An electron, an α- particle and a proton have the same K.E. Which of these

Question

An electron, an

α

- particle and a proton have the same K.E. Which of these particles has the shortest de Broglie wavelength?

Options:

A . electron

B . proton

C . α- particle

D . electron, proton

Answer: Option C
:
C

K_{E} = \frac{1}{2} m v^{2} = \frac{p^{2}}{2 m} p = \sqrt{2 m E} ∴ λ = \frac{h}{\sqrt{2 m E}} \Rightarrow λ α \frac{1}{\sqrt{m}} m_{p} = 1836 m_{e} m_{α} = 4 \times 1836 m_{e} t h e r e f o r e m_{α} > m_{p} > m_{e}

\Rightarrow λ_{α}

is the shortest

Was this answer helpful ?

Next Question

More Questions on This Topic :

Question 1. The de-Broglie wavelength of a vehicle is λ. Its load is changed such that its velocity and energy both are double....and energy both are doubled. Its new wavelength will be

Question 2. What is the ratio of de Brogile wavelength of deuteron moving with a velocity 2 v and α -particle moving with vel....v and α -particle moving with velocity v ?

Question 3. What is the momentum of photon of energy 3 MeV in kgms−1?....

Question 4. If the electron has same momentum as that of a photon of wavelength 5200∘A, then the velocity of electron in m /s....the velocity of electron in m /sec is given by

Question 5. When the momentum of a proton is changed by an amount P0, the corresponding change in the de-Broglie wavelength is found....be 0.25%. Then, the original momentum of the proton was

Question 6. An external electric field is applied on a metal plate, high enough to force the electrons to eject out of the surface. ....the surface. Is this an example of Photo electric effect?

Question 7. In the Photoelectric setup, I would like to achieve stopping potential by making one of the plates in the setup, posit....in the setup, positively charged. Which one should I charge positively?

Question 8. The intensity of light I1 received by the emitter plate in Lenard's photoelectric set-up is changed by moving the s....is the new intensity I2 received by the emitter plate?

Question 9. 50 g of copper is heated to increase its temperature by 10∘C. If the same quantity of heat is given to 10 g of&#x....rise in its temperature is: Specific heat of copper is 420 J kg−1 ∘C.

Question 10. We understand 'temperature' as a measure of the 'hotness' or 'coldness' of a body. Which o....these properties do you think explicitly depend on the temperature?

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

Pie Chart - Test Paper 1 Data Interpretation Reasoning & DI

Tabulation - Test Paper 2 Data Interpretation Reasoning & DI

Test Paper 1 Direction Sense Test Reasoning & DI

ICA , RDIC,GFM Free Modal Test Paper - Non - Technical Branch Old Syllabus 2022 - SAIL Junior Officer E0

GFM Combined 1 Free Revision Test SAIL JO E-0