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11TH GRADE PRACTICE

Physics Problems: Oscillations and waves, Grade 11

Mechanical, electromagnetic vibrations and wave connections.

30 problems3 subtopics
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CONDITIONS

Problems

30
12

Problem 12

Mechanical vibrations

Determine the period and frequency of a string pendulum of length 1m1\,\text{m}. How many oscillations will he make for 30s30\,\text{s}?

  1. (20s; 5Gts; 150kolebaniy)\left(20\,\text{s};\ 5\,\text{Gts};\ 150\,\text{kolebaniy}\right)
  2. (2s; 0,5Gts; 15kolebaniy)\left(2\,\text{s};\ 0{,}5\,\text{Gts};\ 15\,\text{kolebaniy}\right)
  3. (1s; 0,25Gts; 7,5kolebaniy)\left(1\,\text{s};\ 0{,}25\,\text{Gts};\ 7{,}5\,\text{kolebaniy}\right)
  4. (4s; 1Gts; 30kolebaniy)\left(4\,\text{s};\ 1\,\text{Gts};\ 30\,\text{kolebaniy}\right)
13

Problem 13

Mechanical vibrations

The weight of the spring pendulum is 40g40\,\text{g}, the spring stiffness is 20N/m20\,\text{N/m}. Determine the period, frequency and time of 2525 oscillations.

  1. (0,56s; 7,12Gts; 14s)\left(0{,}56\,\text{s};\ 7{,}12\,\text{Gts};\ 14\,\text{s}\right)
  2. (2,8s; 35,6Gts; 70s)\left(2{,}8\,\text{s};\ 35{,}6\,\text{Gts};\ 70\,\text{s}\right)
  3. (0,28s; 3,56Gts; 7s)\left(0{,}28\,\text{s};\ 3{,}56\,\text{Gts};\ 7\,\text{s}\right)
  4. (0,14s; 1,78Gts; 3,5s)\left(0{,}14\,\text{s};\ 1{,}78\,\text{Gts};\ 3{,}5\,\text{s}\right)
14

Problem 14

Mechanical vibrations

When a load weighing 800g800\,\text{g} was suspended from a spring, it stretched by 2cm2\,\text{cm}. Determine the frequency of vibration of the load.

  1. 1,78Gts1{,}78\,\text{Gts}
  2. 7,12Gts7{,}12\,\text{Gts}
  3. 35,6Gts35{,}6\,\text{Gts}
  4. 3,56Gts3{,}56\,\text{Gts}
15

Problem 15

Mechanical vibrations

For 5s5\,\text{s} the spring pendulum made 88 oscillations. Determine the mass of the load if the spring stiffness is 25N/m25\,\text{N/m}. Is there enough data to find the path in the first 0,1s0{,}1\,\text{s} at an amplitude of 10cm10\,\text{cm}?

  1. (0,25kg; dlya puti nuzhna nachalnaya faza)\left(0{,}25\,\text{kg};\ \text{dlya puti nuzhna nachalnaya faza}\right)
  2. (0,40kg; 0,10m)\left(0{,}40\,\text{kg};\ 0{,}10\,\text{m}\right)
  3. (0,25kg; 0,20m)\left(0{,}25\,\text{kg};\ 0{,}20\,\text{m}\right)
  4. (1kg; dlya puti dannykh dostatochno)\left(1\,\text{kg};\ \text{dlya puti dannykh dostatochno}\right)
16

Problem 16

Mechanical vibrations

A load of mass 2kg2\,\text{kg} oscillates on a spring of stiffness 50N/m50\,\text{N/m} with an amplitude of 5cm5\,\text{cm}. Determine possible coordinates in terms of 0,15s0{,}15\,\text{s} for two standard initial phases and the velocity at point x=2cmx=2\,\text{cm}.

  1. (0,365m; 0,341m; 2,3m/s)\left(0{,}365\,\text{m};\ 0{,}341\,\text{m};\ 2{,}3\,\text{m/s}\right)
  2. (0,0365m; 0,0341m; 0,23m/s)\left(0{,}0365\,\text{m};\ 0{,}0341\,\text{m};\ 0{,}23\,\text{m/s}\right)
  3. (0,01825m; 0,01705m; 0,115m/s)\left(0{,}01825\,\text{m};\ 0{,}01705\,\text{m};\ 0{,}115\,\text{m/s}\right)
  4. (0,073m; 0,0682m; 0,46m/s)\left(0{,}073\,\text{m};\ 0{,}0682\,\text{m};\ 0{,}46\,\text{m/s}\right)
17

Problem 17

Electromagnetic vibrations

A capacitor with a capacity of 125pF125\,\text{pF} is charged to 400V400\,\text{V} and is connected to a coil with an inductance of 20mH20\,\text{mH}. Determine the period, frequency and cyclic frequency, maximum charge and current, write down the dependences q(t)q(t), u(t)u(t) and i(t)i(t).

  1. (6,28107s; 6,4106Gts; 4107rad/s; 1107Kl; 2A)\left(6{,}28 \cdot 10^{-7}\,\text{s};\ 6{,}4 \cdot 10^{6}\,\text{Gts};\ 4 \cdot 10^{7}\,\text{rad/s};\ 1 \cdot 10^{-7}\,\text{Kl};\ 2\,\text{A}\right)
  2. (3,14106s; 3,2107Gts; 2108rad/s; 5107Kl; 10A)\left(3{,}14 \cdot 10^{-6}\,\text{s};\ 3{,}2 \cdot 10^{7}\,\text{Gts};\ 2 \cdot 10^{8}\,\text{rad/s};\ 5 \cdot 10^{-7}\,\text{Kl};\ 10\,\text{A}\right)
  3. (3,14107s; 3,2106Gts; 2107rad/s; 5108Kl; 1A)\left(3{,}14 \cdot 10^{-7}\,\text{s};\ 3{,}2 \cdot 10^{6}\,\text{Gts};\ 2 \cdot 10^{7}\,\text{rad/s};\ 5 \cdot 10^{-8}\,\text{Kl};\ 1\,\text{A}\right)
  4. (1,57107s; 1,6106Gts; 1107rad/s; 2,5108Kl; 0,5A)\left(1{,}57 \cdot 10^{-7}\,\text{s};\ 1{,}6 \cdot 10^{6}\,\text{Gts};\ 1 \cdot 10^{7}\,\text{rad/s};\ 2{,}5 \cdot 10^{-8}\,\text{Kl};\ 0{,}5\,\text{A}\right)
18

Problem 18

Electromagnetic vibrations

According to what law do the voltage in the lighting network and the current in the 500Ohm500\,\text{Ohm} resistor, connected to this 220V220\,\text{V}, 50Hz50\,\text{Hz} network change?

  1. (155,5V; 0,31A; 157rad/s)\left(155{,}5\,\text{V};\ 0{,}31\,\text{A};\ 157\,\text{rad/s}\right)
  2. (622V; 1,24A; 628rad/s)\left(622\,\text{V};\ 1{,}24\,\text{A};\ 628\,\text{rad/s}\right)
  3. (3110V; 6,2A; 3140rad/s)\left(3110\,\text{V};\ 6{,}2\,\text{A};\ 3140\,\text{rad/s}\right)
  4. (311V; 0,62A; 314rad/s)\left(311\,\text{V};\ 0{,}62\,\text{A};\ 314\,\text{rad/s}\right)
19

Problem 19

Electromagnetic vibrations

A 80uF80\,\text{uF} capacitor was connected to a 220V220\,\text{V}, 50Hz50\,\text{Hz} network. Determine the amplitude voltage and current, as well as the law of change of current. What inductance must be connected in series for resonance?

  1. (311V; 7,8A; 0,126Gn)\left(311\,\text{V};\ 7{,}8\,\text{A};\ 0{,}126\,\text{Gn}\right)
  2. (155,5V; 3,9A; 0,063Gn)\left(155{,}5\,\text{V};\ 3{,}9\,\text{A};\ 0{,}063\,\text{Gn}\right)
  3. (622V; 15,6A; 0,252Gn)\left(622\,\text{V};\ 15{,}6\,\text{A};\ 0{,}252\,\text{Gn}\right)
  4. (3110V; 78A; 1,26Gn)\left(3110\,\text{V};\ 78\,\text{A};\ 1{,}26\,\text{Gn}\right)
20

Problem 20

Electromagnetic vibrations

The capacitor was given a charge of 4104Cl4\cdot10^{-4}\,\text{Cl} and shorted to the coil. Capacitance 5uF5\,\text{uF}, inductance 32mH32\,\text{mH}. Determine the cyclic frequency, voltage and current amplitudes and the laws of their change.

  1. (25000rad/s; 800V; 10A)\left(25000\,\text{rad/s};\ 800\,\text{V};\ 10\,\text{A}\right)
  2. (2500rad/s; 80V; 1A)\left(2500\,\text{rad/s};\ 80\,\text{V};\ 1\,\text{A}\right)
  3. (1250rad/s; 40V; 0,5A)\left(1250\,\text{rad/s};\ 40\,\text{V};\ 0{,}5\,\text{A}\right)
  4. (5000rad/s; 160V; 2A)\left(5000\,\text{rad/s};\ 160\,\text{V};\ 2\,\text{A}\right)
21

Problem 21

Electromagnetic vibrations

In an oscillatory circuit, the frequency is 2105Hz2\cdot10^{5}\,\text{Hz}, the inductance is 1,5mH1{,}5\,\text{mH}, the current amplitude is 0,2A0{,}2\,\text{A}. Determine the capacitance and voltage amplitude.

  1. (8,41010F; 756V)\left(8{,}4 \cdot 10^{-10}\,\text{F};\ 756\,\text{V}\right)
  2. (4,2109F; 3780V)\left(4{,}2 \cdot 10^{-9}\,\text{F};\ 3780\,\text{V}\right)
  3. (4,21010F; 378V)\left(4{,}2 \cdot 10^{-10}\,\text{F};\ 378\,\text{V}\right)
  4. (2,11010F; 189V)\left(2{,}1 \cdot 10^{-10}\,\text{F};\ 189\,\text{V}\right)
22

Problem 22

Electromagnetic vibrations

A capacitor is connected to an alternating current circuit with a voltage of 24V24\,\text{V} and a frequency of 200Hz200\,\text{Hz}. What is its capacity if the current is 0,8A0{,}8\,\text{A}?

  1. 1,325105F1{,}325 \cdot 10^{-5}\,\text{F}
  2. 5,3105F5{,}3 \cdot 10^{-5}\,\text{F}
  3. 2,65104F2{,}65 \cdot 10^{-4}\,\text{F}
  4. 2,65105F2{,}65 \cdot 10^{-5}\,\text{F}
23

Problem 23

Electromagnetic vibrations

A steel conductor with a length of 10m10\,\text{m} and a cross-section of 0,6mm20{,}6\,\text{mm}^{2} is connected to an alternating current circuit with a voltage of 12V12\,\text{V} and a frequency of 400Hz400\,\text{Hz}. Determine the amplitudes of voltage and current and the law of their change.

  1. (17V; 8,5A; 2512rad/s)\left(17\,\text{V};\ 8{,}5\,\text{A};\ 2512\,\text{rad/s}\right)
  2. (8,5V; 4,25A; 1256rad/s)\left(8{,}5\,\text{V};\ 4{,}25\,\text{A};\ 1256\,\text{rad/s}\right)
  3. (34V; 17A; 5024rad/s)\left(34\,\text{V};\ 17\,\text{A};\ 5024\,\text{rad/s}\right)
  4. (170V; 85A; 25120rad/s)\left(170\,\text{V};\ 85\,\text{A};\ 25120\,\text{rad/s}\right)
24

Problem 24

Electromagnetic vibrations

An inductance coil 0,03H0{,}03\,\text{H} is connected to an alternating current circuit. What is the frequency if the voltage is 12V12\,\text{V} and the current is 5A5\,\text{A}?

  1. 127Gts127\,\text{Gts}
  2. 12,7Gts12{,}7\,\text{Gts}
  3. 6,35Gts6{,}35\,\text{Gts}
  4. 25,4Gts25{,}4\,\text{Gts}
25

Problem 25

Waves

For 5s5\,\text{s}, a mosquito's wings make 20002000 oscillations. Determine the frequency and period, as well as the length of the sound wave at a speed of 340m/s340\,\text{m/s}.

  1. (800Gts; 0,005s; 1,7m)\left(800\,\text{Gts};\ 0{,}005\,\text{s};\ 1{,}7\,\text{m}\right)
  2. (4000Gts; 0,025s; 8,5m)\left(4000\,\text{Gts};\ 0{,}025\,\text{s};\ 8{,}5\,\text{m}\right)
  3. (400Gts; 0,0025s; 0,85m)\left(400\,\text{Gts};\ 0{,}0025\,\text{s};\ 0{,}85\,\text{m}\right)
  4. (200Gts; 0,00125s; 0,425m)\left(200\,\text{Gts};\ 0{,}00125\,\text{s};\ 0{,}425\,\text{m}\right)
26

Problem 26

Waves

The period of oscillations in the wave is 0,16s0{,}16\,\text{s}, the wave speed is 3m/s3\,\text{m/s}. Determine the length, frequency and time of 2525 oscillations.

  1. (0,24m; 3,125Gts; 2s)\left(0{,}24\,\text{m};\ 3{,}125\,\text{Gts};\ 2\,\text{s}\right)
  2. (0,96m; 12,5Gts; 8s)\left(0{,}96\,\text{m};\ 12{,}5\,\text{Gts};\ 8\,\text{s}\right)
  3. (4,8m; 62,5Gts; 40s)\left(4{,}8\,\text{m};\ 62{,}5\,\text{Gts};\ 40\,\text{s}\right)
  4. (0,48m; 6,25Gts; 4s)\left(0{,}48\,\text{m};\ 6{,}25\,\text{Gts};\ 4\,\text{s}\right)
27

Problem 27

Waves

The observer saw lightning, and 50s50\,\text{s} later heard thunder. How long can a thunderstorm be expected if the wind speed is 20m/s20\,\text{m/s} and the speed of sound is 340m/s340\,\text{m/s}?

  1. (17000m; 850s)\left(17000\,\text{m};\ 850\,\text{s}\right)
  2. (8500m; 425s)\left(8500\,\text{m};\ 425\,\text{s}\right)
  3. (34000m; 1700s)\left(34000\,\text{m};\ 1700\,\text{s}\right)
  4. (1,7105m; 8500s)\left(1{,}7 \cdot 10^{5}\,\text{m};\ 8500\,\text{s}\right)
28

Problem 28

Waves

Two common mode generators operate at a frequency of 1,5MHz1{,}5\,\text{MHz}. What is the result of interference at a point for which the path difference is 650m650\,\text{m}?

  1. Δr=6,5λ, Arez=A\Delta r=6{,}5\lambda,\ A_{\text{rez}}=A
  2. Δr=3,25λ, Arez=2A\Delta r=3{,}25\lambda,\ A_{\text{rez}}=\sqrt2 A
  3. Δr=3λ, Arez=2A\Delta r=3\lambda,\ A_{\text{rez}}=2A
  4. Δr=3,5λ, Arez=0\Delta r=3{,}5\lambda,\ A_{\text{rez}}=0
29

Problem 29

Waves

The wavelength of the Krasnoyarsk radio station is 1,5km1{,}5\,\text{km}. What is the frequency and how many oscillations occur in 0,2ms0{,}2\,\text{ms}? What is the frequency of a sound wave with period 0,2ms0{,}2\,\text{ms}?

  1. (4105Gts; 80kolebaniy; 10000Gts)\left(4 \cdot 10^{5}\,\text{Gts};\ 80\,\text{kolebaniy};\ 10000\,\text{Gts}\right)
  2. (2106Gts; 400kolebaniy; 50000Gts)\left(2 \cdot 10^{6}\,\text{Gts};\ 400\,\text{kolebaniy};\ 50000\,\text{Gts}\right)
  3. (2105Gts; 40kolebaniy; 5000Gts)\left(2 \cdot 10^{5}\,\text{Gts};\ 40\,\text{kolebaniy};\ 5000\,\text{Gts}\right)
  4. (1105Gts; 20kolebaniy; 2500Gts)\left(1 \cdot 10^{5}\,\text{Gts};\ 20\,\text{kolebaniy};\ 2500\,\text{Gts}\right)
30

Problem 30

Waves

Distance to plane 15km15\,\text{km}. How long does it take for an electromagnetic pulse to travel to the plane and back?

  1. 5105s5 \cdot 10^{-5}\,\text{s}
  2. 2104s2 \cdot 10^{-4}\,\text{s}
  3. 0,001s0{,}001\,\text{s}
  4. 1104s1 \cdot 10^{-4}\,\text{s}
31

Problem 31

Waves

The radar operates at a wavelength of 6cm6\,\text{cm} and emits 12501250 pulses per second with a duration of 4μs4\,\text{μs}. How many oscillations does a pulse contain and what is the longest reconnaissance range?

  1. (20000kolebaniy; 1,2105m)\left(20000\,\text{kolebaniy};\ 1{,}2 \cdot 10^{5}\,\text{m}\right)
  2. (10000kolebaniy; 60000m)\left(10000\,\text{kolebaniy};\ 60000\,\text{m}\right)
  3. (40000kolebaniy; 2,4105m)\left(40000\,\text{kolebaniy};\ 2{,}4 \cdot 10^{5}\,\text{m}\right)
  4. (2105kolebaniy; 1,2106m)\left(2 \cdot 10^{5}\,\text{kolebaniy};\ 1{,}2 \cdot 10^{6}\,\text{m}\right)
32

Problem 32

Waves

What wavelength is the receiver tuned to if the oscillating circuit has a capacitance of 40pF40\,\text{pF} and an inductance of 22,5μH22{,}5\,\text{μH}?

  1. 565,2m565{,}2\,\text{m}
  2. 56,52m56{,}52\,\text{m}
  3. 28,26m28{,}26\,\text{m}
  4. 113,04m113{,}04\,\text{m}
33

Problem 33

Waves

The distance between the nodes of a standing electromagnetic wave is 12m12\,\text{m}. What are the wavelength and frequency?

  1. (48m; 2,5107Gts)\left(48\,\text{m};\ 2{,}5 \cdot 10^{7}\,\text{Gts}\right)
  2. (240m; 1,25108Gts)\left(240\,\text{m};\ 1{,}25 \cdot 10^{8}\,\text{Gts}\right)
  3. (24m; 1,25107Gts)\left(24\,\text{m};\ 1{,}25 \cdot 10^{7}\,\text{Gts}\right)
  4. (12m; 6,25106Gts)\left(12\,\text{m};\ 6{,}25 \cdot 10^{6}\,\text{Gts}\right)
34

Problem 34

Waves

For 20s20\,\text{s} the string makes 80008000 vibrations. How will a sound wave behave when it encounters an obstacle of size 2m2\,\text{m}?

  1. (40Gts; 8,5m; tolko ofrazhenie)\left(40\,\text{Gts};\ 8{,}5\,\text{m};\ \text{tolko ofrazhenie}\right)
  2. (8000Gts; 0,0425m; usefulnoe pogloshchenie)\left(8000\,\text{Gts};\ 0{,}0425\,\text{m};\ \text{usefulnoe pogloshchenie}\right)
  3. (200Gts; 1,7m; prelomlenie)\left(200\,\text{Gts};\ 1{,}7\,\text{m};\ \text{prelomlenie}\right)
  4. (400Gts; 0,85m; volna ogibaet prepyatstvie)\left(400\,\text{Gts};\ 0{,}85\,\text{m};\ \text{volna ogibaet prepyatstvie}\right)
35

Problem 35

Waves

Two common-mode electromagnetic wave generators operate at a frequency of 2,5108Hz2{,}5\cdot10^{8}\,\text{Hz}. What is the result of interference at a point with a path difference of 3m3\,\text{m}?

  1. Δr=5λ2, minimum\Delta r=5\dfrac{\lambda}{2},\ \text{minimum}
  2. Δr=5λ, maksimum\Delta r=5\lambda,\ \text{maksimum}
  3. Δr=2λ, maksimum\Delta r=2\lambda,\ \text{maksimum}
  4. Δr=3λ2, maksimum\Delta r=3\dfrac{\lambda}{2},\ \text{maksimum}
36

Problem 36

Waves

What maximum frequency should radar pulses follow when reconnaissance of targets up to 150km150\,\text{km}?

  1. 10000Gts10000\,\text{Gts}
  2. 1000Gts1000\,\text{Gts}
  3. 500Gts500\,\text{Gts}
  4. 2000Gts2000\,\text{Gts}
39

Problem 39

Waves

What is one light year equal to?

  1. 9,51015m9{,}5 \cdot 10^{15}\,\text{m}
  2. 4,751015m4{,}75 \cdot 10^{15}\,\text{m}
  3. 1,91016m1{,}9 \cdot 10^{16}\,\text{m}
  4. 9,51016m9{,}5 \cdot 10^{16}\,\text{m}
40

Problem 40

Waves

How long does light take from the Sun to Pluto if the distance is 40AU40\,\text{AU}?

  1. 55,6ch55{,}6\,\text{ch}
  2. 5,56ch5{,}56\,\text{ch}
  3. 2,78ch2{,}78\,\text{ch}
  4. 11,12ch11{,}12\,\text{ch}
50

Problem 50

Waves

How do the wavelength, frequency and speed of red light change when passing from air to glass with n=1,5n=1{,}5, if λair=8107m\lambda_{\text{air}}=8\cdot10^{-7}\,\text{m}?

  1. (2,665107m; 1,8751014Gts; 1108m/s)\left(2{,}665 \cdot 10^{-7}\,\text{m};\ 1{,}875 \cdot 10^{14}\,\text{Gts};\ 1 \cdot 10^{8}\,\text{m/s}\right)
  2. (1,066106m; 7,51014Gts; 4108m/s)\left(1{,}066 \cdot 10^{-6}\,\text{m};\ 7{,}5 \cdot 10^{14}\,\text{Gts};\ 4 \cdot 10^{8}\,\text{m/s}\right)
  3. (5,33106m; 3,751015Gts; 2109m/s)\left(5{,}33 \cdot 10^{-6}\,\text{m};\ 3{,}75 \cdot 10^{15}\,\text{Gts};\ 2 \cdot 10^{9}\,\text{m/s}\right)
  4. (5,33107m; 3,751014Gts; 2108m/s)\left(5{,}33 \cdot 10^{-7}\,\text{m};\ 3{,}75 \cdot 10^{14}\,\text{Gts};\ 2 \cdot 10^{8}\,\text{m/s}\right)
51

Problem 51

Waves

The wavelength of light in water is 450nm450\,\text{nm}. What is the frequency, wavelength in air and color of the rays? Take nwater=1,33n_{\text{water}}=1{,}33.

  1. (51014Gts; 600nm; oranzhevyy)\left(5\cdot10^{14}\,\text{Gts};\ 600\,\text{nm};\ \text{oranzhevyy}\right)
  2. (6,71014Gts; 450nm; siniy)\left(6{,}7\cdot10^{14}\,\text{Gts};\ 450\,\text{nm};\ \text{siniy}\right)
  3. (51014Gts; 338nm; ulfrafiolet)\left(5\cdot10^{14}\,\text{Gts};\ 338\,\text{nm};\ \text{ulfrafiolet}\right)
  4. (3108Gts; 600nm; krasnyy)\left(3\cdot10^{8}\,\text{Gts};\ 600\,\text{nm};\ \text{krasnyy}\right)
53

Problem 53

Waves

Determine the frequency of radiation with wavelength 1,5107m1{,}5\cdot10^{-7}\,\text{m}. What is the physical meaning of frequency?

  1. 41015Gts4 \cdot 10^{15}\,\text{Gts}
  2. 21016Gts2 \cdot 10^{16}\,\text{Gts}
  3. 21015Gts2 \cdot 10^{15}\,\text{Gts}
  4. 11015Gts1 \cdot 10^{15}\,\text{Gts}

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