Electrical Engineering - Online Test

Q1. The solution to the differential equation   where k is a constant, subjected to the boundary conditions u(0)=0 and u(L)=U, is
Answer : Option B
Explaination / Solution:



Q2. The value of the definite integral 
Answer : Option C
Explaination / Solution:



Q3. Find the sum of the expression

Answer : Option B
Explaination / Solution:

The expression can be written as 


Q4. For a matrix  the transpose of the matrix is equal to the inverse of the matrix [M]T = [M]-1. The value of x is given by
Answer : Option A
Explaination / Solution:
No Explaination.


Q5. The divergence of the vector field   at a point (1,1,1) is equal to
Answer : Option C
Explaination / Solution:
No Explaination.


Q6. The inverse Laplace transform of 1/(s2 + s) is
Answer : Option C
Explaination / Solution:
No Explaination.


Q7. If three coins are tossed simultaneously, the probability of getting at least one head is
Answer : Option D
Explaination / Solution:
No Explaination.


Q8. An analytic function of a complex variable z = x + iy is expressed as f(z) = u(x, y) +iv(x, y) where i = √-1. If u = xy, the expression of v should be
Answer : Option C
Explaination / Solution:
No Explaination.


Q9. The solution of x(dy/dx) + y = x4 with the condition y(1) = 6/5 is
Answer : Option A
Explaination / Solution:
No Explaination.


Q10. A path AB in the form of one quarter of a circle of unit radius is shown in the figure. Integration of (x + y)2 on path AB traversed in a counter-clockwise sense is

Answer : Option B
Explaination / Solution:
No Explaination.