Home
Class 12
PHYSICS
A stationary radioactive nucleus of mass...

A stationary radioactive nucleus of mass 210 units disintegrates into an alpha particle of mass 4 units and residual nucleus of mass 206 units. If the kinetic energy of the alpha particle is E, then the kinetic energy of the residual nucleus is

A

`((2)/(105))E`

B

`((2)/(103))E`

C

`((103)/(105))E`

D

`((103)/(2))E`

Text Solution

Verified by Experts

The correct Answer is:
B
Momentum remains constant,
`K=(p^(2))/(2m)or Kprop(1)/(m)implies(K_(n))/(K_(alpha))=(m_(alpha))/(m_(n))=(4)/(206)=(2)/(103)`
`therefore` Kinetic energy of the residual nucleus
`K_(n)=((2)/(103))K_(alpha)=((2)/(103))E`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • NUCLEI

    DC PANDEY|Exercise B Medical entrance special format questions|9 Videos

  • NUCLEI

    DC PANDEY|Exercise MATCH THE COLUMNS|4 Videos

  • NUCLEI

    DC PANDEY|Exercise CHECK POINT 13.3|15 Videos

  • MODERN PHYSICS - 2

    DC PANDEY|Exercise Level 2 Subjective|10 Videos

  • RAY OPTICS

    DC PANDEY|Exercise Medical entrance gallary|76 Videos

Similar Questions

Explore conceptually related problems

What is the distance of closest approach of an alpha particle to a silver nucleus is the kinetic energy of the alpha particle is 0.40 MeV.

A polonium nucleus transforms into one of lead. Find the kinetic energy of the alpha-particle and of the recoil nucleus.

Knowledge Check

  • A stationary thorium nucleus (A = 220, z=90) emits an alpha particle with kinetic energy E_(alpha) . What is the kinetic energy of the recoiling nucleus?

    A
    `(E_(alpha))/108`
    B
    `E_(alpha)/110`
    C
    `E_(alpha)/54`
    D
    None of these

  • A nucleus of mass 220 amu in the free state decays to emit an alpha -particle . Kinetic energy of the alpha -particle emitted is 5.4 MeV. The recoil energy of the daughter nucleus is

    A
    0.25 MeV
    B
    0.5 MeV
    C
    0.1 MeV
    D
    0.75 MeV

  • A stationary nucleus of mass 24 amu emits a gamma photon. The energy of the emitted photon is 7 MeV. The recoil energy of the nucleus is

    A
    (a) `2.2keV`
    B
    (b) `1.1 keV`
    C
    (c) `3.1 keV`
    D
    (d) `2.2 keV`

    • Similar Questions

    Explore conceptually related problems

    A nucleus of mass 218 amu in Free State decays to emit an alpha -particle. Kinetic energy of the beta- particle emitted is 6.7 MeV . The recoil energy (in MeV) of the daughter nucleus is

    A nucleus of mass number 220 , initially at rest, emits an alpha -particle. If the Q value of the reaction is 5.5MeV , the energy (in MeV) of the emitted alpha -particle will be

    A stationery thorium nucleus (A=200 , Z=90) emits an alpha particle with kinetic energy E_(alpha) . What is the kinetic energy of the recoilling nucleus

    When an alpha particle emitted from an unstable nucleus, the mass number of the nucleus

    In Rutherford experiment alpha – particles are scattered by nucleus having change 100 e^(-) Initial kinetic energy of alpha - particles is 6 MeV . The size of the nucleus is

    Home
    Profile