Question

Calculate calculate the energy equivalent of 1.6 gram of a substance first in joules and then in mvv

Answer 1

Explanation:

Mass of substance, m= 1.6g = 1.6×10-³ kg

8

velocity of light, V=3×10 m/5=6

According to Einstein's energy =

E=mc²

8

= 1.6×10-³×(3×10) = 1.44×10¹⁴J Answer.

around of energy is equal of 1.6 g.

Now, 1.6×10-¹³ J = 1.Mev

= 1.44 × 10¹⁴ J=9Mev Answer.

Answer 2

energy equivalent for 1.6 gram is 144 X $10^{12}$ joules or 898.56 X $10^{24}$ Mev

given

mass of substance = 1.6 gram

to find

energy equivalent of 1.6 gram of a substance first in joules and then in Mev

solution

according to einsteing mass energy equivalence mass and energy are interconvertible at speeds equal to the speed of light

• according to einstein mass energy equivalence.

$E=mv^{2}$

E= energy of substance. the unit of energy is joules

m= mass of substance in kg = 1.6/1000

v= speed of light = 3 X $10^{8}$ m/s

• E =  $\frac{1.6 X (3 X 10^{8})^{2} }{1000}$

E = 0.0016 X 9 X $10^{16}$

E = 0.0144 X    $10^{16}$ Joules = 144 X $10^{12}$ joules

• now one joule of energy is also $6.24 X 10^{18} eV$

1 joule = $6.24 X 10^{18} eV$ = 6.24 X $10^{12}$ MeV

144 X $10^{12}$ joules = 6.24 X $10^{12}$ X 144 X $10^{12}$ MeV = 898.56 X $10^{24}$ Mev

energy equivalent for 1.6 gram is 144 X $10^{12}$ joules or 898.56 X $10^{24}$ Mev

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