Download App

Dual Nature of Radiation and Matter — Physics STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 SciencePhysicsDual Nature of Radiation and Matter2 Marks
Question
An $\alpha$-particle and a proton are accelerated through the same potential difference. Find the ratio of their de Broglie wavelength.
✓

Answer

Finding the ratio of de Broglie wavelength $\bigg(\frac{\lambda{\alpha}}{\lambda{p}}\bigg)$ $\lambda=\frac{h}{p}=\frac{h}{\sqrt{2mK}}=\frac{h}{\sqrt{2mqV}}$ $\therefore\frac{{\lambda}\alpha}{{\lambda}p}=\frac{h}{\sqrt{2m_{\alpha}q_{\alpha}V}}\times\frac{\sqrt{2m_{p}q_p{V}}}{h}$ $\frac{{\lambda}_{\alpha}}{{\lambda}_p}=\frac{\sqrt{m_p{q_p}}}{\sqrt{m_{\alpha}{q_{\alpha}}}}$$=\frac{\sqrt{m_p{q_p}}}{{\sqrt{4m_p^{\text{ }\text{ }2}{q_p}}}}$
$=\frac{1}{{2}\sqrt{2}}$
$\lambda_{\alpha}:\lambda_p=1:2\sqrt{2}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Marks Questions" from Dual Nature of Radiation and Matter→Dual Nature of Radiation and Matter — all question types→Physics STD 12 Science question papers→Rajasthan Board STD 12 Science question papers→Rajasthan Board question paper generator→

Similar questions

Radioactive $^{131}$I has a half$-$life of $8.0$ days. A sample containing $^{131}$I has activity $20\mu\text{Ci}$ at $t = 0.$
  1. What is its activity at $t = 4$ days?
  2. What is its decay constant at $t = 4.0$ days?
→
  1. Monochromatic light of frequency $6.0 \times 10^{14 }Hz$ is produced by a laser. The power emitted is $2.0 \times 10^{-3} W.$ Estimate the number of photons emitted per second on an average by the source.
  1. Draw a plot showing the variation of photoelectric current versus the intensity of incident radiation on a given photosensitive surface.
→
A circular coil of N turns and radius R carries a current I. It is unwound and rewound to make another coil of radius R/2, current I remaining the same. Calculate the ratio of the magnetic moments of the new coil and the original coil.
→
Explain the close relationship between the internal structure of an atom and the emission spectrum.
→
Explain the structure of Polaroid.
→
The selling rate of a radioactive isotope is decided by its activity. What will be the second $-$ hand rate of a one month old $\text{ }^{32}\text{P}\big(\text{t}_{\frac{1}{2}}=14.3\text{days}\big)$ source if it was originally purchased for $800$ rupees?
→
For a photosensitive surface, threshold wavelength is $\lambda_0.$ Does photoemission occur if the wavelength of radiation is (i) more than $\lambda_0$ and (ii) less than $\lambda_0?$ Justify your answer.
→
Derive an expression for the electric potential at any point along the axial line of an electric dipole?
→
The distance of the field point on the axis of a small dipole is doubled. By what factor will the electric field, due to the dipole change?
→
A metre scale is graduated at every millimetre. How many significant digits will be there in a length measurement with this scale?
→