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

Similar questions

A beam of light is converging towards a point $I$ on a screen. A plane glass plate whose thickness in the direction of the beam = $t$, refractive index = $\mu $, is introduced in the path of the beam. The convergence point is shifted by
A flint glass prism and a crown glass prism are to be combined in such a way that the deviation of the mean ray is zero. The refractive index of flint and crown glasses for the mean ray are $1.620$ and $1.518$  respectively. If the refracting angle of the flint prism is $6.0^o$ , what would be the refracting angle of the crown prism?.....$^o$
Two point charges $Q_1, Q_2$ are fixed at $x = 0$ and $x = a$. Assuming that field strength is positive in the direction coinciding with the positive direction of $x$, then, which following option will be correct ?
The output current versus time curve of a rectifier is shown in the figure. The average value of output current in this case is
In the circuit shown in figure, each capacitor has a capacity of 3μF. The equivalent capacity between A and B is
An $AC$ generator is a device which converts:
When the frequency of the source voltage decreases, the impedance of a parallel $RC$ circuit.
Two identical conductors $P$ and $Q$ are placed on two frictionless rails $R$ and $S$ in a uniform magnetic field directed into the plane. If $P$ is moved in the direction shown in figure with a constant speed then rod $Q$
Magnetic lines of force can pass through:
Light waves travel in vaccum along the $y-$axis. Then the wave front is: