A parallel beam of fast-moving electrons is i | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The angular width of the central maximum in a single-slit diffraction pattern is given by $	heta = \frac{2\lambda}{b}$, where $\lambda$ is the de

Vedclass · Accepted Answer

The angular width of the central maximum of the diffraction pattern will decrease.

Vedclass · Answer

(C) The angular width of the central maximum in a single-slit diffraction pattern is given by $	heta = \frac{2\lambda}{b}$, where $\lambda$ is the de Broglie wavelength of the electrons and $b$ is the width of the slit.According to the de Broglie hypothesis, the wavelength is $\lambda = \frac{h}{mv}$, where $h$ is Planck's constant, $m$ is the mass of the electron, and $v$ is its speed.Substituting $\lambda$ into the angular width formula, we get $	heta = \frac{2h}{mbv}$.Since the angular width $	heta$ is inversely proportional to the speed $v$ $(	heta \propto \frac{1}{v})$, increasing the speed $v$ of the electrons will cause the angular width $	heta$ to decrease.Therefore, the correct statement is that the angular width of the central maximum will decrease.

$A$ parallel beam of fast-moving electrons is incident normally on a narrow slit. $A$ screen is placed at a large distance from the slit. If the speed of the electrons is increased, which of the following statements is $\text{CORRECT}$?

Similar Questions

If $200 \text{ MeV}$ of energy is released in the fission of one nucleus of ${ }_{92}^{235} \text{U}$,then the number of nuclei that must undergo fission to release an energy of $1000 \text{ J}$ is

Ex situ conservation is carried out through:

The density of gas $A$ is twice that of gas $B$. At the same temperature,the molecular weight of gas $B$ is twice that of gas $A$. The ratio of the pressure of gas $A$ to gas $B$ is:

What is $Z$ in the following reaction sequence?
$C_6H_5NH_2$ $\xrightarrow[(i) NaNO_2 + HCl / 273 \ K]{(ii) H_3PO_2 + H_2O}$ $\xrightarrow[(iii) CO, HCl, \text{anhydrous } AlCl_3/CuCl]{} Z$

The cubic equation whose roots are thrice to each of the roots of $x^3+2 x^2-4 x+1=0$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module