Q. No.1. Gibbs free energy
2. Ionisation energy
3. Potential energy
4. Binding energy
1. \(8\)
2. \(14\)
3. \(16\)
4. \(32\)
\({ }_6 \mathrm{C}^{13} \longrightarrow {}_6\mathrm{C}^{12}+{ }_0 n^1+(Q\text{-value})\)
Given: mass of \({ }_6 \mathrm{C}^{13} \Rightarrow x\)
mass of \({ }_6 \mathrm{C}^{12} \Rightarrow y\)
mass of \({ }_0 n^1 \Rightarrow z\)
1. \(({y}+{x}-{z} )~{c}^2\)
2. \(({y}+{z}-{x} )~{c}^2\)
3. \(({y}+{z}+{x} )~{c}^2\)
4. \(({z}+{x}-{y} )~{c}^2\)
\({^{235}_{92}\mathrm U}+{^1_0\mathrm n}\longrightarrow X\longrightarrow{^{144}_{56}\text{Ba}}+Y+3Z\)
It is known that \(Z\) is a particle with no charge but has mass. The binding energy of the products is greater than the reactants by nearly \(1~\text{MeV/nucleon}.\) The atomic number of \(Y\) is:
1. \(38\)
2. \(36\)
3. \(34\)
4. \(32\)
\(M_p\) 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 )
1. \(M(N,Z)= NM_n+ZM_p+ Bc^2\)
2. \(M(N,Z)= NM_n+ZM_p-\frac{B}{c^2}\)
3. \(M(N,Z)= NM_n+ZM_p+\frac{B}{c^2}\)
4. \(M(N,Z)= NM_n+ZM_p- Bc^2\)
Which force is responsible for holding two protons together with the same strength as it holds two neutrons together inside a nucleus?
| 1. | Electric force | 2. | Weak nuclear force |
| 3. | Strong nuclear force | 4. | Gravitational force |
(given binding energy per nucleon for deuteron \(=1.1~\text{MeV}\) and for helium \(=7.0~\text{MeV})\)
1. \(19.2~\text{MeV}\)
2. \(23.6~\text{MeV}\)
3. \(26.9~\text{MeV}\)
4. \(13.9~\text{MeV}\)
\(^{298}_{94}X \rightarrow ^{294}_{92}Y + { ^{4}_{2}\alpha} + Q\text-\text {value}\),
where the binding energy per nucleon of \(X,Y \) and \(\alpha\) are denoted by \(a, b \) and \(c\) respectively.
The expression for the \(Q\)-value is:
1. \((294 b +4c - 298 a)\)
2. \((92 b +2c - 94 a)\)
3. \((294 b +4c + 298 a)\)
4. \((92 b +2c + 94 a)\)
A nucleus has a mass represented by \(M(A, Z).\) If \(M_P\) and \(M_n\) denote the mass of proton and neutron respectively and BE the binding energy, then:
1.
2.
3.
4.
A nucleus \(X\) with a mass number of \(200\) undergoes fission according to the reaction:
\(X^{200} \rightarrow A^{110} + B^{90}. \)
If the binding energy per nucleon for \(X, \) \(A,\) and \(B \) are \(7.4\) MeV, \(8.2\) MeV, and \(8.2\) MeV respectively, what is the total energy released in this process?
| 1. | \(200~ \text {MeV}\) | 2. | \(160~ \text {MeV}\) |
| 3. | \(110~ \text {MeV}\) | 4. | \(90~ \text {MeV}\) |
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