 11t)
Where x is in meters and t is in seconds. Of these waves:

A) wave 1 has the greatest wave speed and the greatest maximum transverse string speed
B) wave 2 has the greatest wave speed and wave 1 has the greatest maxmium transverse string speed
C) wave 3 has the greatest wave speed and the greatest maximum transverse string speed
D) wave 2 has the greatest wave speed and wave 3 has the greatest maximum transverse string speed
E) wave 3 has the greatest wave speed and wave 2 has the greatest maximum transverse string speed

Question 7

Two traveling sinusoidal waves interfere to produce a wave with the mathematical form
Y(x,t) = y_m sin(kx + t + $\alpha$ ).
If the value of is appropriately chosen, the two waves might be:

A)
B)
C)
D)
E)

Question 8

Which of the following represents a standing wave?

A) y = (6.0 mm)sin[(3.0 m^-1)x + (2.0 s^-1)t] - (6.0 mm)cos[(3.0 m^-1)x + 2.0]
B) y = (6.0 mm)cos[(3.0 m^-1)x - (2.0 s^-1)t] + (6.0 mm)cos[(2.0 s^-1)t + 3.0 m^-1)x]
C) y = (6.0 mm)cos[(3.0 m^-1)x - (2.0 s^-1)t] - (6.0 mm)sin[(2.0 s^-1)t - 3.0]
D) y = (6.0 mm)sin[(3.0 m^-1)x - (2.0 s^-1)t] - (6.0 mm)cos[(2.0 s^-1)t + 3.0 m^-1)x]
E) y = (6.0 mm)sin[(3.0 m^-1)x] + (6.0 mm)cos[(2.0 s^-1)t]

Question 9

If the length of a simple pendulum is doubled, its period will:

A) halve
B)
C)
D) double
E) remain the same

Question 10

Five hoops are each pivoted at a point on the rim and allowed to swing as physical pendulums. The masses and radii are
Hoop 1: M = 150g and R = 50 cm
Hoop 2: M = 200g and R = 40 cm
Hoop 3: M = 250g and R = 30 cm
Hoop 4: M = 300g and R = 20 cm
Hoop 5: M = 350g and R = 10 cm
Order the hoops according to the periods of their motions, smallest to largest.

A) 1, 2, 3, 4, 5
B) 5, 4, 3, 2, 1
C) 1, 2, 3, 5, 4
D) 1, 2, 5, 4, 3
E) 5, 4, 1, 2, 3

Question 11

The density of water is 1.0 g/cm³. The density of the oil in the left column of the U-tube shown below is:

A) 0.20 g/cm³
B) 0.80 g/cm³
C) 1.0 g/cm³
D) 1.3 g/cm³
E) 5.0 g/cm³

Question 12

An incompressible liquid flows along the pipe as shown. The ratio of the speeds v₂/v₁ is:

A) A₁/A₂
B) A₂/A₁
C)
D)
E) v₁/v₂

Question 13

A water line enters a house 2.0 m below ground. A smaller diameter pipe carries water to a faucet 5.0 m above ground, on the second floor. Water flows at 2.0 m/s in the main line and at 7.0 m/s on the second floor. Take the density of water to be 1.0 x10³ kg/m³. The diffenernce in pressure in the main line is 2.0 x 10⁵ Pa, then the pressure on the second floor is:

A) 7.5 x 10⁴ Pa with the main line at the higher pressure
B) 2.65 x10⁴ Pa with the main line at the higher pressure
C) 7.5 x 10⁴ Pa with the main line at the lower pressure
D) 2.65 x 10⁴ Pa with the main line at the lower pressure
E) 9.4 x 10⁴ Pa with the main line at the higher pressure