Q: Refer to the fifth and sixth images showing x-ray diffraction in a crystal. According to Bragg's law, constructive interference occurs when the path difference $$\Delta r$$ satisfies which condition?

$$\Delta r = 2d \cos \theta = m \lambda$$

Question 1

Which of the following best describes how a traditional x-ray image of a hand is formed, as shown in the third image?

Accepted Answer

Dense tissues block more x-rays, resulting in lighter regions on the film where fewer x-rays reach.

Question 2

In a CAT (CT) scan, as illustrated in the first and second images, what is the primary advantage of rotating the x-ray tube and detectors around the patient?

Accepted Answer

It produces cross-sectional and 3D images by collecting data from multiple angles.

Question 3

Refer to the fifth and sixth images showing x-ray diffraction in a crystal. According to Bragg's law, constructive interference occurs when the path difference $$\Delta r$$ satisfies which condition?

Accepted Answer

$$\Delta r = 2d \cos 	heta = m \lambda$$

Question 4

A crystal produces a first-order x-ray diffraction maximum at $$\$$theta_1$$ = 65^\circ. $$For the same x-ray wavelength, which higher order maxima are possible?

Accepted Answer

Only the second order ($$m=2)$$

Question 5

In the photoelectric effect apparatus shown in the tenth image, what is the role of the stopping potential $$V_{stop}$$?

Accepted Answer

It is the minimum voltage needed to stop the most energetic photoelectrons from reaching the anode.

Question 6

Which of the following changes will increase the maximum kinetic energy of electrons emitted in a photoelectric effect experiment?

Accepted Answer

Increasing the frequency of the light

Question 7

A green laser pointer emits light with a frequency $$f = 5.6 	imes 10$$^{14}$$ Hz and a power of 5.0$$ 	imes $$10^{-3} W. $$How many photons are emitted per second? (Planck's constant $$h = 6.626 	imes 10$$^{-34}$$ J·s)

Accepted Answer

$$1.3 	imes 10$$^{16}$$

Question 8

In the context of the photoelectric effect, what does Einstein's equation $$K_{max} = hf - E_0$ represent?

Accepted Answer

The maximum kinetic energy of emitted electrons, where $$E_0 is $$the work function

Question 9

Which statement best explains why increasing the intensity of light (at a fixed frequency above threshold) increases the current in a photoelectric effect experiment?

Accepted Answer

More photons strike the metal, causing more electrons to be emitted per second.

Question 10

In a double-slit experiment with very low intensity light (one photon per second), what pattern is observed after many photons have passed through?

Accepted Answer

An interference pattern formed by the accumulation of many individual photon impacts

Question 11

If the frequency of incident light is below the threshold frequency $$f_0$$ for a given metal, what will be observed in a photoelectric effect experiment?

Accepted Answer

No electrons are emitted, regardless of light intensity.

Question 12

A photoelectric effect experiment uses a metal with work function $$E_0. If $$the frequency of the incident light is doubled, what happens to the maximum kinetic energy of the emitted electrons?

Accepted Answer

It increases by $$h f ($$where $$f is $$the original frequency).

Question 13

Which of the following best describes the phenomenon of wave-particle duality as observed in the double-slit experiment with photons?

Accepted Answer

Photons behave as waves, creating an interference pattern, even when sent one at a time.

Question 14

In x-ray diffraction, what information can be obtained by analyzing the angles at which constructive interference maxima occur?

Accepted Answer

The spacing $$d$$ between atomic planes in the crystal

Question 15

If the work function $$E_0 of a $$metal is increased while keeping the frequency of incident light constant (and above threshold), what happens to the stopping potential $$V_{stop}$$?

Accepted Answer

It decreases.

Question 16

Which of the following is a correct statement about the use of x-rays in medical imaging, as shown in the images?

Accepted Answer

X-rays can be used to create both 2D and 3D images of internal body structures.

X-Rays, X-Ray Diffraction, and the Photoelectric Effect

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