Home
Class 11
CHEMISTRY
The kinetic energy of a subatomic partic...

The kinetic energy of a subatomic particle is `3.60xx10^(-24)`J. calculate the frequency of the corresponding particle wave.

Text Solution

Verified by Experts

Kinetic energy `=(1)/(2)mv^(2)=3.60xx10^(-24)J`
`therefore mv^(2)=2xx3.60xx10^(-24)J=7.2xx10^(-24)J`
For any given wave, `lamda=(v)/(nu)`
`therefore (h)/(mv)=(v)/(nu) or, v=(mv^(2))/(h)=(7.2xx10^(-24))/(6.626xx10^(-34))=1.086xx10^(10)s^(-1)`
Promotional Banner

Topper's Solved these Questions

  • STRUCTURE OF ATOM

    CHHAYA PUBLICATION|Exercise WARM UP EXERCISE|157 Videos

  • STRUCTURE OF ATOM

    CHHAYA PUBLICATION|Exercise QUESTION ANSWER ZONE FOR BOARD EXAMINATION (VERY SHORT ANSWER TYPE)|28 Videos

  • STATES OF MATTER : GASES AND LIQUIDS

    CHHAYA PUBLICATION|Exercise PRACTICE SET|10 Videos

Similar Questions

Explore conceptually related problems

The kinetic energy of sub-atomic particle is 5.85 xx 10^(-25) J. Calculate the frequency of the particle wave. (Planck’s constant, h = 6.626 xx 10^(-34) Js)

The kinetic energy of an electron is 4.55x10^(-25)J calculate the wavelength.

A sub-atomic particle has a kinetic energy of 3.6xx10^(-24)J . Calculate the frequency of the wave associated with the motion of this particle.

When a radiation of frequency 7.5xx10^(14)Hz strikes a metal surface, the maximum kinetic enegy attained by the emitted electrons is 1.6xx10^(-19)J . Calculate the threshold frequency of the metal.

A particle of mass 10 g moves along a circle of radius 6.4 cm with a constant tangential acceleration. What is the magnitude of this acceleration if the kinetic energy of the particle becomes equal to 8xx10^(-4) J by the end of the second revolution after the beginning of the motion ?

A bomb explodes into two fragment of masses 2.0 kg and 1.0kg. The total kinetic energy of the fragment is 3.0xx10^4J . Calculate (i) kinetic energy of the bigger fragment , (ii) momentum of the smaller fragment.

The momentum of two moving particles are equal, but the kinetic energy of the first particles is 4 times that of the second. Find the ratio of their de Broglie wavelengths.

Two particles A and B are in motion. If the wavelength associated with the particle A is 5 xx 10^(-8) m , calculate the wavelength of particle B, if its momentum is half of A.

When a particle executing SHM oscillates with a frequency v, then the kinetic energy of the particle