Practice exam 1
Fundamentals of Physics · DLBWINGP01_E 5018
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Practice exam 1
Which of the following waves is electromagnetic?
Which of the following scenarios applies to Newton's axiom I?
In which of the following system cases does resonance represent the greatest danger?
Which among the following aberrations does not exhibit geometric imperfections?
In a double polarizing filter, the polarizer is inclined by 20 degrees counterclockwise. What should be the analyzer's inclination to allow two-thirds of light intensity to be transmitted?
A wave whose amplitude equals its wavelength propagates at . What is its maximum transverse velocity?
The critical frequency ratio of a damped system is . By which percentage does the maximum steady-state amplitude exceed the amplitude at resonance?
A spring-mass system (, ) is subjected to a harmonic excitation . Determine, showing all details, the steady-state response of the system.
Model solution
Natural frequency: .1 pt
Frequency ratio: . The system is undamped, so .0.5 pt
Static amplitude: , and .1 pt
Dynamic amplitude: . The minus sign means for a positive amplitude.2 pt
Steady-state response: .0.5 pt
Answer:
A white squared box is seen from its side view (figure with cases a-d in the source). Each case may reflect one or a combination of optical aberrations. Associate for each case the probable optical aberration(s).
Model solution
(a) Transverse chromatic aberration.2 pt
(b) Transverse chromatic aberration and coma.2 pt
(c) Lateral chromatic aberration (with or without astigmatism).2 pt
(d) Transverse chromatic aberration and barrel image distortion.2 pt
Answer:a: transverse chromatic; b: transverse chromatic + coma; c: lateral chromatic (+/- astigmatism); d: transverse chromatic + barrel distortion
A slender bar of length and rectangular cross section is subjected to an axial force, such that its final length becomes . The material has and . Determine the applied force and the maximum shear strain developed in the bar.
Model solution
Axial strain: .1 pt
Hooke's law gives the normal stress at the cross section: .1.5 pt
Applied force: .1 pt
Shear stress is maximum where its derivative vanishes: .3 pt
Hence .2 pt
Hooke's law in shear: .1.5 pt
Answer:,
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