# Quantum Mechanics [GATE (Graduate Aptitude Test in Engineering) Physics]: Questions 64 - 68 of 80

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## Question 64

Appeared in Year: *2008*

### Question

MCQ▾The following given a list of pairs containing; (i) a nucleus (ii) one of its properties. Find the pair which is inappropriate.

### Choices

Choice (4) | Response | |
---|---|---|

a. | (i) nucleus; (ii) Binding energy (approximately) | |

b. | (i) nucleus; (ii) stable nucleus | |

c. | (i) nucleus; (ii) nuclear spin | |

d. | (i) A spheroidal nucleus; (ii) an electric quadrupole moment |

## Question 65

Appeared in Year: *2007*

### Question

MCQ▾The energy levels of a particle of mass in a potential of the form are given, in terms of quantum number ; by –

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. |

## Question 66

Appeared in Year: *2007*

### Question

MCQ▾Three operators and satisfy the commutation relations , and .

The set of all possible eigenvalues of the operator , in units of , is –

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. |

### Passage

A beam of identical particles of mass and energy is incident from left on a potential barrier of width (between ) and height as shown in the figure .

For , there is tunneling with a transmission coefficient . Let and denote the amplitudes for the incident, reflected and transmitted waves, respectively.

## Question 67 (1 of 3 Based on Passage)

Appeared in Year: *2008*

### Question

MCQ▾The ratio of the reflected to the incident amplitude is –

### Choices

Choice (4) | Response | |
---|---|---|

a. | in magnitude | |

b. | ||

c. | ||

d. | real negative number |

## Question 68 (2 of 3 Based on Passage)

Appeared in Year: *2008*

### Question

MCQ▾Let the probability current associated with the incident wave be . Let be the reflection coefficient. Then –

### Choices

Choice (4) | Response | |
---|---|---|

a. | The probability current vanishes in the classically forbidden region | |

b. | For, , the probability current is | |

c. | For , the probability current is complex. | |

d. | The probability current is for |