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

In an X-ray tube, the distance separating the cathode (filament)...

In an X-ray tube, the distance separating the cathode (filament) and the target is 1.5 m1.5 \text{ m}. Determine the electric field between the cathode and the target if the cutoff wavelength is given as 30 pm30 \text{ pm}.

Options

  1. A41.4 kV/m41.4 \text{ kV/m}
  2. B62.1 kV/m62.1 \text{ kV/m}
  3. C13.8 kV/m13.8 \text{ kV/m}
  4. D27.6 kV/m27.6 \text{ kV/m}

Correct answer

D. 27.6 kV/m27.6 \text{ kV/m}

Step-by-step solution

The cutoff wavelength \lambda_{\text\min} is related to the accelerating voltage VV by the equation:

\lambda_{\text\min} = \dfrac{hc}{eV}

Substituting the values h=6.63×10−34 J sh = 6.63 \times 10^{-34} \text{ J s}, c=3×108 m/sc = 3 \times 10^8 \text{ m/s}, e=1.6×10−19 Ce = 1.6 \times 10^{-19} \text{ C}, and \lambda_{\text\min} = 30 \times 10^{-12} \text{ m}:

V=6.63×10−34×3×1081.6×10−19×30×10−12V = \dfrac{6.63 \times 10^{-34} \times 3 \times 10^8}{1.6 \times 10^{-19} \times 30 \times 10^{-12}}

V=41.4×103 V=41.4 kVV = 41.4 \times 10^3 \text{ V} = 41.4 \text{ kV}

The electric field EE between the cathode and the target is given by:

E=VdE = \dfrac{V}{d}

Substituting V=41.4 kVV = 41.4 \text{ kV} and d=1.5 md = 1.5 \text{ m}:

E=41.41.5=27.6 kV/mE = \dfrac{41.4}{1.5} = 27.6 \text{ kV/m}
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 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]When 40 kV is applied across an X-ray tube, X-rays are obtained with a maximum frequency… Concepts Of Physics MCQ Edition [Volume 2] Full X-rays list All Concepts Of Physics MCQ Edition [Volume 2] PYQs