Question
What is de-Broglie wave? Write an expression for its wavelength.
✓
Answer
de-Broglie Wavelength : The wave associated with the particle in motion with high speed is called deBroglie wave. The wavelength of this wave is called deBroglie wavelength.
Expression for de-Broglie wavelength :
$ \lambda=\frac{h}{p}; $ or $ \lambda=\frac{h}{mv} $ or $ \lambda=\frac{h}{\sqrt{2mK}} $ or $ \lambda=\frac{h}{\sqrt{2mqV}} $
where = $h$ Planck's constant and $p$ linear momentum of the particle in motion.
$m$ = mass of the particle,
$v$ = speed of the particle,
K = kinetic energy of the particle.
If the particle is charged having charge $q$, and the kinetic energy K is obtained by it when it is accelerated through potential difference V, then K = qV.
Expression for de-Broglie wavelength :
$ \lambda=\frac{h}{p}; $ or $ \lambda=\frac{h}{mv} $ or $ \lambda=\frac{h}{\sqrt{2mK}} $ or $ \lambda=\frac{h}{\sqrt{2mqV}} $
where = $h$ Planck's constant and $p$ linear momentum of the particle in motion.
$m$ = mass of the particle,
$v$ = speed of the particle,
K = kinetic energy of the particle.
If the particle is charged having charge $q$, and the kinetic energy K is obtained by it when it is accelerated through potential difference V, then K = qV.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Suppose that the particle in Exercise in 1.33 is an electron projected with velocity vx = 2.0 × 106 m s–1. If E between the plates separated by 0.5 cm is 9.1 × 102 N/C, where will the electron strike the upper plate? (|e|=1.6 × 10–19 C, me = 9.1 × 10–31 kg.)
A converging lens and a diverging mirror are placed at a separation of 15cm. The focal length of the lens is 25cm and that of the mirror is 40cm. Where should a point source be placed between the lens and the mirror so that the light, after getting reflected by the mirror and then getting transmitted by the lens, comes out parallel to the principal axis?
The figure below shows planer loops of different shapes moving out of or into a region of the magnetic field which is directed normal to the plane of the loops away from the reader. Determine the direction of induced current in each loop using Lenz's law. Check if you would obtain the same answers by considering the magnetic force on the charge inside the moving loops.
A long charged cylinder of linear charged density λ is surrounded by a hollow co-axial conducting cylinder. What is the electric field in the space between the two cylinders?
Explain Lorentz force and state its characteristics.
Does the force on a charge due to another charge depend on the charges present nearby?
(i) Determine the resonant frequency of series L-C-R circuit.
(ii) A charged $30 \mu F$ capacitor is connected to a 27mH inductor. Find the frequency of free oscillations of the circuit.
→(ii) A charged $30 \mu F$ capacitor is connected to a 27mH inductor. Find the frequency of free oscillations of the circuit.
Show that the radius of the orbit in hydrogen atom varies as n2, where n is the principal quantum number of the atom.
A nearsighted person cannot see beyond 25cm. Assuming that the separation of them glass from the eye is 1cm, find the power of lens needed to see distant objects.
Four point charges qA = 2 μC, qB = –5 μC, qC = 2 μC, and qD = –5 μC are located at the corners of a square ABCD of side 10 cm. What is the force on a charge of 1 μC placed at the centre of the square?