मराठी
कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान 2nd PUC Class 12

What is the de Broglie wavelength of a bullet of mass 0.040 kg travelling at the speed of 1.0 km/s? - Physics

Advertisements
Advertisements

प्रश्न

What is the de Broglie wavelength of a bullet of mass 0.040 kg travelling at the speed of 1.0 km/s?

संख्यात्मक
Advertisements

उत्तर

Mass of the bullet, m = 0.040 kg

Speed of the bullet, v = 1.0 km/s = 1000 m/s

Planck’s constant, h = 6.6 × 10−34 Js

De Broglie wavelength of the bullet is given by the relation:

`lambda = h/(mv)`

= `(6.6 xx 10^(-34))/(0.040 xx 1000)`

= 1.65 × 10−35 m

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 11: Dual Nature of Radiation and Matter - EXERCISES [पृष्ठ २८९]

APPEARS IN

एनसीईआरटी Physics [English] Class 12
पाठ 11 Dual Nature of Radiation and Matter
EXERCISES | Q 11.10 (a) | पृष्ठ २८९

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्‍न

Describe the construction of photoelectric cell.


The wavelength of light from the spectral emission line of sodium is 589 nm. Find the kinetic energy at which

(a) an electron, and

(b) a neutron, would have the same de Broglie wavelength.


What is the de Broglie wavelength of a ball of mass 0.060 kg moving at a speed of 1.0 m/s?


For what kinetic energy of a neutron will the associated de Broglie wavelength be 1.40 × 10−10 m?


Find the de Broglie wavelength of a neutron, in thermal equilibrium with matter, having an average kinetic energy of `(3/2)` kT at 300 K.


Show that the wavelength of electromagnetic radiation is equal to the de Broglie wavelength of its quantum (photon).


Compute the typical de Broglie wavelength of an electron in a metal at 27°C and compare it with the mean separation between two electrons in a metal which is given to be about 2 × 10−10 m.


State any one phenomenon in which moving particles exhibit wave nature.


The wavelength λ of a photon and the de-Broglie wavelength of an electron have the same value. Show that energy of a photon in (2λmc/h) times the kinetic energy of electron; where m, c and h have their usual meaning.


What are matter waves?


70 cal of heat is required to raise the temperature of 2 moles of an ideal gas at constant pressure from 30°C to 35°C. The amount of heat required to raise the temperature of the gas through the same range at constant volume will be (assume R = 2 cal/mol-K).


A proton, a neutron, an electron and an α-particle have same energy. Then their de Broglie wavelengths compare as ______.


The de Broglie wavelength of a photon is twice the de Broglie wavelength of an electron. The speed of the electron is `v_e = c/100`. Then ______.

  1. `E_e/E_p = 10^-4`
  2. `E_e/E_p = 10^-2`
  3. `p_e/(m_ec) = 10^-2`
  4. `p_e/(m_ec) = 10^-4`

An alpha particle is accelerated through a potential difference of 100 V. Calculate:

  1. The speed acquired by the alpha particle, and
  2. The de-Broglie wavelength is associated with it.

(Take mass of alpha particle = 6.4 × 10−27 kg)


The equation λ = `1.227/"x"` nm can be used to find the de Brogli wavelength of an electron. In this equation x stands for:

Where,

m = mass of electron

P = momentum of electron

K = Kinetic energy of electron

V = Accelerating potential in volts for electron


A particle of mass 4M at rest disintegrates into two particles of mass M and 3M respectively having non zero velocities. The ratio of de-Broglie wavelength of particle of mass M to that of mass 3M will be:


Matter waves are ______.


The graph which shows the variation of `(1/lambda^2)` and its kinetic energy, E is (where λ is de Broglie wavelength of a free particle):


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×