EE GATE 2016 SET 1 (Test 4)



Tag: ee gate 2016 set 1
Q.1
In cylindrical coordinate system, the potential produced by a uniform ring charge is given by φ = f(r, z), where f is a continuous function of r and z. Let  be the resulting electric field. Then the magnitude of ∇ × 
A. increases with r.
B. is 0.
C. is 3.
D. decreases with z.
Answer : Option B
Explaination / Solution:



Workspace
Report
Q.2
Two electric charges q and −2q are placed at (0,0) and (6,0) on the x-y plane. The equation of the zero equipotential curve in the x-y plane is
A. x = −2
B. y = 2
C. x2 + y2 = 2
D. (x+2)2 + y2 = 16
Answer : Option D
Explaination / Solution:



Workspace
Report
Q.3
 RA and RB are the input resistances of circuits as shown below. The circuits extend infinitely in the direction shown. Which one of the following statements is TRUE?

A. R= RB 
B. R= RB = 0
C. R< RB 
D. R= RA/(1+RA
Answer : Option D
Explaination / Solution:



Workspace
Report
Q.4
In a quadratic function, the value of the product of the roots (α, β) is 4. Find the value of 
A. n4
B. 4n
C. 22n-1
D. 4n-1
Answer : Option A
Explaination / Solution:



Workspace
Report
Q.5

Choose the correct expression for f(x) given in the graph.
A. f(x) = 1 - |x - 1|
B. f(x) = 1 + |x - 1|
C. f(x) = 2 - |x - 1|
D. f(x) = 2 + |x - 1|
Answer : Option C
Explaination / Solution:
No Explaination.


Workspace
Report
Q.6
The Laplace Transform of f(t) = e2t sin(5t) u(t) is
A.
B.
C.
D.
Answer : Option A
Explaination / Solution:



Workspace
Report
Q.7
The value of  where δ(t) is the Dirac delta function, is
A. 1/2e
B. 2/e
C. 1/e2
D. 1/2e2
Answer : Option A
Explaination / Solution:



Workspace
Report
Q.8
Let the eigenvalues of a 2 x 2 matrix A be 1, -2 with eigenvectors x1 and x2 respectively. Then the eigenvalues and eigenvectors of the matrix A− 3A + 4I would, respectively, be
A.
B.
C.
D.
Answer : Option A
Explaination / Solution:



Workspace
Report
Q.9
Let A be a 4 × 3 real matrix with rank 2. Which one of the following statement is TRUE?
A.  Rank of AT A is less than 2.
B.  Rank of AT A is equal to 2.
C.  Rank of AT A is greater than 2
D.  Rank of AT A can be any number between 1 and 3.
Answer : Option B
Explaination / Solution:



Workspace
Report