Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Concepts Of Physics MCQ Edition [Volume 2]
Exam
Concepts Of Physics MCQ Edition [Volume 2]
Subject
Physics
Chapter
X-rays

Concepts Of Physics MCQ Edition [Volume 2] · Physics · X-rays

The provided figure illustrates the intensity–wavelength relations...

The provided figure illustrates the intensity–wavelength relations of X-rays emitted from two different Coolidge tubes. The solid curve corresponds to tube AA, where the potential difference between the target and the filament is VAV_A and the atomic number of the target material is ZAZ_A. For the other tube, the respective quantities are VBV_B and ZBZ_B. Consequently,
The provided figure illustrates the intensity–wavelength relations of X-rays emitted from two different Coolidge tubes.

Options

  1. AVA>VBV_A > V_B, ZA<ZBZ_A < Z_B
  2. BVA>VBV_A > V_B, ZA>ZBZ_A > Z_B
  3. CVA<VBV_A < V_B, ZA>ZBZ_A > Z_B
  4. DVA<VBV_A < V_B, ZA<ZBZ_A < Z_B

Correct answer

A. VA>VBV_A > V_B, ZA<ZBZ_A < Z_B

Step-by-step solution

From the given graph, the cut-off wavelength (minimum wavelength) for tube A (solid curve) is smaller than that for tube B (dashed curve):

λmin,A<λmin,B\lambda_{min, A} < \lambda_{min, B}

The cut-off wavelength is given by \lambda_\min = \dfrac{hc}{eV}. Since \lambda_\min is inversely proportional to the accelerating voltage VV, we get:

VA>VBV_A > V_B

Also, from the graph, the wavelength of the KαK_\alpha peak for tube A is greater than that for tube B:

λKα,A>λKα,B\lambda_{K_\alpha, A} > \lambda_{K_\alpha, B}

According to Moseley's law, the wavelength of characteristic X-rays is related to the atomic number ZZ by 1λ∝(Z−b)2\dfrac{1}{\lambda} \propto (Z - b)^2. A larger wavelength corresponds to a smaller atomic number. Thus:

ZA<ZBZ_A < Z_B

Therefore, VA>VBV_A > V_B and ZA<ZBZ_A < Z_B.
Practice X-rays on Quantrex Academy →

More from X-rays

Calculate the cutoff wavelength of the continuous X-rays produced by an X-ray tube… Concepts Of Physics MCQ Edition [Volume 2]Determine the energy, the frequency, and the momentum of an X-ray photon having a… Concepts Of Physics MCQ Edition [Volume 2]Iron emits a K_α X-ray with an energy of 6.4 keV , while calcium emits a K_α X-ray with… Concepts Of Physics MCQ Edition [Volume 2]X-rays originating from a Coolidge tube have a cutoff wavelength of 80 pm . Determine the… Concepts Of Physics MCQ Edition [Volume 2]What potential difference must be applied across an X-ray tube to generate X-rays with a… Concepts Of Physics MCQ Edition [Volume 2]In an X-ray tube, the distance separating the cathode (filament) and the target is 1.5 m… Concepts Of Physics MCQ Edition [Volume 2]In a colour TV, the electron beam is accelerated through 32 kV before striking the… Concepts Of Physics MCQ Edition [Volume 2]When the operating potential in an X-ray tube is raised by 1\% , by what percentage will… Concepts Of Physics MCQ Edition [Volume 2] Full X-rays list All Concepts Of Physics MCQ Edition [Volume 2] PYQs