List of practice Questions

An RF pulse is applied to acquire an axial MR image at the isocenter of a 1.5T MRI scanner with slice thickness of 2.5 mm. Assuming a gradient field strength of 2 Gauss/cm is applied and Gyromagnetic ratio of protons is 42.58 MHz/T, the RF pulse bandwidth required for slice selection is \(\underline{\hspace{2cm}}\) kHz.
The closed-loop characteristic equation of a system is given by \[ s^4 + 2s^3 + 8s^2 + 8s + 16 = 0 \] The frequency of oscillations of this closed-loop system at steady state is \(\underline{\hspace{2cm}}\) rad/s.
An analog signal is sampled at 100 MHz to generate 1024 samples. Only these samples are used to evaluate 1024-point FFT. The separation between adjacent frequency points (\( \Delta F \)) in FFT is \(\underline{\hspace{2cm}}\) kHz.
The Trace and Determinant of a 2 × 2 nonsingular matrix A are 12 and 32, respectively. The eigen values of \(A^{-1}\) are \(\underline{\hspace{2cm}}\) and \(\underline{\hspace{2cm}}\)
Consider the following first-order partial differential equation, also known as the transport equation \[ \frac{\partial y(x,t)}{\partial t} + 5 \frac{\partial y(x,t)}{\partial x} = 0 \] with initial conditions given by \( y(x, 0) = \sin x, -\infty < x < \infty \). The value of \( y(x,t) \) at \( x = \pi \) and \( t = \frac{\pi}{6} \) is
Consider a type 2, unity feedback system. The intersection of the initial -40 dB/dec segment of its Bode plot with the zero dB line occurs at a frequency of 2 rad/s. The acceleration error constant of the system \(K_a\) is \(\underline{\hspace{2cm}}\).
The radioactivity of a radionuclide with decay constant \(3.22 \times 10^{-5}\) s\(^{-1}\) is 6 mCi at 10:30 AM. The radioactivity at 4:30 PM the same day will be \(\underline{\hspace{2cm}}\) mCi. (rounded off to two decimal places)
A polymeric scaffold has an initial weight of 20 mg. After 7 days in a lysozyme solution, its weight is reduced to 18 mg. The degradation of the polymeric scaffold after 7 days is \(\underline{\hspace{2cm}}\)%.
While comparing parallel fiber and pinnate muscles of a given volume, which of the following statements are TRUE?
Which of the following may cause failure of bone implants?
The minimum value, \(f_{\text{min}}\), of the function given below is: \[ f(x_1, x_2, x_3) = \frac{1}{2} (x_1^2 + x_2^2 + x_3^2) - 2(x_1 + x_2 + x_3) \] (round off to the nearest integer).
If we consider blood as a suspension of RBCs in a Newtonian fluid, the shear forces experienced by the RBCs during blood flow would
As shown in the figure, the water contact angles of surfaces A and B are $\theta_A$ and $\theta_B$, respectively. Based on the figure, which of the following statements given below is TRUE?
\includegraphics[width=0.5\linewidth]{image16.png}
Which of the following is a bone resorbing cell?
Which of the following statements are CORRECT in the context of planar X-ray imaging?
Which of the following is a cranial bone in the human body?
Which of the following glands produces the thyroid stimulating hormone (TSH)?
Which of the following causes Myocardial Infarction (MI)?
For a linear stable second order system, if the unit step response is such that the peak time is twice the rise time, the system is \(\underline{\hspace{2cm}}\).
Which of the following displacement sensors is known to have high sensitivity and a relatively larger measurement range?
Which of the following temperature sensors is used in contact-type digital thermometers for measuring body temperature?
The pH of blood in a healthy human is precisely in the range of \(\underline{\hspace{2cm}}\).
For \[ f_X(x) = \frac{1}{\pi} \left(\frac{q}{e^x + e^{-x}}\right) \] to be a valid probability distribution function of a random variable X, the value of q is
Find the sum of the following series (with infinite terms):
\(2\sqrt2, \frac4{\sqrt3}, \frac{4\sqrt2}{3}, .....\)
The minimum value of \(\frac{3(6+x)(x+12)}{2(4+x)}\) where x>-4 is