Physics-
General
Easy
Question
The Speed of sound in a mixture of 1 mole of helium and 2 moles of oxygen at
is
The correct answer is: ![400.8 m s to the power of negative 1 end exponent](data:image/png;base64,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)
Molecular weight of mixture
![M subscript m i x end subscript equals fraction numerator n subscript 1 end subscript M subscript 1 end subscript plus n subscript 2 end subscript M subscript 2 end subscript over denominator n subscript 1 end subscript plus n subscript 2 end subscript end fraction equals fraction numerator 1 cross times 4 plus 2 cross times 32 over denominator 1 plus 2 end fraction equals fraction numerator 68 over denominator 3 end fraction](data:image/png;base64,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)
![equals fraction numerator 68 over denominator 3 end fraction cross times 10 to the power of 3 end exponent k g blank m o l to the power of negative 1 end exponent](data:image/png;base64,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)
For helium ![C subscript v subscript 1 end subscript end subscript equals fraction numerator 3 over denominator 2 end fraction R](data:image/png;base64,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)
For oxygen ![C subscript v subscript 2 end subscript end subscript equals fraction numerator 5 over denominator 2 end fraction R](data:image/png;base64,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)
![open parentheses C subscript v end subscript close parentheses subscript m i x end subscript equals fraction numerator n subscript 1 end subscript C subscript v subscript 1 end subscript end subscript plus n subscript 2 end subscript C subscript v subscript 2 end subscript end subscript over denominator n subscript 1 end subscript plus n subscript 2 end subscript end fraction](data:image/png;base64,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)
![equals fraction numerator 1 cross times fraction numerator 3 R over denominator 2 end fraction plus 2 cross times fraction numerator 5 R over denominator 2 end fraction over denominator 1 plus 2 end fraction equals fraction numerator 13 R over denominator 6 end fraction](data:image/png;base64,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)
![open parentheses C subscript p end subscript close parentheses subscript m i x end subscript equals open parentheses C subscript v end subscript close parentheses subscript m i x end subscript plus R](data:image/png;base64,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)
![equals fraction numerator 13 R over denominator 6 end fraction plus R equals fraction numerator 19 R over denominator 6 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIwAAAAjCAYAAABGiuIFAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAvBJREFUeNrtWzFoFEEUHUIIFiJIEAkphBBCsBBBgogECYhIEBEhBEkhErCwsrANImJjJXZiISIiBLGQcAgih1gFQhCxEEGs0lqIyHEE1v9zL7KOf3Z3lJy7znvwipvbHJk3f///8/+MczuPCeGS8G3g+xlhS/hd2BF+FN4RDhf8pj6XCTeEq/j7fS4NlOmpOCF8A51U16fCsabo+Uh4Gf+QhbbwvHAoN3ZY+CLw/Lgh1i3h7UQMpkzPU8L3winhgHBQuCj8INzfJD2zyOe/BsbPCR97Y/PCBy4thPRcC3iTuYAR1FbPGIMZwxth4brwmjd2Q3iVBrOFzcC4epv1JulZxWDUZV5CHjMbeGZZeDb3eU+Bu03RYD4JjxjjB5DPNEbPrOS7PIusW41pBLH5NN6aOZceQnqqFp+R+A6AZ6BTt0l6VvEwexFTVzFhy61uesY17dJEVrJLamP304EXGTc8TK31jMlhdsNofByFENs4ltDu6G83EbsMTWutZ+wEO8bYBSN7f4n4TIMphta7bjZJz5gJHkJs9XEXNQjnvRUPaTCl0NrKaJP0DE3wNZKsQcTUGSRtF41nnwV2T6+EB2kwP7XIF0LVSJa8nVCt9cwM5qFJ1kouQWsjq7fwBbHYGW9Fq49z+pel9DI9T0JDTWa1+PkEHrvOev7XSL01kTxicwG2JmgwUWBrokKMLIqZqRlMbCk9NT3pYTywNdFn79Qv7oQH7XcpvQl6MiQV4E9K6QxJCRsMWxNElMGwNUFEGQxbE0QUWEqvGaZQ59AeiPZrnjv7IBVBPbdyA53QBD5rQWzB9e7XENTzF2j8X+MaU8+quIctK0E9K0F7MSNcZ+pZFR3EWt226sn2LlzqAteeelrQWog28bTGsX1U87jrNfqucP2ppw/d9o0a43opf4PrTz19tPAWWOhy/amnD3WT88b4pLMvtBGJ66lXIvS6ySJirkKPErxzvVPwBPX8DXpN477wm+sdUtIJT3Pt66XnD4N6YOu61T8fAAAA3XRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbz49PC9tbz48bWZyYWM+PG1yb3c+PG1uPjEzPC9tbj48bWk+UjwvbWk+PC9tcm93Pjxtbj42PC9tbj48L21mcmFjPjxtbz4rPC9tbz48bWk+UjwvbWk+PG1vPj08L21vPjxtZnJhYz48bXJvdz48bW4+MTk8L21uPjxtaT5SPC9taT48L21yb3c+PG1uPjY8L21uPjwvbWZyYWM+PC9tYXRoPhlaiH8AAAAASUVORK5CYII=)
![y subscript m i x end subscript equals square root of fraction numerator open parentheses C subscript p end subscript close parentheses subscript m i x end subscript over denominator open parentheses C subscript v end subscript close parentheses subscript m i x end subscript end fraction end root equals fraction numerator 19 over denominator 13 end fraction](data:image/png;base64,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)
![v equals square root of fraction numerator gamma subscript m i x end subscript R T over denominator M subscript m i x end subscript end fraction end root](data:image/png;base64,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)
![equals square root of fraction numerator 19 over denominator 13 end fraction cross times fraction numerator 8.31 cross times 300 over denominator fraction numerator 68 over denominator 3 end fraction cross times 10 to the power of negative 3 end exponent end fraction end root equals 400.9 blank m s to the power of negative 1 end exponent](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
Chemistry-
Silica reacts with magnesium compound X, X reacts with dil HCl and forms Y and Z If two moles of HCl reacts with one mole of X then how many mole of y will be formed
Silica reacts with magnesium compound X, X reacts with dil HCl and forms Y and Z If two moles of HCl reacts with one mole of X then how many mole of y will be formed
Chemistry-General
Chemistry-
Carbondioxide is used for extinguishing fire because
Carbondioxide is used for extinguishing fire because
Chemistry-General
Chemistry-
Which is correct regarding CO2
Which is correct regarding CO2
Chemistry-General
Chemistry-
CO2and N2are non-supporters of combustion However for putting out fires CO2 is preferred over N2 because CO2
CO2and N2are non-supporters of combustion However for putting out fires CO2 is preferred over N2 because CO2
Chemistry-General