Physics-
General
Easy
Question
The displacement of a particle performing simple harmonic motion is given by,
where distance is in cm and time is in second. The amplitude of motion is
The correct answer is: ![10 blank c m](data:image/png;base64,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)
A harmonic oscillation of constant amplitude and of single frequency is called simple harmonic oscillation.
Here, ![x equals 8 sin invisible function application omega t plus 6 cos invisible function application omega t](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJwAAAANCAYAAABcggerAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAA1RJREFUeNrtWF1kHFEUHiNGRJSKqFW1RFVFRFmxVlQteahasUpURB4qVFVU9KX61IcqVRVVfanKQ0WEWquqqlTFqj4sqyJqVVkVEfsQqlbEGmV7Lt9wHXd+dszRbuzhs+7Mndl7v/nO37Wsf2dDhGeEQ0Kb8IFwOsZ7OtbxtCnCa0IL/LwlXLL6FtvWCA8JAwSH8IhQ7RHBnSV8EXz/DQjsHMYnCAuEzz32jaV56srabGwT3B4h8iphQ8gxxgm1YxJUAnlaQpTh9gD3kjaVSoeZ4PbYnDHCFuEIH6wT4UN64zlCA8KuEM74rENFklzAOmcIJW18X1uLwt2EBfeCMB9x7jT2pva4S1hk9wuEOhxZ/c4a3hGFYzGevhJOaePrhOchJIbBz1T9dlsbq808YXNqPiSFCU6J7TEhre2jYng2g9pRt6eEvDYeJPxkc1RtVRSKcN8JqQjzLhAOsA4b6VePJlk43ATGExjnYnAsxtNlwqqm2E+C4XYSnudCDE3CRTZHed3JGILLR0zXLw1k77D/dFC4c1GkhQTXhnjK2L8LUSyweSXmsJbhfsEQ8d7E4FiUp4/ohrYJI0JiS8MbU1io50UNCNGzIorO+S4FF2WeEuEvNC2eDSDV8276N3vuKKLA4kT/DjLNFazHRur8QbilzWuhmfCzlsZtkCjCOJbmyVqBV00Kklr2eX8e9YRuw/Cwuta1JSG4jOG/soZrORbpsz7pOakI1/I5HlIpdL+L9/ndN0X6II5FeZpGKF7tonBNokONcu8ePD8pwSnP3mTXlg3XVrQywwIvrwQF9x7RIUwsBwlFuDCOxXgaQycyBMXXBFNqHWc0piOBZkBodxMUnEpZ79jH+MbOumxcO8+K5WVBwam0ec1wXa2hyuqqsBpu1iCecsAzJo5FeBqFZ42wAnNd8HymjhRqA3nUcDcDjm22EhScg2OYDCJFCf+9h7UMwkN5O6+69jVBwTlIRUta3ZRFkT7DAsQuuLSRhvV1TYHPca1JayCLWV1wnDhPDlRvqhs20blK2BzCt6udlRV9asQ/cIhUgoLz6pMdFLt3tE69iQ5r0ScK7+N9jhA3o4hgh9h7xdDBe3VdFXO2DRGtgH24iEDFgDo8iOP/lae+9S3Y/gJyGiwcroZlUQAAAN90RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+eDwvbWk+PG1vPj08L21vPjxtbj44PC9tbj48bWk+c2luPC9taT48bW8+JiN4MjA2MTs8L21vPjxtaT4mI3gzQzk7PC9taT48bWk+dDwvbWk+PG1vPis8L21vPjxtbj42PC9tbj48bWk+Y29zPC9taT48bW8+JiN4MjA2MTs8L21vPjxtaT4mI3gzQzk7PC9taT48bWk+dDwvbWk+PC9tYXRoPiOXJSUAAAAASUVORK5CYII=)
So, ![a subscript 1 end subscript equals 8 blank c m blank a n d a subscript 2 end subscript equals 6 blank c m](data:image/png;base64,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)
Amplitude of motion
![A equals square root of a subscript 1 end subscript superscript 2 end superscript plus a subscript 2 end subscript superscript 2 end superscript end root](data:image/png;base64,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)
= ![square root of 8 to the power of 2 end exponent plus 6 to the power of 2 end exponent end root](data:image/png;base64,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)
= ![square root of 64 plus 36 end root equals blank square root of 100 equals 10 blank c m](data:image/png;base64,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)
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A police car moving at
, changes a motorcyclist. The police man sounds his horn at 176 Hz, while both of them move towards a stationary siren of frequency 165 Hz. Calculate the speed of the motorcycle, if it is given that he does not observe any beats.
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)
A police car moving at
, changes a motorcyclist. The police man sounds his horn at 176 Hz, while both of them move towards a stationary siren of frequency 165 Hz. Calculate the speed of the motorcycle, if it is given that he does not observe any beats.
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)
Physics-General
Physics-
A motor cycle starts from rest and accelerates along a straight path at
. At the starting point of the motor cycle gone when the driver hears the frequency of the siren at 94% of its value when the motor cycle was rest? (Speed =330
)
A motor cycle starts from rest and accelerates along a straight path at
. At the starting point of the motor cycle gone when the driver hears the frequency of the siren at 94% of its value when the motor cycle was rest? (Speed =330
)
Physics-General
Physics-
A piston fitted in cylindrical pipe is pulled as shown in the figure. A tuning fork is sounded at open end and loudest sound is heard at open length 13cm, 41 cm and 69 cm, the frequency of tuning fork if velocity of sound is
is
![](data:image/png;base64,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)
A piston fitted in cylindrical pipe is pulled as shown in the figure. A tuning fork is sounded at open end and loudest sound is heard at open length 13cm, 41 cm and 69 cm, the frequency of tuning fork if velocity of sound is
is
![](data:image/png;base64,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)
Physics-General
Physics-
An open organ pipe is closed suddenly with the result that the second overtone of the closed pipe is found to be higher in frequency by 100 than the first overtone of the original pipe. Then the fundamental frequency of the open pipe is
An open organ pipe is closed suddenly with the result that the second overtone of the closed pipe is found to be higher in frequency by 100 than the first overtone of the original pipe. Then the fundamental frequency of the open pipe is
Physics-General
Physics-
In an experiment with sonameter a tuning fork of frequency 256 Hz resonates with a length of 25 cm and another tuning fork resonates with a length of 16 cm. tension of the string remaining constant the frequency of the second tuning fork is
In an experiment with sonameter a tuning fork of frequency 256 Hz resonates with a length of 25 cm and another tuning fork resonates with a length of 16 cm. tension of the string remaining constant the frequency of the second tuning fork is
Physics-General
Physics-
A uniform wire of length L, diameter D and density S is stretched under a tension T. the correct relation between its fundamental frequency f, the length L and the diameter D is
A uniform wire of length L, diameter D and density S is stretched under a tension T. the correct relation between its fundamental frequency f, the length L and the diameter D is
Physics-General
Physics-
If you set up the seven overtone on a string fixed at both ends, how many nodes and antinodes are set up in it?
If you set up the seven overtone on a string fixed at both ends, how many nodes and antinodes are set up in it?
Physics-General
Physics-
If in a resonance tube a oil of density higher than that water is used then at the resonance frequency would
If in a resonance tube a oil of density higher than that water is used then at the resonance frequency would
Physics-General
Physics-
Two vibrating tuning forks produce progressive waves given by
. Number of beats produced per minute is
Two vibrating tuning forks produce progressive waves given by
. Number of beats produced per minute is
Physics-General