Home
Class 12
PHYSICS
Find the energy equivalent of one atomic...

Find the energy equivalent of one atomic mass unit, first in Joules and then in MeV. Using this, express the mass defect of `""_(8)^(16)O` in `MeV//c^2`.

Text Solution

Verified by Experts

`1 u = 1.6605 xx 10^(-27) kg`
To convert it into energy units, we multiply it by `c^2` and find that energy equivalent `= 1.6605 xx 10^(-27) xx (2.9979 xx 10^8)^2 kg m^2//s^2`
`= 1.4924 xx 10^(-10) J`
`= (1.4924 xx 10^(-10))/(1.602 xx 10^(-19)) eV`
`= 0.9315 xx 10^(9) eV`
`= 931.5 MeV`
or, `1 u = 931.5 MeV//c^2`
For `""_(8)^(16)O , " " Delta M = 0.13691 u = 0.13691 xx 931.5 MeV//c^2`
`= 127.5 MeV//c^2`
The energy needed to separate `""_(8)^(16)O` into its constituents is thus `127.5 MeV//c^2`.
Promotional Banner

Topper's Solved these Questions

  • NUCLEI

    NCERT GUJARATI|Exercise EXERCISE|22 Videos

  • NUCLEI

    NCERT GUJARATI|Exercise ADDITIONAL EXERCISES|9 Videos

  • MOVING CHARGES AND MAGNETISM

    NCERT GUJARATI|Exercise ADDITIONAL EXERCISES|17 Videos

  • RAY OPTICS AND OPTICAL INSTRUMENTS

    NCERT GUJARATI|Exercise EXERCISES|40 Videos

Similar Questions

Explore conceptually related problems

The mass of nucleus ._(z)X^(A) is less than the sum of the masses of (A-Z) number of neutrons and Z number of protons in the nucleus. The energy equivalent to the corresponding mass difference is known as the binding energy of the nucleus. A heavy nucleus of mass M can break into two light nuclei of mass m_(1) and m_(2) only if (m_(1)+m_(2)) lt M . Also two light nuclei of massws m_(3) and m_(4) can undergo complete fusion and form a heavy nucleus of mass M ''only if (m_(3)+m_(4)) gt M ''. The masses of some neutral atoms are given in the table below. |{:(._(1)^(1)H,1.007825u,._(1)^(2)H,2.014102u,),(._(1)^(3)H,3.016050u,._(2)^(4)H,4.002603u,),(._(3)^(6)Li,6.015123u,._(3)^(7)Li,7.016004u,),(._(30)^(70)Zn,69.925325u,._(34)^(82)Se,81.916709u,),(._(64)^(152)Gd,151.91980u,._(82)^(206)Pb,205.97445u,),(._(83)^(209)Bi,208.980388u,._(84)^(210)Po,209.982876u,):}| The correct statement is

Find the energy possessed by an object of mass 10kg when it is at a height of 6m above the ground. Given g=9.8ms^(-2) .

If mass-energy equivalence is taken into account , when water is cooled to form ice, the mass of water should :-(Note: The mass energy of an object is the energy equivalent of its mass , as given by E= mc^(2) , where m= mass of object & c = speed of light)

Four containers are filled with monoatomic ideal gases. For each container , the number of moles , the mass of an individual atom and the rms speed of the atoms are expressed in terms of n , m and v_("rms") respectively . If T_(A) , T_(B) , T_(C) and T_(D) are their temperatures respectively then which one of the options correctly represents the order ?

Comprehension # 1 Potash is any potassium mineral that is used for its potassium content. Most of the potash produced in the United States goes into fertilizer. The major sources of potash are potassium choride (KCI) and potassium sulphate (K_(2)SO_(4)) . Potash production is often reported as the potassium oxide (K_(2)O) equivalent or the amount of K_(2)O that could be made from a given mineral. KCI cost Rs 50 per kg What mass ("in kg") of K_(2)O contains the same number of moles of K atoms as 1.00 kg KCI ?

The SI unit of energy is J=kg m^(2)s^(-2) , that of speed v is ms^(-1) and of acceleration a is ms^(-2) . What of the formulae for kinetic energy (k) given below can you rule out on the basis of dimensional arguments (m stands for the mass of the body) : (a) K = m^(2)v^(2) (b) K = (1/2)mv^(2) ("c") K= ma (d) K = (3/16)mv^(2) (e) K=(1/2)mv^(2)+ma