Tag: wave nature of matter

Questions Related to wave nature of matter

If the stationary proton and $\alpha -$particle are accelerated through same potential difference the ratio of their wavelength will be

physics dual nature of matter and radiation davisson and germer experiment and its conclusion matter waves wave nature of matter

  1. $2$

  2. $1$

  3. $2\sqrt {2}$

  4. $None\ of\ these$

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Correct Option: A

In davisson-Germer experiment an electron beam accelerated with $54$ volt is diffracted at an angle of $$ by a nickel crystal and produced first diffraction maxima. The interatomic distance in Nickel crystal is  

physics dual nature of matter and radiation davisson and germer experiment and its conclusion matter waves wave nature of matter

  1. $1\mathop A\limits^0 $

  2. $2\mathop A\limits^0 $

  3. $2.15\mathop A\limits^0 $

  4. $3.12\mathop A\limits^0 $

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Correct Option: C

In Davisson-Germer experiment an electron bear of energy 75 eV falls normally on the surface via crystal If the maxima of order I. _obtained at an angIe $45^o$ to the direction incidentr then the interatomic distance in the lattice palne of the cystal will be-

physics dual nature of matter and radiation davisson and germer experiment and its conclusion matter waves wave nature of matter

  1. $1.0 \ AA$

  2. $1.56 \ AA$

  3. $1.20 \ AA$

  4. $0.83 \ AA$

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Correct Option: A
Explanation:

$\begin{array}{l} nb=2d\sin  \theta  \ \frac { { 12.27 } }{ { \sqrt { 75 }  } } =2d\sin  45 \ 1.41=2d\times \frac { 1 }{ { \sqrt { 2 }  } }  \ \therefore d=\frac { { 1.41 } }{ { 1.41 } } =1A^{ ^{ \circ  } } \end{array}$

Hence, the option $A$ is the correct answer.

The wavelength of $L _\alpha$ line in $X-ray$ spectrum of $Pt^{78}$ is $1.32\mathring { A } $ then wavelength of $L _\alpha $ line $X-ray$ spectrum of another unknown element is $4.17\mathring { A } .$ If screening constant for $L _\alpha $ line is $7.4,$ then atomic number of the unknown element is -

physics dual nature of matter and radiation davisson and germer experiment and its conclusion matter waves wave nature of matter

  1. $78$

  2. $47$

  3. $40$

  4. $35$

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Correct Option: A

Davisson and Germer studied the diffraction from crystal of beams of

physics dual nature of matter and radiation davisson and germer experiment and its conclusion matter waves wave nature of matter

  1. Alpha particles

  2. Protons

  3. Electrons

  4. Photons

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Correct Option: C
Explanation:

Davisson and Germer's actual objective was to study the surface of a piece of nickel by directing a beam of electrons at the surface and observing how many electrons bounced off at various angles. They expected that because of the small size of electrons, even the smoothest crystal surface would be too rough and thus the electron beam would experience diffuse reflection.

During the experiment an accident occurred and air entered the chamber, producing an oxide film on the nickel surface. To remove the oxide, Davisson and Germer heated the specimen in a high temperature oven, not knowing that this affected the formerly polycrystalline structure of the nickel to form large single crystal areas with crystal planes continuous over the width of the electron beam. 

When they started the experiment again and the electrons hit the surface, they were scattered by atoms which originated from crystal planes inside the nickel crystal.In 1925, they generated a diffraction pattern with unexpected peaks.

So, the answer is option (C).

Electrons can be diffracted (Davis-son and German's expt.).

physics dual nature of matter and radiation davisson and germer experiment and its conclusion matter waves wave nature of matter

  1. Yes, as their wave is transverse.

  2. Yes, as their wave is longitudinal

  3. No, as their wave is longitudinal

  4. No, as they travel in a straight line.

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Correct Option: D
Explanation:

As electron waves oscillation is confined in one orientation only, therefore  it cannot be polarized.

In Davisson-Germer experiment, intensity was maximum for accelerating voltage equal to

physics dual nature of matter and radiation davisson and germer experiment and its conclusion matter waves wave nature of matter

  1. $44$

  2. $54$

  3. $64$

  4. $74$

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Correct Option: B
Explanation:

In Davisson-Germer experiment, maximum intensity of diffracted electron beam was found at different angles by varying the applied voltage to the electron gun. The highest intensity was observed at an angle $\phi =50^o$ with a voltage of $54 V$, giving the electron a kinetic energy of $54eV$.

In Davisson-Germer experiment, intensity was maximum for scattering angle equal to

physics dual nature of matter and radiation davisson and germer experiment and its conclusion matter waves wave nature of matter

  1. $40$

  2. $50$

  3. $60$

  4. $70$

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Correct Option: B
Explanation:

In Davisson -Germer experiment, it was observed that the intensity of the scattered electron beam depends on the scattering angle $\phi$. Also, it Davisson and Germer observed that the maximum intensity was detected when the scattering angle was  $50^o$.

The Davisson-Germer experiment was performed by varying the accelarating voltage from __ V to __ V.

physics dual nature of matter and radiation davisson and germer experiment and its conclusion matter waves wave nature of matter

  1. $44, 68$

  2. $54, 78$

  3. $44, 58$

  4. $85, 100$

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Correct Option: A
Explanation:

In Davisson-Germer experiment, maximum intensity of diffracted electron beam was found at different angles by varying the applied voltage to the electron gun from $44V$ to $68V$. The highest intensity was observed at an angle $\phi =50^o$ with a voltage of $54 V$, giving the electron a kinetic energy of $54eV$.