Download App

STD 12 - 11. Dual nature of radiation and matter — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 12 - 11. Dual nature of radiation and matter4 Marks
MCQ
An electron is accelerated from rest through a potential difference such that its kinetic energy is $1.5\,eV$, then de-Broglie wavelength associated with this electron is
  • A
    $\lambda  = {10^{ - 10}}\,m$
  • B
    $\lambda  = {10^{ - 8}}\,m$
  • ✓
    $\lambda  = {10^{ - 9}}\,m$
  • D
    $\lambda  = {10^{ - 7}}\,m$
✓

Answer

Correct option: C.
$\lambda  = {10^{ - 9}}\,m$
c
$\lambda (\mathop {\rm{A}}\limits^o ) = \sqrt {\frac{{150}}{V}}  = \sqrt {\frac{{150}}{{1.5}}}  = \sqrt {100} \mathop {\rm{A}}\limits^o $

$ = 10\mathop {\rm{A}}\limits^o  = 10 \times {10^{ - 10}} = {10^{ - 9}}{\rm{m}}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

As shown in the figure, two equal masses each of $2\, kg$ are suspended from a spring balance. The reading of the spring balance will be ......... $kg$
→
A wire $50\, cm$  long and $1\;mm^2$ in cross -section carries a current of $4\; A$ when connected to a $2\; V$ battery. The resistivity of the wire is
→
Given below are two statements : one is labelled as
Assertion A and the other is labelled as Reason R.
Assertion A: Number of photons increases with increase in frequency of light.
Reason R: Maximum kinetic energy of emitted electrons increases with the frequency of incident radiation.
In the light of the above statements, choose the most appropriate answer from the options given below :
→
Calculate the amount of charge flowing in $2$ minutes in a wire of resistance $10$ $\Omega$ when a potential difference of $20\,V$ is applied between its ends ............ $C$
→
A black body of surface area $10cm^2$ is heated to $127°C$ and is suspended in a room at temperature $27°C$ . The initial rate of loss of heat from the body at the room temperature will be ...... $W$
→
Three thin prisms are combined as shown in figure. The refractive indices of the crown glass for red, yellow and violet rays are ${\mu _r},{\mu _y}$ and ${\mu _v}$ respectively and those for the flint glass are ${\mu _r}',{\mu _y}',{\mu _v}'$ respectively, if there is no net deviation in the yellow ray then the ratio $A'/A$ will be
→
A ball is thrown on a lawn in such a way that it initially slides with a speed $v_0$ without  rolling. It gradually picks up  rotation motion. Speed of the ball at which there will be  rolling without slipping is
→
A Zener diode of breakdown voltage $10V$ is used as a voltage regulator as shown in the figure. The current through the Zener diode is

Image
→
A potentiometer wire $PQ$ of $1\,m$ length is connected to a standard cell $E _{1}$. Another cell $E _{2}$ of emf $1.02\, V$ is connected with a resistance $'r'$ and switch $S$ (as shown in figure). With switch $S$ open, the null position is obtained at a distance of $49\, cm$ from $Q$. The potential gradient in the potentiometer wire is.......$V/cm$
→
A particle executes $SHM$ on a straight line path. The amplitude of oscillation is $2\, cm.$ When the displacement of the particle from the mean position is $1\, cm,$ the numerical value of magnitude of acceleration is equal to the numerical value of magnitude of velocity. The frequency of $SHM$ (in $second^{-1}$) is :
→