Answer
77.7k+ views
Hint: Hard X-rays have higher energy than soft X-rays, which have lower energies. The energy has an inverse relationship with wavelength and is directly proportional to frequency. Therefore, the wavelength is shorter and the frequency is higher when the energy is larger.
Formula used:
The relationship between the matching photon's energy and X-ray wavelength is,
$E = \dfrac{{hc}}{\lambda }$
Here, $c$ is the speed of light, $\lambda$ is the wavelength of X-ray and $h$ is Planck's constant.
Complete step by step solution:
The high energy electromagnetic spectrum includes X-rays. X-rays have a shorter wavelength than visible rays because they are more energetic (since energy is inversely proportional to wavelength). Many objects, including the body, are transparent to them. As a result, they are employed to produce images of bones and tissues. The relationship between the matching photon's energy and X-ray wavelength is:
$E = \dfrac{{hc}}{\lambda }$
Larger wavelength X-rays are referred to as soft X-rays, while those with lower wavelengths are known as hard X-rays. Comparatively speaking, soft X-rays are generated at a lower potential difference than hard X-rays. They have a wavelength of $4\mathop A\limits^ \circ $ or above. Additionally, they have lower frequencies, which means less energy. Low penetrating power is another classification for soft X-rays.
On the other hand, hard X-rays have wavelengths in the order of $1\mathop A\limits^ \circ $ are additionally linked to higher frequency, and hence, higher energy. Because of all these qualities, they have a great penetrating power. The only difference between soft and hard X-rays is frequency. However, both kinds of X move at the speed of light.
Hence option E is correct.
Note: Making the word "hard" synonymous with the word "more" will help students remember the distinction between hard and soft X-rays. Therefore, hard X-rays have higher energy. And once it is shown that they have greater energy, it will be obvious that the relationship between these two variables—wavelength and energy—is inverse. Thus, the wavelength will be shorter the higher the energy.
Formula used:
The relationship between the matching photon's energy and X-ray wavelength is,
$E = \dfrac{{hc}}{\lambda }$
Here, $c$ is the speed of light, $\lambda$ is the wavelength of X-ray and $h$ is Planck's constant.
Complete step by step solution:
The high energy electromagnetic spectrum includes X-rays. X-rays have a shorter wavelength than visible rays because they are more energetic (since energy is inversely proportional to wavelength). Many objects, including the body, are transparent to them. As a result, they are employed to produce images of bones and tissues. The relationship between the matching photon's energy and X-ray wavelength is:
$E = \dfrac{{hc}}{\lambda }$
Larger wavelength X-rays are referred to as soft X-rays, while those with lower wavelengths are known as hard X-rays. Comparatively speaking, soft X-rays are generated at a lower potential difference than hard X-rays. They have a wavelength of $4\mathop A\limits^ \circ $ or above. Additionally, they have lower frequencies, which means less energy. Low penetrating power is another classification for soft X-rays.
On the other hand, hard X-rays have wavelengths in the order of $1\mathop A\limits^ \circ $ are additionally linked to higher frequency, and hence, higher energy. Because of all these qualities, they have a great penetrating power. The only difference between soft and hard X-rays is frequency. However, both kinds of X move at the speed of light.
Hence option E is correct.
Note: Making the word "hard" synonymous with the word "more" will help students remember the distinction between hard and soft X-rays. Therefore, hard X-rays have higher energy. And once it is shown that they have greater energy, it will be obvious that the relationship between these two variables—wavelength and energy—is inverse. Thus, the wavelength will be shorter the higher the energy.
Recently Updated Pages
Name the scale on which the destructive energy of an class 11 physics JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write an article on the need and importance of sports class 10 english JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Choose the exact meaning of the given idiomphrase The class 9 english JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Choose the one which best expresses the meaning of class 9 english JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
What does a hydrometer consist of A A cylindrical stem class 9 physics JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
A motorcyclist of mass m is to negotiate a curve of class 9 physics JEE_Main
![arrow-right](/cdn/images/seo-templates/arrow-right.png)