# Classical Mechanics [GATE (Graduate Aptitude Test in Engineering) Physics]: Questions 64 - 66 of 84

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## Question 64

Appeared in Year: *2008*

### Question

MCQ▾An exact measurement of the position of a simple harmonic oscillator is made with the result . [The has energy levels and associated normalized wave – functions ] . Subsequently, an exact measurement of energy is made. Using the general notation denoting the probability that a result is obtained for this measurement, the following statements are written. Which one of the following statements is correct?

### Choices

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

a. | for some value of | |

b. | for any | |

c. | ||

d. |

## Question 65

Appeared in Year: *2008*

### Question

MCQ▾A cylinder of mass and radius is rolling down without slipping on an inclined plane of angle of inclination . The number of generalized coordinates required to describe the motion of this system is –

### Choices

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

a. | 6 | |

b. | 2 | |

c. | 4 | |

d. | 1 |

## Question 66

Appeared in Year: *2007*

### Question

MCQ▾The moment of inertia of a uniform sphere of radius about an axis passing through its centre is given by . A rigid sphere of uniform mass density and radius has two smaller sphere of radius hollowed out of it, as shown in the figure. The moment of inertia of the resulting body about the – axis is –

### Choices

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

a. | ||

b. | ||

c. | ||

d. |