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JIPMER 2015

Exam: JIPMER
Year: 2015
Subject: Physics
Chapter: Nuclear Physics

JIPMER 2015 · Physics · Nuclear Physics

If M_ O is the mass of an oxygen isotope _8 O^ 17 , M_p and M_n are...

If

M_{\mathrm{O}}

is the mass of an oxygen isotope

{ }_8 \mathrm{O}^{17}

,

M_p

and

M_n

are the masses of a proton and a neutron, respectively, the nuclear binding energy of the isotope is

Options

A $M_0 \mathrm{c}^2$
B $\left(M_0-17 M_n\right) c^2$
C $\left(M_0-8 M_p\right) c^2$
D $\left(8 M_p+9 M_n-M_{\mathrm{O}}\right) c^2$

Correct answer

D. $\left(8 M_p+9 M_n-M_{\mathrm{O}}\right) c^2$

Step-by-step solution

The binding energy is given as

\mathrm{BE}=\Delta m c^2

where,

\Delta m=

mass defect and

\quad C=

speed of light

\Rightarrow \quad \mathrm{BE}=\left(8 M_{\mathrm{p}}+9 M_{\mathrm{n}}-M_{\mathrm{O}}\right) c^2

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