Junior Engineer (Electrical / Electronics)

Q101. The Laplace transform of the unit step function u(t) is:

• A) 1/s
• B) e^-s
• C) s
• D) 1/s²

Q102. The Laplace transform of e^(-at) is:

• A) 1/(s+a)
• B) s/(s+a)
• C) a/s
• D) 1/(s-a)

Q103. The eigenvalues of a diagonal matrix are:

• A) Always zero
• B) The diagonal elements themselves
• C) Equal to the matrix trace only
• D) Always equal to 1

Q104. The rank of a 3×3 identity matrix is:

• A) 0
• B) 1
• C) 2
• D) 3

Q105. The derivative of sin(ωt) with respect to t is:

• A) cos(ωt)
• B) ω cos(ωt)
• C) -sin(ωt)
• D) -ω cos(ωt)

Q106. If a complex number is expressed as 3 + j4, its magnitude is:

• A) 4
• B) 3
• C) 5
• D) 7

Q107. The general solution of the differential equation dy/dx + y = 0 is:

• A) y = Ce^(-x)
• B) y = C
• C) y = Cx
• D) y = Ce^x

Q108. The Fourier series of a periodic even function contains only:

• A) Neither sine nor cosine terms
• B) Cosine terms (and possibly a DC term)
• C) Both sine and cosine terms equally in all cases
• D) Sine terms

Q109. The value of the definite integral of sin(x) dx from 0 to π is:

• A) π
• B) 0
• C) 2
• D) 1

Q110. In matrix algebra, if A is a square matrix and its determinant |A| = 0, then A is called:

• A) A non-singular matrix
• B) A singular matrix
• C) A symmetric matrix
• D) An orthogonal matrix