Instrumentation Engineering (IN) 2007

1

2007 · Unclassified

Instrumentation Engineering (IN) 2007

Let \( A \) be an \( n \times n \) real matrix such that \( A^2 = I \) and \( y \) be an \( n \)-dimensional vector. Then the linear system of equations \( Ax = y \) has

A

no solution

B

a unique solution

C

more than one but finitely many independent solutions

D

infinitely many independent solutions

2

2007 · Unclassified

Instrumentation Engineering (IN) 2007

Let \( j = \sqrt{-1} \). Then one value of \( j^j \) is

A

\(\sqrt{j} \)

B

\(-1 \)

C

\(\pi / 2 \)

D

\(e^{-\pi / 2} \)

3

2007 · Unclassified

Instrumentation Engineering (IN) 2007

In full sunlight, a solar cell has a short circuit current of 75 mA and a current of 70 mA for a terminal voltage of 0.6 V with a given load. The Thevenin resistance of the solar cell is

A

8 Ω

B

8.6 Ω

C

120 Ω

D

240 Ω

4

2007 · Unclassified

Instrumentation Engineering (IN) 2007

The DC voltage gain \( \frac{V_o}{V_i} \) in the following circuit is given by

A

\(A_v \frac{R_2}{R_1 + R_2} \)

B

\(A_v \frac{R_1}{R_1 + R_2} \)

C

\(A_v \frac{R_2}{R_1 + R_2} + R_0 \)

D

\(A_v \)

5

2007 · Unclassified

Instrumentation Engineering (IN) 2007

Match the essential amplifier characteristics with the sensing applications given below:

A

P-L, Q-M, R-N

B

P-M, Q-N, R-L

C

P-N, Q-L, R-M

D

P-N, Q-M, R-L

6

2007 · Unclassified

Instrumentation Engineering (IN) 2007

The figure below shows various configurations of bonding a strain gauge to a cantilever subjected to a bending force F. Which configuration gives the maximum change in resistance for this force?

A

P

B

Q

C

R

D

All have equal change in resistance