Linear operators

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

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

• The function is single-valued.

• The function is periodic.

• The function is finite over its bounds.

• The function is continuous.

• The function is sinusoidal.

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

• a) Area enclosed by a function in the given region

• b) Volume enclosed by a function in the given region

• c) Linear distance

• d) Curl of the function

According to the laws of electromagnetic induction

 $\nabla\times$  E is equal to

• 0

• ϵ/​ρ​.

• ​ρ/​ϵ

• −dB​/dt

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

• Linear combinations are necessary to calculate the probability.

• Linear combinations cancel the imaginary components of the spherical harmonics.

• Linear combinations are orthonormal.

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

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

• 0

• 3

• -3

• 1

The cartisian system is also called as

• circular co-ordinate system

• rectangular co-ordinate system

• spherical co-ordinate system

• space co-ordinate system

The equation to calculate momentum is

• p=mv
• p=1/2mv²
• p=mgh
• p=mg

the average power dissipated across a pure inductor

• 0

• no loss

• 1/2 LI

• 1/4 LI

In a pure inductive circuit, the current

• lags emf by angle 90

• lags emf by 180

• leads emf by 90

• leads emf by 180