# Mathematical Methods of Physics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 69 - 72 of 77

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## Question number: 69

» Mathematical Methods of Physics » Linear Algebra

Appeared in Year: 2016

MCQ▾

### Question

A stable asymptotic solution of the equation is . If we take and , where and are both small, the ratio is approximately: (December)

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 70

» Mathematical Methods of Physics » Finite Difference Methods

Appeared in Year: 2016

MCQ▾

### Question

Given the values , the approximate value of , computed by Newton’s forward difference method, is: (December)

### Choices

Choice (4) Response

a.

0.804

b.

0.776

c.

0.788

d.

0.798

## Question number: 71

» Mathematical Methods of Physics » Partial Differential Equations

Appeared in Year: 2016

MCQ▾

### Question

Let be a solution of the heat equation in one dimension. The initial condition at is for . Then for all is given by:

[Useful integral: . ] (December)

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 72

» Mathematical Methods of Physics » Linear Ordinary Differential Equations of First & Second Order

Appeared in Year: 2016

MCQ▾

### Question

The resistance of a sample is measured as a function of temperature, and the data are shown below.

The slope of vs graph, using a linear least – squares fit to the data, will be: (December)

### Choices

Choice (4) Response

a.

b.

c.

d.

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