Home
Class 12
PHYSICS
Let mp be the mass of a proton , mn the ...

Let `m_p` be the mass of a proton , `m_n` the mass of a neutron, `M_1` the mass of a `._10^20Ne` nucleus and `M_2` the mass of a `._20^40Ca` nucleus . Then

A

`M_(2) = 2 M_(1)`

B

`M_(2) gt 2M_(1)`

C

`M_(2) lt 2M_(1)`

D

`M_(1) lt 10(m_(n) + m_(p))`

Text Solution

Verified by Experts

The correct Answer is:
C, D
Due to mass defect (which is finally responsible for the binding energy of the nucleus), mass of a nucleus is always less than the sum of masses of its constituent particles. `._(1.0)^(20)Ne` is made up of `10` protons plus `10` neutrons.
Therefore, mass of `._(10)^(20)Ne` nucleus,
`M_(1) lt 10 (m_(p)+m_(n))`
Also, heavier the nucleus, more is the mass defect. Thus, `20 (m_(n)+m_(p))-M_(2) gt 10 (m_(p)+m_(n))-M_(1)`
`implies 10 (m_(p)+m_(n)) gt M_(2)-M_(1) implies M_(2) lt M_(1)+10(m_(p)+m_(n))`
Now since `M_(1) lt 10 (m_(p)+m_(n)) :. M_(2) lt 2M_(1)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Comprehension #1|3 Videos

  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Comprehension #2|3 Videos

  • SIMPLE HARMONIC MOTION

    ALLEN|Exercise Exercise-05(B)|46 Videos

  • RACE

    ALLEN|Exercise Basic Maths (Wave Motion & Dopplers Effect) (Stationary waves & doppler effect, beats)|24 Videos

  • TEST PAPER

    ALLEN|Exercise PHYSICS|4 Videos

Similar Questions

Explore conceptually related problems

If m_(p) is the mass of proton. m_(n) that of a neutron, M_(1) that of _(10)Ne^(20) nucleus and M_(2) that of _(20)Ca^(40) nucleus, then which of the following relations is//are not true?

M_p denotes the mass of a proton and M_n that of a neutron. A given nucleus, of binding energy B , contains Z protons and N neutrons. The mass M(N,Z) of the nucleus is given by.

M_p denotes the mass of a proton and M_n that of a neutron. A given nucleus, of binding energy B , contains Z protons and N neutrons. The mass M(N,Z) of the nucleus is given by.

The mass of a proton is 1836 times more than the mass of an electron. It a sub-atomic of mass (m) 207 times the mass of electron is captured by the nucleus, then the first ionization potential of H :

If in a nuclear fusion process the masses of the fusing nuclei be m_(1) and m_(2) and the mass of the resuktant nucleus be m_(3) , then

If in a nuclear fusion process the masses of the fusing nuclei be m_(1) and m_(2) and the mass of the resultant nucleus be m_(3) , then

Calculate the binding energy of an alpha -particle in MeV Given : m_(p) (mass of proton) = 1.007825 amu, m_(n) (mass of neutron) = 1.008665 amu Mass of the nucleus =4.002800 amu, 1 amu = 931 MeV.

Two bodies of masses m_1 and m_2(

The mass of proton is 1.0073 u and that of neutron is 1.0087 u ( u= atomic mass unit). The binding energy of ._(2)He^(4) is (mass of helium nucleus =4.0015 u )

All nuclei consist of two types of particles- protaon and neutrons. Nuclear force is the strongest froce. Stability of nucleus is determined by the neutron - proton ratio or mass defect or binding energy per nucleus or packing fraction. Shape of nucleus is calculated by quadrupole moment. Spin of nucleus depends on even or odd mass number. Volume of nucleus depends on the mass number. Whole mass of the atom (nearly 99 % ) is centered at the nucleus. Magnetic moment of the nucleus is measured in terms of the nuclear magnetons. The correct statements about nuclear force is/are

Home
Profile