a beam of electron is used in an ydse experiment the slit

A beam of electron is used in an YDSE experiment. The slit width is $$d.$$ When the velocity of electron is increased, then

A. no interference is observed

B. fringe width increases

C. fringe width decreases

D. fringe width remains same

Answer : fringe width decreases

Solution :
Note : Since electron shows wave nature, it will show the phenomenon of interference.
For electron, $$\lambda = \frac{h}{{mv}}$$
When speed of electron increases, $$\lambda $$ will decrease. The distance between two consecutive fringes
$$\beta = \frac{{\lambda D}}{d}$$
As $$\lambda $$ decreases, $$\beta $$ also decrease.

Releted MCQ Question on
Modern Physics >> Dual Nature of Matter and Radiation

Releted Question 1

A particle of mass $$M$$ at rest decays into two particles of masses $${m_1}$$ and $${m_2},$$ having non-zero velocities. The ratio of the de Broglie wavelengths of the particles, $$\frac{{{\lambda _1}}}{{{\lambda _2}}},$$ is

A. $$\frac{{{m_1}}}{{{m_2}}}$$

B. $$\frac{{{m_2}}}{{{m_1}}}$$

C. 1.0

D. $$\frac{{\sqrt {{m_2}} }}{{\sqrt {{m_1}} }}$$

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Releted Question 2

A proton has kinetic energy $$E = 100\,keV$$ which is equal to that of a photon. The wavelength of photon is $${\lambda _2}$$ and that of proton is $${\lambda _1}.$$ The ration of $$\frac{{{\lambda _2}}}{{{\lambda _1}}}$$ is proportional to

A. $${E^2}$$

B. $${E^{\frac{1}{2}}}$$

C. $${E^{ - 1}}$$

D. $${E^{ - \frac{1}{2}}}$$

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Releted Question 3