# 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.
Explaination / Solution: Workspace
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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
Explaination / Solution: Workspace
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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
Explaination / Solution: Workspace
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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
Explaination / Solution: Workspace
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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|
Explaination / Solution:
No Explaination.

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