Time Left - 15:00 mins
GATE20 Engg. Mathematics Series: Vector Calculus Quiz 4 (App update required to attempt this test)
Attempt now to get your rank among 731 students!
Question 1
The velocity vector is given as . The divergence of this velocity vector at (1,1,1)
Question 2
The curl of the gradient of the scalar field defined by
V = 2x2y + 3y2z + 4z2x is
V = 2x2y + 3y2z + 4z2x is
Question 3
For the vector ï the value of ____________
Question 4
If , then the value of div curl F at (1, -1, 1) is _________.
Question 5
The divergence of the vector field is
Question 6
A scalar potential φ has the following gradient.
Consider the integral
The curve C is parameterized as follows
Consider the integral
The curve C is parameterized as follows
Question 7
The value of the line integral , where is a circle of radiusunits is____
Here, and is the UNIT tangent vector on the curve C at an arc length s from a reference point on the curve. i and j are the basis vectors in the x-y Cartesian reference. In evaluating the line integral, the curve has to traversed in the counter-clockwise direction.
Here, and is the UNIT tangent vector on the curve C at an arc length s from a reference point on the curve. i and j are the basis vectors in the x-y Cartesian reference. In evaluating the line integral, the curve has to traversed in the counter-clockwise direction.
Question 8
, where P is a vector, is equal to
Question 9
If then the value where V is the closed region bonded by is _____.
(Answer should be up to three places of decimal)
Question 10
suppose a force given by the vector function ( x – yz )i + ( y2 – xz )j + ( z2 – xy )k, is acting on particle thus making it revolve around a circular path defined by x2 + y2 = 9.what is the work done for one revolution around the circle
- 731 attempts
- 2 upvotes
- 8 comments
Tags :
ESE & GATE MEGeneralAug 14ESE & GATE ME