Download App

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

Gujarat BoardEnglish MediumSTD 11 ScienceNEETSTD 12 - 11. Dual nature of radiation and matter4 Marks
MCQ
If ${\lambda _p}$ and ${\lambda _\alpha }$ be the de-Broglie's wavelengths associated with protons and $\alpha  - $ particles of equal kinetic energies, then
  • A
    ${\lambda _p} = \frac{{{\lambda _\alpha }}}{4}$
  • B
    ${\lambda _p} = \frac{{{\lambda _\alpha }}}{2}$
  • C
    ${\lambda _p} = {\lambda _\alpha }$
  • ✓
    ${\lambda _p} = 2{\lambda _\alpha }$
✓

Answer

Correct option: D.
${\lambda _p} = 2{\lambda _\alpha }$
d
$\lambda_{\mathrm{p}}=\frac{\mathrm{h}}{\sqrt{2 \mathrm{m}_{\mathrm{p}} \mathrm{k}}}$

$\lambda_{\alpha}=\frac{\mathrm{h}}{\sqrt{2\left(4 \mathrm{m}_{\mathrm{p}} \mathrm{k}\right)}}=\frac{\lambda_{\mathrm{p}}}{2}$

$\lambda_{\mathrm{p}}=2 \lambda_{\alpha}$

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

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

Similar questions

Unpolarised red light is incident on the surface of a lake at incident angle $\theta_{R}$. An observer seeing the light reflected from the water surface through a polariser notices that on rotating the polariser, the intensity of light drops to zero at a certain orientation. The red light is replaced by unpolarised blue light. The observer sees the same effect with reflected blue light at incident angle $\theta_{B}$. Then,
→
A stone is dropped from a height $h$. Simultaneously, another stone is thrown up from the ground which reaches a height $4 \,h$. The two stones cross each other after time
→
A tuning fork resonates with a sonometer wire of length $1 \mathrm{~m}$ stretched with a tension of $6 \mathrm{~N}$. When the tension in the wire is changed to $54 \mathrm{~N}$, the same tuning fork produces $12$ beats per second with it. The frequency of the tuning fork is $\mathrm{Hz}$.
→
The ratio of the energy of an $X-$ ray photon of wavelength $1 Å$ to that of visible light of wavelength $5000 Å$ is
→
A large tank is filled with water to a height $H$. A small hole is made at the base of the tank. It takes ${T_1}$ time to decrease the height of water to $\frac{H}{\eta }\,(\eta > 1)$; and it takes ${T_2}$ time to take out the rest of water. If ${T_1} = {T_2}$, then the value of $\eta $ is
→
One mole of an ideal gas undergoes a cyclic process, consisting of two isochores and two isobars. Temperature at $1$ and $3$ equal to $T_1$ and $T_3$ respectively. The work done by the gas over the cycle, if the point $2$ and $4$ lie on the same isotherm
→
A straight wire of length $({\pi ^2})$ $metre$ is carrying a current of $2\,A$ and the magnetic field due to it is measured at a point distant $1\, cm$ from it. If the wire is to be bent into a circle and is to carry the same current as before, the ratio of the magnetic field at its centre to that obtained in the first case would be
→
A batsman hits back a ball straight in the direction of the bowler without changing its initial speed of $12 \;m/ s$.

If the mass of the ball is $0.15 \;kg$, determine the impulse (in $N\;s$) imparted to the ball. (Assume linear motion of the ball)

→
The centre of mass of a solid hemisphere of radius $8\, cm$ is $X \,cm$ from the centre of the flat surface. Then value of $x$ is$......$
→
A wheel is at rest. Its angular velocity increases uniformly and becomes $60\ rad/sec$ after $5\ sec$. The total angular displacement is ........ $rad$.
→