# Mathematical Methods of Physics (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 65 - 68 of 77

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 463 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 300.00 or

## Passage

Consider the matrix (June)

## Question number: 65 (1 of 1 Based on Passage) Show Passage

» Mathematical Methods of Physics » Taylor & Laurent Series

Appeared in Year: 2011

MCQ▾

### Question

The exponential of M simplifies to (I is the identity matrix)

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 66

» Mathematical Methods of Physics » Dimensional Analysis

MCQ▾

### Question

Using dimensional analysis, Plank defined a characteristic temperature from powers of the gravitational constant , Planck’s constant , Boltzmann constant and the speed of light in vacuum. The expression for is proportional to – (June)

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 67

» Mathematical Methods of Physics » Analytic Functions

Appeared in Year: 2016

MCQ▾

### Question

The dependence of current on the voltage of a certain device is given by,

Where and are constant. In an experiment the current is measured as the voltage applied across the device is increased. The parameters and can be graphically determined as, (June)

### Choices

Choice (4) Response

a.

The slope and the intercept of the graph

b.

The negative of the ratio of the intercept and the slope, and the intercept of the graph

c.

The slope and the intercept of the graph

d.

The negative of ratio of intercept and slope, and intercept of the graph

## Question number: 68

» Mathematical Methods of Physics » Cayley-Hamilton Theorem

Appeared in Year: 2016

MCQ▾

### Question

The matrix satisfies the equation: (December)

### Choices

Choice (4) Response

a.

b.

c.

d.

f Page