A solid iron cylinder is placed in a region containing a uniform magnetic field such that the cylinder axis is parallel to the magnetic field direction. The magnetic field lines inside the cylinder will

**A. ** bend closer to the cylinder axis

**B. ** bend farther away from the axis

**C. ** remain uniform as before

**D. ** cease to exist inside the cylinder

**Answer : ****Option A**

**Explaination / Solution: **

Flux always chooses less reluctance path. So flux tried to flow inside the conductor and closer to the axis of the cylinder.

Flux always chooses less reluctance path. So flux tried to flow inside the conductor and closer to the axis of the cylinder.

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Two passive two-port networks are connected in cascade as shown in figure. A voltage source is
connected at port 1.

_{2} = C_{2}V_{3}
+ D_{2}I_{3}**A. **

**B. **

**C. **

**D. **

**Answer : ****Option D**

**Explaination / Solution: **

Given V_{1} = A_{1}V_{2} + B_{1}I_{2}

I_{1} = C_{1}V_{2} + D_{1}I_{2}

V_{2} = A_{2}V_{3} + B_{2}I_{3}

A1 ,B1 ,C1 ,D1 ,A2 ,B2 ,C2 and D2 are the generalized circuit constants. If the Thevenin equivalent
circuit at port 3 consists of a voltage source VT and impedance ZT connected in series, then

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The switch in the figure below was closed for a long time. It is opened at t = 0. The current in
the inductor of 2 H for
t ≥ 0 is

**A. ** 2.5e^{-4t}

**B. ** 5e^{-4t}

**C. ** 2.5e^{-0.25t}

**D. ** 5e^{-0.25t}

**Answer : ****Option A**

**Explaination / Solution: **

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A load is supplied by a 230 V, 50 Hz source. The active power P and the reactive power Q consumed by the load are such that 1 kW ≤ P ≤ 2kW and 1kVAR ≤ Q ≤ kVAR . A capacitor connected across the load for power factor correction generates 1 kVAR reactive power. The worst case power factor after power factor correction is

**A. ** 0.447 lag

**B. ** 0.707 lag

**C. ** 0.894 lag

**D. ** 1

**Answer : ****Option B**

**Explaination / Solution: **

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For a complex number z, is

**A. ** -2i

**B. ** -i

**C. ** i

**D. ** 2i

**Answer : ****Option D**

**Explaination / Solution: **

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The matrix has three distinct eigenvalues and one of its eigenvectors is Which one of the following can be another eigenvector of A?

**A. **

**B. **

**C. **

**D. **

**Answer : ****Option C**

**Explaination / Solution: **

By the properties of Eigen values and Eigen vectors, another eigen vector of A is

By the properties of Eigen values and Eigen vectors, another eigen vector of A is

The eigen vectors corresponding to distinct eigen values of a real symmetric matrix are
orthogonal i.e., pair wise dot product is zero

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Consider the differential equation . There exists a
unique solution for this differential equation when t belongs to the interval

**A. ** (-2,2)

**B. ** (-10,10)

**C. ** (-10,2)

**D. ** (0,10)

**Answer : ****Option A**

**Explaination / Solution: **

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A function f(x) is defined as . Which one of the
following statements is TRUE?

**A. ** f(x) is NOT differentiable at x=1 for any values of a and b.

**B. ** f(x) is differentiable at x = 1 for the unique values of a and b

**C. ** f(x) is differentiable at x = 1 for all values of a and b such that a + b = e

**D. ** f(x) is differentiable at x = 1 for all values of a and b.

**Answer : ****Option A**

**Explaination / Solution: **

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Consider the line integral The line C is shown in the figure
below.

**A. ** (1/2)i

**B. ** (2/3)i

**C. ** (3/4)i

**D. ** (4/5)i

**Answer : ****Option B**

**Explaination / Solution: **

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The probability that a k-digit number does NOT contain the digits 0.5, or 9 is

**A. ** 0.3^{k}

**B. ** 0.6^{k}

**C. ** 0.7^{k}

**D. ** 0.9^{k}

**Answer : ****Option C**

**Explaination / Solution: **

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