# GATE (Graduate Aptitude Test in Engineering) Physics: Questions 287 - 292 of 659

Access detailed explanations (illustrated with images and videos) to **659** questions. Access all new questions- tracking exam pattern and syllabus. View the complete topic-wise distribution of questions. *Unlimited Access, Unlimited Time, on Unlimited Devices*!

View Sample Explanation or View Features.

Rs. 450.00 -OR-

How to register? Already Subscribed?

## Question 287

Appeared in Year: *2010*

### Question

MCQ▾If , then the Laplace transform of is –

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

### Passage

In a one – dimensional harmonic oscillator, and are respectively the ground, first and the second excited states. These three states are normalized and are orthogonal to one another.

, where is a constant.

## Question 288 (1 of 2 Based on Passage)

Appeared in Year: *2011*

### Question

MCQ▾For the value of determined in above question, the expectation value of energy of the oscillator in the state is –

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 289 (2 of 2 Based on Passage)

Appeared in Year: *2011*

### Question

MCQ▾The value of for which is orthogonal to is –

### Choices

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

a. | 1 | |

b. | ||

c. | ||

d. | 2 |

## Question 290

Appeared in Year: *2010*

### Question

MCQ▾A system of non – interacting classical point particle is constrained to move on the two – dimensional surface of a sphere. The internal energy of the system is –

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 291

Appeared in Year: *2010*

### Question

MCQ▾For any set of inputs, A and B, the following circuits give the same output, except one. Which one is it?

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 292

Appeared in Year: *2010*

### Question

MCQ▾The first three energy levels of are shown below

The expected spin – parity and energy of the next level are given by –

### Choices

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

a. | ||

b. | ||

c. | ||

d. |