Exercise 2.3 B

DifficultySecondary SchoolHigh school/other
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Specify the index of refraction of glass with the critical angle of the total internal reflection.

Answer: 1,48

Exercise 2.3 C

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Specify the index of refraction of glass.

Answer: 1,5

Exercise 2.3 D

DifficultySecondary SchoolHigh school/other
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Define the index of refraction of glass.

Answer: 1,5

Exercise 2.4 A

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In the video, the light of the laser hits the diffraction grating. How many slits per millimeter can the diffraction grating contain.

Answer: 480 – 520 pieces ($500\pm20$ gap/mm)

Exercise 2.5 A

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Determine the length of the spring when there isn’t any mass suspended from it.

Answer: 20 cm

Exercise 2.5 B

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Define the mass of an unknown object.

Answer: 280 g

Exercise 2.5 C

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Determine the value of acceleration due to gravity g with different lengths of a pendulum.

Tip 1: The oscillation time of a simple gravity pendulum is $T=2\pi\sqrt{\frac{l}{g}}$
Tip 2: Move the information to $(T^2,l)$ –coordinate system.
Answer: $9{,}9\ \frac{m}{s^2}$

Exercise 2.5 D

DifficultySecondary SchoolHigh school/other
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Determine the position of the spring’s head as a function of time.

Tip: The waveform equation is a form $y=Asin(2\pi ft)$
Answer: $y=0,315\ m+0,05\ m\cdot\sin{\left(\frac{2\pi}{0,712\ s}\cdot\left(t-60{,}462\ s\right)\right)}$, where $t\geq60{,}462\ s$

Exercise 2.6 A

DifficultySecondary SchoolHigh school/other
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Determine the speed of the sound. (Note: Video contains audio).

Answer: $320\ \frac{m}{s}$

Exercise 2.7 A

DifficultySecondary SchoolHigh school/other
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Determine the damping ratio (constant that describes the strength of the damping force), damping factor, natural frequency, angular frequency of the harmonic oscillator, and the frequency and angular frequency of the damped oscillator.

Answer: Harmonic oscillator
Damping ratio C=1,01
Damping factor δ=0,012592215 rad/s
Natural frequency $f_{0}$=1,146187397Hz
Natural angular frequency $ω_{0}$=7,20170781 rad/s

Damped oscillator
Frequency $f_{1}$=1,146185644Hz
Angular frequency $ω_{1}$=7,201696801 rad/s