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

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

Advertisements
Advertisements

प्रश्न

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

संख्यात्मक
Advertisements

उत्तर

Mass of the ball, m = 0.060 kg

Speed of the ball, v = 1.0 m/s

Planck’s constant, h = 6.6 × 10−34 Js

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

`lambda = h/(mv)`

= `(6.6 xx 10^(-34))/(0.060 xx 1)`

= 1.1 × 10−32 m

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 11: Dual Nature of Radiation and Matter - EXERCISES [पृष्ठ २८९]

APPEARS IN

एनसीईआरटी Physics Part I and II [English] Class 12
अध्याय 11 Dual Nature of Radiation and Matter
EXERCISES | Q 11.10 (b) | पृष्ठ २८९
एनसीईआरटी Physics Part I and II [English] Class 12
अध्याय 11 Dual Nature of Radiation and Matter
Exercise | Q 11.15 (b) | पृष्ठ ४०८

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

Calculate the momentum of the electrons accelerated through a potential difference of 56 V.


What is the de Broglie wavelength of a nitrogen molecule in air at 300 K? Assume that the molecule is moving with the root-mean square speed of molecules at this temperature. (Atomic mass of nitrogen = 14.0076 u)


What are matter waves?


Which one of the following deflect in electric field


A proton and α-particle are accelerated through the same potential difference. The ratio of the de-Broglie wavelength λp to that λα is _______.


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


An electron (mass m) with an initial velocity `v = v_0hati (v_0 > 0)` is in an electric field `E = - E_0hati `(E0 = constant > 0). It’s de Broglie wavelength at time t is given by ______.


An electron (mass m) with an initial velocity `v = v_0hati` is in an electric field `E = E_0hatj`. If λ0 = h/mv0, it’s de Broglie wavelength at time t is given by ______.


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`

Two particles A and B of de Broglie wavelengths λ1 and λ2 combine to form a particle C. The process conserves momentum. Find the de Broglie wavelength of the particle C. (The motion is one dimensional).


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)


Given below are two statements:

Statement - I: Two photons having equal linear momenta have equal wavelengths.

Statement - II: If the wavelength of photon is decreased, then the momentum and energy of a photon will also decrease.

In the light of the above statements, choose the correct answer from the options given below.


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


How will the de-Broglie wavelength associated with an electron be affected when the accelerating potential is increased? Justify your answer.


Matter waves are ______.


In the de Broglie relation, what does \[\lambda\] represent?


In the de Broglie relation, what does \[h\] represent?


In the de Broglie relation, what does \[p\] represent?


What prevents detection of the ball's wave nature?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×