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- 20 questions carry one mark each
- 40 questions carry two marks each
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Instrumentation Engineering (IN) 2009
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If z = x + jy, where x and y are real, the value of |ez| is
The value of ∮ (sin z / z) dz, where the contour of integration is a simple closed curve around the origin, is
Let P ≠ 0 be a 3×3 real matrix. There exist linearly independent vectors x and y such that Px = 0 and Py = 0. The dimension of the range space of P is
A sphere of unit radius is centered at the origin. The unit normal at a point (x, y, z) on the surface of the sphere is the vector
An LVDT is supplied with a sinusoidal voltage of amplitude 5 V and frequency 1 kHz. The output is connected to an ac voltmeter. The reading of the voltmeter is 1 V for a displacement of 1 mm from the null position. When the displacement is 1 mm in the opposite direction from the null position, the reading of the voltmeter is
The circuit shown in the figure is
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