# Engineering Mathematics [GATE (Graduate Aptitude Test in Engineering) Electrical Engineering]: Questions 149 - 152 of 169

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## Question 149

Appeared in Year: *2018*

### Question

MCQ▾A DC voltage source is connected to a series L-C circuit by turning on the switch S at time as shown in the figure. Assume . Which one of the following circular loci represents the plot of versus ?

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 150

Appeared in Year: *2017*

### Question

MCQ▾The output y (t) of the following system is to be sampled, so as to reconstruct it from its samples uniquely. The required minimum sampling rate is

### Choices

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

a. | 1500 sample/s | |

b. | 2000 samples/s | |

c. | 1000 samples/s | |

d. | 3000 samples/s |

## Question 151

Appeared in Year: *2017*

### Question

MCQ▾Let

Consider the composition of f and g, i.e.. , The number of discontinuities in (fog) (x) present in the interval is:

### Choices

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

a. | 0 | |

b. | 1 | |

c. | 2 | |

d. | 4 |

## Question 152

Appeared in Year: *2017*

### Question

Numeric Answer▾A thin soap bubble of radius R = 1 cm, and thickness a = 3.3 µm (a ≪ R) is at a potential of 1 V with respect to a reference point at infinity. The bubble bursts and becomes a single spherical drop of soap (assuming all the soap is contained in the drop) of radius r. The volume of the soap in the thin bubble is and that of the drop is . The potential in volts, of the resulting single spherical drop with respect to the same reference point at infinity is ________. (Give the answer up to two decimal places.)