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======= ####11. If the momentum of electron is changed by $P$ , then the de Broglie wavelength associated with it changes by $0.5$ . The initial momentum of electron will be :

c3eec34ec6b1fad69db54a20ad4b2dca40c2aa54 (a) $200 P$

(b) $400 P$

(d) $100 P$

[2012M]

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Answer:

Correct Answer: 11. (a)

Solution:

(a) The de-Broglie’s wavelength associated with the moving electron $λ = \frac{h}{P}$

Now, according to problem

$\frac{d λ}{λ} = - \frac{d p}{P}$

$\frac{0.5}{100} = \frac{P}{P^{'}}$

$P^{'} = 200 P$ 12

(b) $λ \propto \frac{1}{\sqrt{V}}$

$\Rightarrow \frac{λ_{1}}{λ_{2}} = \sqrt{\frac{V_{2}}{V_{1}}} = \sqrt{\frac{100 k e V}{25 k e V}} = 2$

$\Rightarrow λ_{2} = \frac{λ_{1}}{2}$

Dual Nature of Radiation and Matter - Result Question 11

11. If the momentum of electron is changed by $P$ , then the de Broglie wavelength associated with it changes by $0.5$ . The initial momentum of electron will be :

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Answer:

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Dual Nature of Radiation and Matter - Result Question 11

11. If the momentum of electron is changed by P, then the de Broglie wavelength associated with it changes by 0.5. The initial momentum of electron will be :

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Answer:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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11. If the momentum of electron is changed by $P$ , then the de Broglie wavelength associated with it changes by $0.5$ . The initial momentum of electron will be :