# GATE (Graduate Aptitude Test in Engineering) Physics: Questions 176 - 182 of 659

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## Question 176

Appeared in Year: *2011*

### Question

MCQ▾A matrix has elements such that its trace is and its determinant is . The eigenvalues of the matrix are all known to be positive integers. The largest eigenvalue of the matrix is –

### Choices

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

a. | 9 | |

b. | 12 | |

c. | 18 | |

d. | 6 |

## Question 177

Appeared in Year: *2013*

### Write in Short

Short Answer▾The number of spectral lines allowed in the spectrum for the transition in sodium is ________.

## Question 178

Appeared in Year: *2011*

### Question

MCQ▾If and are respectively the components of angular momentum operator , the commutator is equal to

### Choices

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

a. | ||

b. | ||

c. | ||

d. | 0 |

## Question 179

Appeared in Year: *2011*

### Question

MCQ▾The unit vector normal to the surface at the point is –

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 180

Appeared in Year: *2011*

### Question

MCQ▾For a three – dimensional crystal having N primitive unit cells with a basis of atoms, the number of optical branches is –

### Choices

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

a. | ||

b. | 3 | |

c. | ||

d. |

## Question 181

Appeared in Year: *2013*

### Question

MCQ▾The isospin and baryon number of the up quark is –

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 182

Appeared in Year: *2013*

### Question

MCQ▾In a normal Zeeman effect experiment, spectral splitting of the line at the wavelength corresponding to the transition od cadmium atoms is to be observed. The spectrometer has a resolution of . The minimum magnetic field needed to observe this is –

### Choices

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

a. | ||

b. | ||

c. | ||

d. |