A nucleus having mass number 240 decays by α-emission to the ground state of its daughter nucleus. The Q value of the process is 5.26 MeV. The energy (in MeV) of the α particle is

The binding energy per nucleon is 8.5 MeV for A ≈ 120 and is 7.6 MeV for A = 240 (where A is atomic mass). Suppose a nucleus with A = 240 breaks into two nuclei of nearly equal mass numbers. Calculate the energy released in the process.

A

190 MeV

B

216 MeV

C

144 MeV

D

256 MeV

Mass numbers of the elements A, B, C and D are 30, 60, 90 and 120 respectively. The specific binding energy of them are 5 MeV, 8.5 MeV, 8 MeV and 7 MeV respectively. Then, in which of the following reactions energy is released? (a) D → 2 B (b) C → B + A (c) B → 2 A

A

only in (a)

B

in (b), (c)

C

in (a), (c)

D

in (a), (b) and (c)

The mass difference between the pair of mirror nuclei $${}_6^{11}C$$ and $${}_5^{11}B$$ is given to be Δ MeV/c². According to the semi-empirical mass formula, the mass difference between the pair of mirror nuclei $${}_9^{17}F$$ and $${}_8^{17}O$$ will approximately be (rest mass of proton m_p = 938.27 MeV/c² and rest mass of neutron m_n = 939.57 MeV/c²)

A

1.39Δ MeV/c²

B

(1.39Δ + 0.5) MeV/c²

C

1.86Δ MeV/c²

D

(1.6Δ + 0.78) MeV/c²

The disintegration energy is defined to be the difference in the rest energy between the initial and final states. Consider the following process: $${}_{94}^{240}{\text{Pu}} \to {}_{92}^{236}{\text{U}} + {}_2^4{\text{He}}$$
The emitted α-particle has a kinetic energy 5.17 MeV. The value of the disintegration energy is

A

5.26 MeV

B

5.17 MeV

C

5.08 MeV

D

2.59 MeV

Seven people A, B, C, D, E, F and G live on separate floors of a 7-floor building. Ground floor is numbered 1, first floor is numbered. 2 and so on until the topmost floor is numbered 7. Each one of these having a different cars-Cadillac, Ambassador, Fiat, Maruti, Mercedes, Bedford and Fargo but not necessarily in the same order. Only three people live above the floor on which A lives. Only one person lives between A and the one having a car Cadillac. F lives immediately below the one having a car Bedford. The one having a car Bedford lives on an even-numbered floor. Only three people live between the ones having a car Cadillac and Maruti. E lives immediately above C. E is not having a car Maruti. Only two people live between B and the one having a car Fargo. The one having a car Fargo lives below the floor on which B lives. The one having a car Fiat does not live immediately above D or immediately below B. D does not live immediately above or immediately below A. G does not have a car Ambassador. Question : How many people live between the floors on which D and the one having a car Bedford ?

A

One

B

Two

C

Three

D

Four

As one moves along the line of stability from ⁵⁶Fe to ²³⁵U nucleus, the nuclear binding energy per particle decreases from about 8.8 MeV to 7.6 MeV. This trend is mainly due to the

A

short range nature of the nuclear forces

B

long range nature of the Coulomb forces

C

tensor nature of the nuclear forces

D

spin dependence of the nuclear forces

A particle of mass m is confined in the potential
Quantum Mechanics mcq question image

\[V\left( x \right) = \left\{ {\begin{array}{*{20}{c}} {\frac{1}{2}m{\omega ^2}{x^2},}&{{\text{for }}x Let the wave function of the particle be given by $$\psi \left( x \right) = - \frac{1}{{\sqrt 5 }}{\psi _0} + \frac{2}{{\sqrt 5 }}{\psi _1}$$
where $${\psi _0}$$ and $${\psi _1}$$ are the eigen functions of the ground state and the first excited slate respectively. The expectation value of the energy is

A

$$\frac{{31}}{{10}}\hbar \omega $$

B

$$\frac{{25}}{{10}}\hbar \omega $$

C

$$\frac{{13}}{{10}}\hbar \omega $$

D

$$\frac{{11}}{{10}}\hbar \omega $$

What is the monoisotopic and average mass of valine? Given data: Mass of the most abundant isotope of Carbon (C°)=12.0000, Mass of most abundant isotope of Hydrogen (H°)=1.0078, Mass of most abundant isotope of Oxygen (O°)=15.9949, Mass of most abundant isotope of Nitrogen (N°)=14.0031, The average mass of Carbon (C)=12.011, The average mass of Hydrogen (H)=1.008, The average mass of Oxygen (O)=15.999, The average mass of Nitrogen (N)=14.007.

A

99.068 and 99.2361

B

99.216 and 99.326

C

99.111 and 99.321

D

99.068 and 99.132

A particle of mass M moving in a straight line with speed v collides with a stationary particle of the same mass. In the centre of mass coordinate system, the first particle is deflected by 90°. The speed of second particle after collision in laboratory system will be

A

$$\frac{v}{{\sqrt 2 }}$$

B

$$\sqrt 2 v$$

C

$$v$$

D

$$\frac{v}{2}$$

Consider a nucleus with N neutrons and Z protons. If m_p, m_n and BE represents the mass of the proton, the mass of the neutron and the binding energy of the nucleus respectively and c is the velocity of light in free space, the mass of the nucleus is given by

A

Nm_n + Zm_p

B

Nm_p + Zm_n

C

Nm_n + Zm_p + $$\frac{{BE}}{{{c^2}}}$$

D

Nm_p + Zm_n + $$\frac{{BE}}{{{c^2}}}$$

A nucleus having mass number 240 decays by α-emission to the ground state of its daughter nucleus. The Q value of the process is 5.26 MeV. The energy (in MeV) of the α particle is

Related Questions