SATHEE: Atoms And Nuclei Question 249

Atoms And Nuclei Question 249

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) [CBSE PMT 2004]

Options:

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

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

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

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

Show Answer

Answer:

Correct Answer: C

Solution:

$B = [Z M_{p} + N M_{n} - M (N, Z)] c^{2}$
$\Rightarrow M (M, Z) = Z M_{p} + N M_{n} - B / c^{2}$

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Atoms And Nuclei Question 249

Question: 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) [CBSE PMT 2004]

Options:

Answer:

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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) [CBSE PMT 2004]