List of practice Questions

The dutch roll mode of the aircraft can be excited by applying

If the inverse Laplace transform of \( e^{-s} \cot^{-1}s \) is \( f(t) \), then \( f\left( \frac{3\pi}{2} \right) = \)

The general solution of \[ \frac{dy}{dx} = \frac{1}{3x + 5y} \] is

The iterative formula to find the root of \( \sqrt[3]{x^2} = 2 \) using Newton-Raphson method is \( x_{n+1} = \)

Match the instruments with the parameters they measure:

List-1	Instrument	List-2 (Parameter)
A	Autocollimeter	\( \text{Angular error} \)
B	Hygrometer	\( \text{Humidity} \)
C	Nephelometer	\( \text{Density} \)
D	Mass spectrometer	\( \text{Molecular weight} \)

A standard three-lead frontal plane ECG is taken from a person with a normal heart. The peak amplitude of R wave is

The treadmill test is used to diagnose

In an electromagnetic blood flow meter, the induced voltage is directly proportional to the

The Geiger counter has high quantum efficiency in the wavelength range of

A psychrometric chart is used to determine

IR spectroscopy

Gas chromatography is used for

Korotkoff sounds are used

In the standard 12-lead ECG recording system, the minimum number of electrodes required to be attached to the human subject for recording any one of the unipolar chest lead signals is

The breakaway point of the root locus on the real axis for a closed loop system with a loop gain \( G(s) = \frac{K(s+10)}{(s+2)(s+5)} \) is:

The phase margin of the system for which the loop gain \( GH(j\omega) = \frac{A_1}{(j\omega + 1)^3} \) is:

An optical fiber is characterized by

A step index optical fiber whose refractive indices of the core and cladding are 1.44 and 1.40 respectively, is surrounded by air. Its numerical aperture is

An optical fiber has a refractive index of 1.641 for the core and 1.422 for the cladding.
The critical angle above which a ray will be totally internally reflected is

The coherence length of the He-Ne laser beam is 120 cm. Its coherence time in seconds is:

Collimated light beams from a He-Ne laser and a sodium vapor lamp are focused using a lens.
The size of the spot at the focal point due to the laser is relatively smaller because

The transfer function between \( y_2 \) and \( y_1 \) in the figure shown is:

transfer function between y2 and y1

A temperature control system is usually very sluggish. To improve its dynamics:

A first order system with a proportional controller exhibits an offset to step input. The offset can be reduced by:

An integral controller is used to: