Biomedical Engineering Gate 2021 Questions with Answer
Ques 27 GATE 2021
In the circuit shown below, R1 = 2 Ω, R2 = 1 Ω, L1 = 2 H, and L2 = 0.5 H. Which of the following describe(s) the characteristics of the circuit?
Ques 28 GATE 2021
In the circuit given below, Vs = 50 V. Let the circuit reach steady state for the SPDT switch at position 1. Once the circuit is switched to position 2, the energy dissipated in the resistors is _______ J. (rounded off to one decimal place)
Ques 29 GATE 2021
In the circuit shown below, the output voltage VOUT is _______ V.
Ques 30 GATE 2021
Two identical cube shaped dice each with faces numbered 1 to 6 are rolled simultaneously. The probability that an even number is rolled out on each dice is
Ques 31 GATE 2021
and are two operators on numbers p and q such that
p⊙q=p−q, and p⊕q=p×q. Then, (9⊙(6⊕7))⊙(7⊕(6⊙5))=
Ques 32 GATE 2021
Four persons P, Q, R and S are to be seated in a row. R should not be seated at the second position from the left end of the row. The number of distinct seating arrangements possible is
Ques 33 GATE 2021
In the figure shown above, PQRS is a square. The shaded portion is formed by the intersection of sectors of circles with radius equal to the side of the square and centers at S and Q. The probability that any point picked randomly within the square falls in the shaded area is _______.
Ques 34 GATE 2021
In an equilateral triangle PQR, side PQ is divided into four equal parts, side QR is divided into six equal parts and side PR is divided into eight equal parts. The length of each subdivided part in cm is an integer.
The minimum area of the triangle PQR possible, in cm², is
Ques 35 GATE 2021
For fX(x) = (1/π)(q/(ex+e⁻x)) to be a valid probability distribution function of a random variable X, the value of q is _______.
Ques 36 GATE 2021
Given a scalar function V(x,y) = (1/2)(x²+y²), the directional derivative of V in the direction of the vector field 3yi-3xj at the point (1, 1) is _______. (Note: i and j are the unit vectors along the x and y directions, respectively.)
Ques 37 GATE 2021
The minimum value, fmin, of the function given below is _______ (rounded off to the nearest integer).
f(x1,x2,x3) = (1/2)(x1²+x2²+x3²)-2(x1+x2+x3)
Ques 38 GATE 2021
The Trace and Determinant of a 2 × 2 nonsingular matrix A are 12 and 32, respectively. The eigen values of A⁻¹ are _______ and _______.
Ques 39 GATE 2021
Consider the following first order partial differential equation, also known as the transport equation
∂y(x,t)/∂t + 5∂y(x,t)/∂x = 0
with initial conditions given by y(x,0) = sin x, -∞ < x < ∞. The value of y(x,t) at x = π and t = π/6 is _______.
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