Mathematical Methods of Physics-Linear Ordinary Differential Equations of First & Second Order (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 1 - 4 of 7

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Question number: 1

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

Appeared in Year: 2013

MCQ▾

Question

A planet of mass m and an angular momentum L moves in a circular orbit in a potential, Equation , where k is a constant. If it is slightly perturbed radially, the angular frequency of radial oscillation is – (June)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

Question number: 2

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

Appeared in Year: 2014

MCQ▾

Question

Consider the differential equation

Equation

With the initial conditions Equation andEquation . The solution Equation attains its maximum value when Equation is – (June)

Choices

Choice (4) Response

a.

Equation

b.

2

c.

1

d.

Question number: 3

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

Appeared in Year: 2012

MCQ▾

Question

Let Equation be a continuous real function in the range 0 andEquation , satisfying the in homogeneous differential equation:

Equation

The value of Equation at the point Equation . (June)

Choices

Choice (4) Response

a.

Has a discontinuity of Equation

b.

Is continuous

c.

Has a discontinuity of 1

d.

Has a discontinuity of 3

Question number: 4

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

Appeared in Year: 2011

MCQ▾

Question

The equation of the plane that is tangent to the surface Equation at the point Equation is – (December)

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

Equation

d.

Equation

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