{"id":6778,"date":"2024-08-11T18:32:07","date_gmt":"2024-08-11T18:32:07","guid":{"rendered":"https:\/\/physicsera.com\/?page_id=6778"},"modified":"2025-06-22T11:59:02","modified_gmt":"2025-06-22T11:59:02","slug":"chapter-11-xi","status":"publish","type":"page","link":"https:\/\/physicsera.com\/?page_id=6778","title":{"rendered":"Chapter 11-XI"},"content":{"rendered":"\t\t
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Chapter 11: Oscillation<\/span><\/h1>

Oscillation refers to the repeated back-and-forth movement of something between two positions or states. An oscillation can be a periodic motion that repeats itself in a regular cycle. The large amplitude oscillations in a system\u00a0produced by a small amplitude driving\u00a0force\u00a0, which has a frequency equal to the natural frequency is called resonance<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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\"Untitled<\/div>

Imran Hashmi<\/h3>
Associate professor<\/div><\/div>\n <\/div>\n <\/div>\n \t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
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Chapter Content:<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
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\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\tChapter Notes<\/a>\n\t\t\t\t\t<\/h6>\n\t\t\t\t\t
Chapter notes:<\/span><\/h6>UNIT-11 -oscillation-no<\/a><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t
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Chapter numerical<\/span><\/h6>
chapter-11- Oscillation-num<\/a><\/h6><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t
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Chapter multiple choice questions:<\/span><\/h6>Chapter-11-MCQs-oscillations<\/a><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t
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\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\tTest your knowledge<\/a>\n\t\t\t\t\t<\/h6>\n\t\t\t\t\t
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ASSIGMENT UNIT-11 OSCILLATIONS.<\/span><\/h2>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
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PERIOD ,\u00a0 FREQUENCY,\u00a0 \u00a0DISPLACEMENT AND VELOCITY<\/span><\/h4>

1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 The processor of a certain computer operates at 3.70 GHz, How much time is required for one processing\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 cycle?\u00a0 \u00a0[\u00a0 2.7 \u00a0x 10 -10<\/sup> s\u00a0 ]<\/strong><\/span><\/p>

2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Two baseball players warm up with a game of catch. If it takes 6.6 s for the ball to go from one player to the\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 other and then back to the first, what is the frequency of the ball\u2019s motion? \u00a0 \u00a0<\/span>\u00a0 \u00a0 \u00a0 \u00a0[\u00a0\u00a0 0.15 Hz ]<\/strong> <\/span><\/p>

3\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 When dragonflies hover, they tend to \u201cbob\u201d up and down with a motion that is an excellent approximation to\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 simple harmonic motion. Suppose that a dragonfly is at x = A at time t = 0, and that its bobbing motion has an\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 amplitude of A = 0.40 cm and a period of T = 0.24 s. Find (a) the position at the time t = 0.10 s\u00a0 \u00a0<\/span><\/p>

\u00a0[ first find \u03c9 t\u00a0, Then, using the formula\u00a0 x = A cos \u03c9t \u00a0 ]\u00a0 \u00a0 \u00a0Ans\u00a0 [\u00a0\u00a0 -0.34 cm ]\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 <\/strong><\/span><\/span>\"\"<\/span><\/p>

4\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 A piece of paper completes 50 vibrations in 5 s \u00a0when some waves pass through the surface of water. Find the\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0time period and the frequency of the piece of paper. If the wavelength of the wave is 10cm, find the velocity of\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0the waves<\/span>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0[T = 0.1s ,\u00a0\u00a0\u00a0 10 Hz,\u00a0\u00a0 1.0 m ]<\/span><\/span><\/p>

5\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 A body vibrates with a time period of 1\/256 s,\u00a0 \u00a0producing waves which travel with a velocity of 350 cm\/s.\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Calculate the wavelength of emitted wave.\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 [ \u03bb = 896 m]<\/span>\u00a0<\/strong><\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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SPRING - MASS SYSTEM<\/h1>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
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1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 When a family of four with a total mass of 200 kg steps into their 1200-kg car, the car\u2019s springs compress 3.0\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 cm. \u00a0What is the spring constant of the car\u2019s springs\u00a0<\/span>[\u00a0\u00a0 6.5 X 104<\/sup> \u00a0N \/m ]<\/span><\/span><\/p>

2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 A horizontal spring with a force constant of 11 N\/ m is connected to an air-track cart. When the cart is set in\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 motion, the spring causes it to oscillate back and forth with a period of 1.2 s. What is the mass of the cart?<\/span><\/p>

\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 [ 0.4 Kg ]<\/span><\/p>

3\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 When \u00a0m1<\/sub> = 0.420-kg mass air-track cart is attached to a horizontal spring, it oscillates with a period of 0.350 s.\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 If, instead, a different cart with mass m<\/em>2<\/sub> is attached to the same spring, it oscillates with a period of 0.700 s.\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Find (a) <\/strong>the force constant of the spring and (b) <\/strong>the mass m<\/em>2<\/sub>. [ 135 N\/m,\u00a0 \u00a0 1.86 kg\u00a0 ]<\/span><\/p>

4\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 A common technique used to measure a spring constant is illustrated in Figure 13.2. A spring is hung vertically\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0(Fig. a), and an object of mass m <\/em>is attached to the lower end of the spring and\u00a0slowly lowered a distance d <\/em>to\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0the equilibrium point (Fig. b). Find the value of the spring\u00a0 \u00a0constant if the spring is displaced by 2.00 cm and\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0the mass is 0.550 kg.\u00a0 [ 2.7 x 102<\/sup> N\/m\u00a0 \u00a0 \u00a0Hint\u00a0 Fg<\/sub> + Fs<\/sub> = 0\u00a0 \u21d2\u00a0 -mg + kd = 0\u00a0 \u21d2 k\u00a0 = mg\/d ]<\/span><\/p>

\"\"<\/p>

5.\u00a0\u00a0\u00a0\u00a0\u00a0 The period of vibration of a body of mass 25 g attached to a spring., Vibrates on a smooth horizontal surface.\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0When it is displaced 10 cm ot the right of its extreme position, the period of vibration is 1.57 seconds and the\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0velocity at the end of this displacement is 0.4 m\/s. determine the (a) spring constant, (b) total energy\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0(c)\u00a0 amplitude of the vibration. [ 0.4 N\/m,\u00a0 \u00a0 \u00a0 4 x 10-3<\/sup> J.\u00a0 ,\u00a0 \u00a0 \u00a0 \u00a0 \u00a00.1414 m\u00a0 ]<\/span><\/p>

6.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 A body hanging from a spring is set into motion and the period of oscillation is to be 0.8 s. After the body has\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0come to rest, it is removed. How much shorter will the spring be when it comes to rest? [ x = 6.2 cm ]\u00a0<\/span><\/p>

7.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 A mass at the end of a spring oscillates with simple harmonic motion with a period of 0.40 s; find the\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0acceleration when the displacement is 4.0 cm.\u00a0 \u00a0[\u00a0 a = -9.87 m\/s2<\/sup> ]<\/span><\/p>

8.\u00a0\u00a0\u00a0\u00a0\u00a0 A body of mass 32 g attached to an elastic spring is performing SHM. Its velocity is 0.4 m\/s when the\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0displacement is 8 cm to the right. If the spring constant is 0.4 N\/m. Calculate (i) total energy (ii) the amplitude of\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0its motion [ 3.84 x 10-3<\/sup>\u00a0J,\u00a0 \u00a0 \u00a0x0<\/sub> = 0.1385 m\u00a0 ]<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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SIMPLE PENDULUM<\/h1>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
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1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Calculate the length of the Second\u2019s pendulum at a\u00a0 place where g = 9.8 m\/s2<\/sup>\u00a0 \u00a0[\u00a0 0.99 m\u00a0 ]<\/span><\/p>

2\u00a0 \u00a0 \u00a0 \u00a0 \u00a0Compute the acceleration due to gravity on the surface of the moon where a simple pendulum 1.5 m long\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0makes 100 vibrations in 605 seconds [ gm<\/sub> = 1.617 m\/s2<\/sup> ]<\/span><\/p>

3\u00a0 \u00a0 \u00a0 \u00a0 \u00a0Find the length of the second\u2019s pendulum on the planet Jupiter, where the value of \u2018g\u2019 is 2.63 times that of the\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u2018g\u2019 on the surface of Earth. [ L\u00a0 = 0.226 m ]<\/span><\/p>

4\u00a0 \u00a0 \u00a0 \u00a0 \u00a0A simple pendulum completes 4 vibrations in 8 seconds on the surface of the Earth. Find the period on the\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0surface of the moon where the acceleration due to gravity is one-sixth that of Earth. [ 4.9 seconds ]<\/span><\/p>

5\u00a0 \u00a0 \u00a0 \u00a0 \u00a0Calculate the length of a simple pendulum whose frequency of vibration f = 0.5 vib\/sec.\u00a0 \u00a0 \u00a0<\/span>[0.993m]<\/span><\/p>

6\u00a0 \u00a0 \u00a0 \u00a0 \u00a0The pendulum on a cuckoo clock is 5.0 cm long. What is its frequency? [ g = 9.8 m\/s2<\/sup>\u00a0 \u00a0 Ans\u00a0 f = 2.28 Hz ]<\/span><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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\n\t\t\t\t\t\n\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\tDownload Assignment<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"

New Popular Chapter 11: Oscillation Oscillation refers to the repeated back-and-forth movement of something between two positions or states. An oscillation can be a periodic motion that repeats itself in a regular cycle. The large amplitude oscillations in a system\u00a0produced by a small amplitude driving\u00a0force\u00a0, which has a frequency equal to the natural frequency is […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"inline_featured_image":false,"footnotes":""},"class_list":["post-6778","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/physicsera.com\/index.php?rest_route=\/wp\/v2\/pages\/6778","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/physicsera.com\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/physicsera.com\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/physicsera.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/physicsera.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=6778"}],"version-history":[{"count":0,"href":"https:\/\/physicsera.com\/index.php?rest_route=\/wp\/v2\/pages\/6778\/revisions"}],"wp:attachment":[{"href":"https:\/\/physicsera.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6778"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}