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Standard VIII

Chemistry

Three Subatomic particles

Mp denotes th...

Question

$M_{p}$ 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: (c is the velocity of light)

M (N, Z) = N M_{n} + Z M_{p} + B c^{2}

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M (N, Z) = N M_{n} + Z M_{p} - \frac{B}{c^{2}}

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M (N, Z) = N M_{n} + Z M_{p} + \frac{B}{c^{2}}

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M (N, Z) = N M_{n} + Z M_{p} - B c^{2}

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Solution

The correct option is B $M (N, Z) = N M_{n} + Z M_{p} - \frac{B}{c^{2}}$
Sol: $B E = Δ m c^{2}$ formula
$∴ B e = [{N M}_{n} + {Z M}_{p} - M (A, Z)] C^{2}$
$\frac{B E}{C^{2}} = (A - Z) M_{n} + {Z M}_{p} - M (A, Z)$
$∵ N = A - Z$
$∴ M (A, Z) = Z M_{p} + (A - Z) M_{n} - \frac{B E}{C^{2}}$
$M (A, Z) = Z M_{p} + N M_{n} - \frac{b}{C^{2}}$
$N = A - Z$
Here, $M_{p}$ :Mass of proton
$M_{n}$ :Mass of electron

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Mp denotes the mass of a proton and Mn 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: (c is the velocity of light)

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