WorksheetsGroup 2
Total questions: 36
Worksheet time: 6mins
What is the "powerhouse" of the cell?
Nucleus
Ribosome
Mitochondrion
Lysosome
What is the function of ribosomes?
Energy production
Protein synthesis
DNA replication
Waste disposal
Which phase of the cell cycle involves DNA replication?
G1 phase
S phase
G2 phase
M phase
What is the integral of e^x?
e^(-x)
xe^(x-1)
e^x + C
ln(x)
What is the chain rule for derivatives?
f'(g'(x))
f'(g(x)) * g'(x)
f(g'(x))
f(x) * g(x)
What is the limit of (sin(x)/x) as x approaches 0?
0
1
Infinity
Undefined
What is the unit of electric charge?
Ampere
Volt
Coulomb
Ohm
What is the direction of the magnetic force on a moving charge?
Parallel to velocity
Parallel to magnetic field
Perpendicular to both
Opposite to velocity
Why do magnetic resonance imaging (MRI) scans require strong magnetic fields?
To heat tissues
To align hydrogen nuclei
To generate sound waves
To create X-rays
What is an eigenvector?
Solution to Ax=b
Vector multiplied by a scalar
Matrix inverse
Matrix determinant
What is the dot product of orthogonal vectors?
1
0
-1
Infinity
Which condition of a square matrix guarantees it is invertible?
Zero determinant
Nonzero determinant
Symmetry
Having zero eigenvalues
What is the primary characteristic of ceramics?
High ductility
High conductivity
High hardness
High flexibility
What makes polymers different from metals?
High melting point
Long chain molecules
High hardness
High density
Which mechanism primarily controls plastic deformation in metals?
Grain boundary sliding
Dislocation motion
Atomic diffusion
Twinning
Which of the followings is a scalar quantity?
Velocity
Force
Speed
Acceleration
What is the net force on an object in static equilibrium?
Zero
Its weight
A balanced nonzero force
Maximum applied force
What is the moment of inertia of a point mass m located r units from the axis?
m × r
½ m r²
m r²
m² r
What is the purpose of curve fitting?
Finding roots
Approximating data with a function
Calculating derivatives
Solving differential equations
Which method solves systems of linear equations?
Bisection method
Runge-Kutta
Gaussian elimination
Newton's method
What does the bisection method find?
Integrals
Derivatives
Roots of equations
Matrix eigenvalues
What is the speed of light in a vacuum?
3 x 10^5 m/s
3 x 10^8 m/s
3 x 10^10 m/s
3 x 10^12 m/s
What is the definition of frequency?
Wavelength * speed
Speed / wavelength
Wavelength / speed
Speed * wavelength
What is the definition of momentum?
Force x time
Mass x velocity
Force / time
Velocity / mass
What does the term "signal-to-noise ratio (SNR)"?
Noise strength compared to distortion
Ratio of signal power to noise power
Signal's phase information
Ratio of noise to original signal
What is the key advantage of sampling a signal above the Nyquist rate?
Reduced noise
No aliasing occurs
Increased data compression
Improved bandwidth
Which filter allows frequencies below a cutoff while attenuating higher frequencies?
High-pass filter
Band-pass filter
Low-pass filter
Notch filter
What is the purpose of ANOVA?
Compare means of more than two groups
Compare variances
Measure correlation
Find data mode
What does a p-value indicate in hypothesis testing?
Probability of guessing a true value
Sample variability
Confidence level
Strength of evidence against the null hypothesis
Which distribution is bell-shaped and symmetrical?
Poisson distribution
Normal distribution
Binomial distribution
Exponential distribution
According to the second law, the total entropy of an isolated system can:
Only decrease
Remain constant or increase
Only increase
Fluctuate randomly
Enthalpy (H) is defined as:
H = U – PV
H = U + PV
H = Q + W
H = U/V
What is the unit of entropy?
Joule
Watt
J/K
Pascal
What is the pH value of a 0.1 M solution of HCl?
1
0.1
0.01
10
Which bond type is most common in organic molecules?
Ionic
Covalent
Metallic
Hydrogen
What is the process of breaking down large molecules, like polymers, by water?
Dehydration
Hydrolysis
Oxidation
Reduction
