# Trivia Questions On Differential Equation

28 Questions | Total Attempts: 418  Settings  • 1.
1. A Laplace Transform exists when ______
• A.

The function is piece-wise continuous

• B.

The function is of exponential order

• C.

The function is piecewise discrete

• D.

The function is of differential order

• 2.
A partial differential equation requires :
• A.

Exactly one independent variable

• B.

More than one dependent variable

• C.

Two or more independent variables

• D.

Equal number of dependent and independent variables

• 3.
Laplace transform of ​cos(at) = ?
• A.

.

• B.

.

• C.

.

• D.

.

• 4.
In the Fourier series for Odd functions what all coefficients become zero?
• A.

A​n

• B.

Bn

• C.

A0

• D.

B0

• 5.
Which of the following are Legendre Differential equations?
• A.

.

• B.

.

• C.

.

• D.

.

• 6.
The solution of a differential equation which is not obtained from the general solution is known as :
• A.

Particular solution

• B.

Complete solution

• C.

Auxiliary solution

• D.

Singular solution

• 7.
Cauchy - Euler equation out of the following is:
• A.

.

• B.

.

• C.

.

• D.

.

• 8.
L[f ′(t)]   is :
• A.

L[f(t)] – Sf(0)

• B.

S L[f(t)] – f(0)

• C.

S L[f(t)]

• D.

L[f(t)] – f(0)

• 9.
Wronskian of two linearly dependent functions f and g is:
• A.

Non zero

• B.

Non zero and W(f, g) = f g′ – g f ′

• C.

Zero

• D.

Depends on the functions

• 10.
Find the value of the following integral
• A.

Tan x + C

• B.

Tan x + x + C

• C.

Tan x - x + C

• D.

Sec x - x + C

• 11.
The ohmmeter reading for a short-circuited capacitor is
• A.

Infinity

• B.

Few mega ohms

• C.

Few kilo ohms

• D.

Zero

• 12.
Which one of the following statements does not state that electrostatic field is conservative?
• A.

The curl of E is identically zero

• B.

The potential difference between two points is zero

• C.

The electrostatic field is a gradient of a scalar potential

• D.

The work done in a closed path inside the field is zero

• 13.
When a magnet is in motion relative to a coil the induced e.m.f. does not depend upon
• A.

Resistance of the coil

• B.

Motion of the magnet

• C.

Number of turns of the coil

• D.

Pole strength of the magnet

• 14.
The uniform magnetic field is
• A.

The field of a set of parallel conductors

• B.

The field of a single conductor

• C.

The field in which all lines of magnetic flux are parallel and equidistant

• D.

None of the above

• 15.
Which of the following statements are correct?
• A.

The conductivity of ferrites is same as that of ferromagnetic materials

• B.

The conductivity of ferromagnetic materials is better than ferrites

• C.

The conductivity of ferrites is very high

• D.

The conductivity of ferrites is better than ferromagnetic materials

• 16.
If a copper disc is rotated rapidly below a freely suspended magnetic needle, the magnetic needle shall start rotating with a velocity
• A.

Less than that of disc but in opposite direction

• B.

Equal to that of disc and in the same direction

• C.

Equal to that of disc and in the opposite direction

• D.

Less than that of disc and in the same direction

• 17.
The field strength at a point of finite distance from an infinitely long straight uniformly charged conductor is obtained by considering the radial (R) component and the longitudinal (L) component of the forces acting on a unit charge at the point, by the charges on the elemental length of the conductor. The resultant field strength is
• A.

The sum of L-components, when the sum of R-components is zero

• B.

The sum of R-components, when the sum of L-components is zero

• C.

The sum of both R- and L-components

• D.

Average of the sumes of R- and L-components

• 18.
Which of the above statements are correct?Maxwell equations
• A.

Are extension of the works of Gauss, Faraday and Ampere

• B.

Help studying the application of electrostatic fields only

• C.

Can be written in integral form and point form

• D.

need not be modified depending upon the media involved in the problem

• 19.
For electromechanical energy conversion, a magnetic field is employed as the medium rather than electric field ​because
• A.

The electric field presents insultation problem

• B.

The specific magnetic loss is more than the specific dielectric loss

• C.

The stored energy density for practicable field strength is low in the electric field

• D.

None of the above

• 20.
For electrostatic fields in charge free atmosphere, which one of the following is correct?
• A.

Option 1

• B.

Option 2

• C.

Option 3

• D.

Option 4

• 21.
Aluminum alloy has an FCC structure
• A.

True

• B.

False

• 22.
Brittle materials typically fail fast and with excessive plastic deformation.
• A.

True

• B.

False

• 23.
All are attributes of ceramics, except:
• A.

Covalent bonded

• B.

Low melting point

• C.

High stiffness

• D.

High hardness

• 24.
Particles that most effects material properties
• A.

Neutrons

• B.

Protons

• C.

Electrons

• D.

Valence electrons

• 25.
Coordination number in simple cubic crystal structure
• A.

1

• B.

2

• C.

3

• D.

4

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