Q: Refer to the third image provided. Two long straight wires are separated by a distance $$d = 1.60 m. $$The currents are $$I_1 to $$the right in the upper wire and $$I_2 to $$the left in the lower wire. What are the magnitude and direction of the magnetic field at point $$P$$, which is a distance $$d/2$$ below the lower wire?

$$B = 1.6 \times 10$$^{-6}$$ T, directed out of the plane of the paper.

Question 1

A thick sheet of glass (index of refraction $$n = 1.50) is $$struck by light in air at an angle of incidence of $$50^	ext{o}. $$What is the angle of refraction in the glass?

Accepted Answer

20.5°

Question 2

According to the law of reflection, if a ray of light hits a flat mirror at an angle of $$30^	ext{o}$$ relative to the mirror surface, what will the angle of reflection be?

Accepted Answer

30°

Question 3

The critical angle in air for a particular type of glass is $$41.046^	ext{o}. $$What is the speed of light in this glass? (Assume $$c = 3.00 	imes 10^8$ m/s)

Accepted Answer

$$1.97 	imes 10^8$ m/s

Question 4

Which of the following statements about the atomic nucleus is correct?

Accepted Answer

All nuclei have nearly the same density.

Question 5

Lighter stable nuclei ($$Z \u003c 16) $$tend to have:

Accepted Answer

The same number of neutrons and protons.

Question 6

If a nucleus decays by alpha decay to a daughter nucleus, which of the following statements about this decay is correct?

Accepted Answer

The daughter nucleus has fewer protons than the original nucleus.

Question 7

A radioactive isotope decays by $$\beta^-$$ emission with a half-life of 1.0 min. During the first 1.0 min, a particular sample emits 1000 $$\beta^-$$ particles. During the next 1.0 min, the number of $$\beta^-$$ particles this sample will emit will be closest to:

Accepted Answer

500

Question 8

What is the binding energy per nucleon for $$^{27}	ext{Al}$$? The neutral $$^{27}	ext{Al}$$ atom has a mass of $$26.981539 u$$; a neutral hydrogen atom has a mass of $$1.007825 u$$; a neutron has a mass of $$1.008665 u$$; and a proton has a mass of $$1.007277 u$$. ($$1	ext{ u} = 931.494 	ext{ MeV}/c^2$)

Accepted Answer

8.3 MeV

Question 9

Light from a monochromatic source shines through a double slit onto a screen 5.00 m away. The slits are 0.180 mm apart. The dark bands on the screen are measured to be 1.70 cm apart. What is the wavelength of the incident light?

Accepted Answer

457 nm

Question 10

Light from a 600 nm source goes through two slits 0.080 mm apart. What is the angular separation of the two first order maxima occurring on a screen 2.0 m from the slits?

Accepted Answer

0.86°

Question 11

A slit of width 0.020 mm has light of frequency $$5.0 	imes 10$$^{14}$$ Hz passing through it onto a screen 60 cm away. How wide is the central maximum? (c = 3.00$$ 	imes $$10^8 m/s)$$

Accepted Answer

3.6 cm

Question 12

In a laboratory experiment, a diffraction grating produces an interference pattern on a screen. If the number of slits in the grating is decreased (but still larger than 2), with everything else (including the slit spacing) the same, then:

Accepted Answer

The fringes stay in the same positions but get dimmer and wider.

Question 13

Which of the following will cause the fringes in a two-slit interference pattern to get farther apart?

Accepted Answer

Decreasing the slit spacing $$d$$

Question 14

Refer to the first image provided. Four different sets of insulated wires cross each other at right angles without making electrical contact. The magnitude of the current is the same in all wires, and the directions of current flow are as indicated. For which configuration will the magnetic field at the center of the square formed by the wires be equal to zero?

Accepted Answer

D

Question 15

Refer to the second image provided. A long straight conductor has a constant current flowing to the left. A wire rectangle is situated above the wire, and also has a constant current flowing through it. Which of the following statements is true?

Accepted Answer

The net magnetic force on the wire rectangle is zero.

Question 16

Refer to the third image provided. Two long straight wires are separated by a distance $$d = 1.60 m. $$The currents are $$I_1 to $$the right in the upper wire and $$I_2 to $$the left in the lower wire. What are the magnitude and direction of the magnetic field at point $$P$$, which is a distance $$d/2$$ below the lower wire?

Accepted Answer

$$B = 1.6 	imes 10$$^{-6}$$ T, directed out of the plane of the paper.

Question 17

Refer to the fourth image provided. Ocean waves with a wavelength of 9.3 m and $$v = 1.20 m/s $$can be modeled using the equation $$y(x,t) = (0.67 	ext{ m}) \sin[0.676 	ext{ m}^{-1}(x-vt)]. $$Which graph represents $$y(x, t) at$$ $$t = 2.00 s$$?

Accepted Answer

Graph b

Magnetic Fields from Current-Carrying Wires: Configurations and Superposition

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