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Linear operators

Total questions: 10

Worksheet time: 6mins

Name
Class
Date
1.

2. What is the resistance if the voltage is 10V and the current is 2A?

(a)  

2.

What are the requirements of a well-behaved function. Check all that apply.

a)

The function is single-valued.

b)

The function is periodic.

c)

The function is finite over its bounds.

d)

The function is continuous.

e)

The function is sinusoidal.

3.

The Stoke’s theorem can be used to find which of the following?

a)

a) Area enclosed by a function in the given region

b)

b) Volume enclosed by a function in the given region

c)

c) Linear distance

d)

d) Curl of the function

4.

According to the laws of electromagnetic induction

 ∇×\nabla\times  E is equal to

a)

0

b)

ϵ/​ρ​.

c)

​ρ/​ϵ

d)

−dB​/dt

5.

linear combinations of spherical harmonics are used to plot angular representations of the hydrogen atom in 3-D space. Why is this the case?

a)

Linear combinations are necessary to calculate the probability.

b)

Linear combinations cancel the imaginary components of the spherical harmonics.

c)

Linear combinations are orthonormal.

d)

Linear combinations aren't actually used; the statement is false.

6.

Find the Gauss value for a position vector in Cartesian system from the origin to one unit in three dimensions.

a)

0

b)

3

c)

-3

d)

1

7.

The cartisian system is also called as

a)

circular co-ordinate system

b)

rectangular co-ordinate system

c)

spherical co-ordinate system

d)

space co-ordinate system

8.
The equation to calculate momentum is
a)
p=mv
b)
p=1/2mv2
c)
p=mgh
d)
p=mg
9.

the average power dissipated across a pure inductor

a)

0

b)

no loss

c)

1/2 LI

d)

1/4 LI

10.

In a pure inductive circuit, the current

a)

lags emf by angle 90

b)

lags emf by 180

c)

leads emf by 90

d)

leads emf by 180