Mathematical Methods of Physics-Linear Ordinary Differential Equations of First & Second Order (CSIR Physical Sciences): Questions 1 - 4 of 5

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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, V(r)=kr , where k is a constant. If it is slightly perturbed radially, the angular frequency of radial oscillation is – (June)

Choices

Choice (4) Response
a.

2mk2L3

b.

mk2L3

c.

3mk2L3

d.

mk22L3

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

d2xdt2+2dxdt+x=0

With the initial conditions x(0)=0 and x˙(0)=1 . The solution x(t) attains its maximum value when t is – (June)

Choices

Choice (4) Response
a.

12

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 y(x) be a continuous real function in the range 0 and 2π , satisfying the in homogeneous differential equation:

sinxd2ydx2+cosxdydx=δ(xπ2).

The value of dydx at the point x=π2 . (June)

Choices

Choice (4) Response
a.

Has a discontinuity of 13

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 xyz=8 at the point (1, 2,4) is – (December)

Choices

Choice (4) Response
a.

x+2y+4z=12

b.

4x+2y+z=12

c.

x+4y+2z=12

d.

x+y+z=7

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