Biomedical Engineering GATE 2023 Questions with Answer

Ques 40 Engineering Mathematics

Which one of the following vectors is an eigenvector corresponding to the eigenvalue =1 for the matrix A?

Ques 41 Engineering Mathematics

For the function f(x,y)=e^xcos(y), what is the value of ∂^2f/∂x∂y at (x=0, y=π/2)?

Ques 42 Engineering Mathematics

M, L and T correspond to dimensions representing mass, length and time, respectively. What is the dimension of viscosity?

Ques 43 Engineering Mathematics

The time-dependent growth of a bacterial population is governed by the equation
dx/dt=x(1-(x/200)),
where x is the population size at time t. The initial population size is x₀=100 at t=0. As t→∞, the population size of bacteria asymptotically approaches _______.

Ques 44 Engineering Mathematics

The function f(Z)=1/(z-1) of a complex variable Z is integrated on a closed contour in an anti-clockwise direction. For which of the following contours, does this integral have a non-zero value?

Ques 45 Engineering Mathematics

For the function f(x)=x⁴-x², which of the following statements is/are TRUE?

Ques 46 Engineering Mathematics

Calculate the reciprocal of the coefficient of z³ in the Taylor series expansion of the function f(z)=sin(z) around z=0. (Provide the answer as an integer.)

Ques 47 Engineering Mechanics

For a tissue with Young's modulus of 3.6 kPa and Poisson's ratio of 0.2, what is the value of its shear modulus (in kPa)? (Round off the answer to one decimal place.)

Ques 48 Engineering Physics

A circular disc of radius R (in cm) has a uniform absorption coefficient of 1 cm⁻¹. Consider a single ray passing through the disc in the plane of the disc. The shortest distance from the center of the disc to the ray is t (in cm). If I_i is the intensity of the incident ray and I₀ is the intensity of the transmitted ray, then log(I_i/I₀) is given by

Ques 49 Engineering Physics

A stone is thrown from an elevation of 2 m above ground level, at an angle of 30° to the horizontal axis. If the stone hits the ground at a horizontal distance of 6 m from the point of release, at what speed (in m/s) was the stone thrown? Use g=10 m/s² and assume that there is no air resistance. (Round off your answer to one decimal place.)

Ques 50 General Aptitude

"I cannot support this proposal. My _______ will not permit it."

Ques 51 General Aptitude

Courts: Judiciary:: Parliament: _______
(By word meaning)

Ques 52 General Aptitude

What is the smallest number with distinct digits whose digits add up to 45?