EMT QUIZ

The Cartesian system is also called as

• Circular coordinate system

• Rectangular coordinate system

• Spherical coordinate system

• Space coordinate system

The volume of a parallelepiped in Cartesian is

• dV = dx dy dz

• dV = dx dy

• dV = dy dz

• dV = dx dz

Spherical coordinates are represented in terms of ___________.

• (r, φ, z)

• (r, θ, φ)

• (x, y, z)

• all of these

Cylindrical coordinate 'z' is related to the Cartesian coordinate as __________.

• tan−1(y/x)

• z

• xy/z

• cot z

In a Spherical coordinate system, φ is given as _________.

• y/x

• x/y

• tan−1(y/x)

• tan−1(x/y)

In a Spherical coordinate system, r is given as ___________.

• (x + y + z)

• (x2 + y2 + z2)

• (x2 + y2 + z2)1/2

• none

In terms of Spherical coordinate system variables, y of Cartesian coordinate system is given as ________.

• r sin θ cos φ

• r sin θ sin φ

• r cos θ sin φ

• r cos θ cos φ

In the Cylindrical coordinate system, z ranges between____________.

• 0 and 1

• −∞ and 0

• 0 and −∞

• −∞ and ∞

Line integral involves _________ product.

• scalar

• vector

• both (a) an (b)

• none of these

Divergence of vector field is net outward flux of a vector per unit ______.

• surface area

• volume

• length

• none of these