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If one root of the equation <img src="data:image/png;base64,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" class="Wirisformula" alt="a x squared plus b x plus c equals 0" width="119" height="17" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»a«/mi»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mi»b«/mi»«mi»x«/mi»«mo»+«/mo»«mi»c«/mi»«mo»=«/mo»«mn»0«/mn»«/math»'/> is reciprocal of the one of the roots of equation  <img src="data:image/png;base64,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" class="Wirisformula" alt="a subscript 1 x squared plus b subscript 1 x plus c subscript 1 equals 0" width="145" height="21" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msub»«mi»a«/mi»«mn»1«/mn»«/msub»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«msub»«mi»b«/mi»«mn»1«/mn»«/msub»«mi»x«/mi»«mo»+«/mo»«msub»«mi»c«/mi»«mn»1«/mn»«/msub»«mo»=«/mo»«mn»0«/mn»«/math»'/> then

Solution for the question - if one root of the equation ax^(2)+bx+c=0 is reciprocal of the one ofthe roots of equation a_(1)x^(2)+b_(1)x+c_(1)=0 then (a_(1)c-ac_(1))^(2)=(ba_(1)-b_(1)a)(c_(1)b-b_(1)c) '/>

If one root of the equation ax^(2)+bx+c=0 is reciprocal of -Turito

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If the quadratic equation <img src="data:image/png;base64,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" class="Wirisformula" alt="a x squared plus 2 c x plus b equals 0" width="129" height="17" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»a«/mi»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»2«/mn»«mi»c«/mi»«mi»x«/mi»«mo»+«/mo»«mi»b«/mi»«mo»=«/mo»«mn»0«/mn»«/math»'/> and <img src="data:image/png;base64,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" class="Wirisformula" alt="a x squared plus 2 b x plus c equals 0 left parenthesis b not equal to c right parenthesis" width="176" height="18" style="vertical-align:-2px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»a«/mi»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»2«/mn»«mi»b«/mi»«mi»x«/mi»«mo»+«/mo»«mi»c«/mi»«mo»=«/mo»«mn»0«/mn»«mo»(«/mo»«mi»b«/mi»«mo»§#8800;«/mo»«mi»c«/mi»«mo»)«/mo»«/math»'/> have a common root then <img src="data:image/png;base64,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" class="Wirisformula" alt="a plus 4 b plus 4 c" width="84" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»a«/mi»«mo»+«/mo»«mn»4«/mn»«mi»b«/mi»«mo»+«/mo»«mn»4«/mn»«mi»c«/mi»«/math»'/> is equal to

Solution for the question - if the quadratic equation ax^(2)+2cx+b=0 and ax^(2)+2bx+c=0(b!=c)have a common rootthen a+4b+4c is equal to 10-1

If the quadratic equation ax^(2)+2cx+b=0 and ax^(2)+2bx+c-Turito

At the time of applying the impulsive force block of 10 kg pushes the spring forward but 4 kg mass is at rest. Hence, <img src="data:image/png;base64,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" class="Wirisformula" alt="v subscript C M end subscript equals fraction numerator m subscript 1 end subscript v subscript 1 end subscript plus m subscript 2 end subscript v subscript 2 end subscript over denominator m subscript 1 end subscript plus m subscript 2 end subscript end fraction equals fraction numerator 10 cross times 14 plus 4 cross times 0 over denominator 10 plus 4 end fraction equals fraction numerator 140 over denominator 14 end fraction equals 10 m s to the power of negative 1 end exponent" width="423" height="42" style="vertical-align:-17px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»v«/mi»«/mrow»«mrow»«mi»C«/mi»«mi»M«/mi»«/mrow»«/msub»«mo»=«/mo»«mfrac»«mrow»«msub»«mrow»«mi»m«/mi»«/mrow»«mrow»«mn»1«/mn»«/mrow»«/msub»«msub»«mrow»«mi»v«/mi»«/mrow»«mrow»«mn»1«/mn»«/mrow»«/msub»«mo»+«/mo»«msub»«mrow»«mi»m«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msub»«msub»«mrow»«mi»v«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msub»«/mrow»«mrow»«msub»«mrow»«mi»m«/mi»«/mrow»«mrow»«mn»1«/mn»«/mrow»«/msub»«mo»+«/mo»«msub»«mrow»«mi»m«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msub»«/mrow»«/mfrac»«mo»=«/mo»«mfrac»«mrow»«mn»10«/mn»«mo»×«/mo»«mn»14«/mn»«mo»+«/mo»«mn»4«/mn»«mo»×«/mo»«mn»0«/mn»«/mrow»«mrow»«mn»10«/mn»«mo»+«/mo»«mn»4«/mn»«/mrow»«/mfrac»«mo»=«/mo»«mfrac»«mrow»«mn»140«/mn»«/mrow»«mrow»«mn»14«/mn»«/mrow»«/mfrac»«mo»=«/mo»«mn»10«/mn»«mi»m«/mi»«msup»«mrow»«mi»s«/mi»«/mrow»«mrow»«mo»-«/mo»«mn»1«/mn»«/mrow»«/msup»«/math»'/>

Solution for the question - two blocks of masses 10 kg and 4 kg are connected by a spring of negligiblemass and placed on frictionless horizontal surface. an im

Two blocks of masses 10 kg and 4 kg are connected by a spring o-Turito

In a Δabc if b+c=3a then <img src="data:image/png;base64,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" class="Wirisformula" alt="cot invisible function application straight B over 2 times cot invisible function application straight C over 2" width="97" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»cot«/mi»«mo»§#8289;«/mo»«mfrac»«mi mathvariant=¨normal¨»B«/mi»«mn»2«/mn»«/mfrac»«mo»§#8901;«/mo»«mi»cot«/mi»«mo»§#8289;«/mo»«mfrac»«mi mathvariant=¨normal¨»C«/mi»«mn»2«/mn»«/mfrac»«/math»'/> has the value equal to –

Solution for the question - in aabc if b+c=3a then cot ((b)/(2))*cot ((c)/(2)) has the valueequal to 12

In aabc if b+c=3a then cot ((b)/(2))*cot ((c)/(2)) has -Turito

In a <img src="data:image/png;base64,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" class="Wirisformula" alt="capital delta A B C open parentheses fraction numerator a to the power of 2 end exponent over denominator sin invisible function application A end fraction plus fraction numerator b to the power of 2 end exponent over denominator sin invisible function application B end fraction plus fraction numerator c to the power of 2 end exponent over denominator sin invisible function application C end fraction close parentheses times s i n invisible function application fraction numerator A over denominator 2 end fraction s i n invisible function application fraction numerator B over denominator 2 end fraction s i n invisible function application fraction numerator C over denominator 2 end fraction" width="360" height="43" style="vertical-align:-14px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»Δ«/mi»«mi»A«/mi»«mi»B«/mi»«mi»C«/mi»«mfenced separators=¨|¨»«mrow»«mfrac»«mrow»«msup»«mrow»«mi»a«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«/mrow»«mrow»«mrow»«mrow»«mi»sin«/mi»«/mrow»«mo»⁡«/mo»«mrow»«mi»A«/mi»«/mrow»«/mrow»«/mrow»«/mfrac»«mo»+«/mo»«mfrac»«mrow»«msup»«mrow»«mi»b«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«/mrow»«mrow»«mrow»«mrow»«mi»sin«/mi»«/mrow»«mo»⁡«/mo»«mrow»«mi»B«/mi»«/mrow»«/mrow»«/mrow»«/mfrac»«mo»+«/mo»«mfrac»«mrow»«msup»«mrow»«mi»c«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«/mrow»«mrow»«mrow»«mrow»«mi»sin«/mi»«/mrow»«mo»⁡«/mo»«mrow»«mi»C«/mi»«/mrow»«/mrow»«/mrow»«/mfrac»«/mrow»«/mfenced»«mo»⋅«/mo»«mi»s«/mi»«mi»i«/mi»«mi»n«/mi»«mo»⁡«/mo»«mfrac»«mrow»«mi»A«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/mfrac»«mi»s«/mi»«mi»i«/mi»«mi»n«/mi»«mo»⁡«/mo»«mfrac»«mrow»«mi»B«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/mfrac»«mi»s«/mi»«mi»i«/mi»«mi»n«/mi»«mo»⁡«/mo»«mfrac»«mrow»«mi»C«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/mfrac»«/math»'/> simplifies to

Solution for the question - in a /_\abc((a^(2))/(sin a)+(b^(2))/(sin b)+(c^(2))/(sin c))*sin((a)/(2))sin ((b)/(2))sin ((c)/(2)) simplifies to (delta)/(4) '/> (delta)/(2) '/>

In a /_\abc((a^(2))/(sin a)+(b^(2))/(sin b)+(c^(2))/(sin c))*si-Turito

In a triangle ABC, a: b: c = 4: 5: 6. Then 3A + B equals to :

Solution for the question - in a triangle abc, a: b: c = 4: 5: 6. then 3a + b equals to : 76 '/> pi-c '/> 2pi '/>4c

In a triangle abc, a: b: c = 4: 5: 6. then 3a + b equals to :-Turito

Solution for the question - a bullet of mass is is fired with a velocity of 50 ms^(-1) at an angletheta with the horizontal. at the highest point of its traject

A bullet of mass is is fired with a velocity of 50 ms^(-1) at a-Turito

Let centre of mass of lead sphere after hollowing be at point <img src="data:image/png;base64,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" class="Wirisformula" alt="O subscript 2 end subscript comma" width="26" height="17" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»O«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msub»«mo»,«/mo»«/math»'/> where <img src="data:image/png;base64,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" class="Wirisformula" alt="O O subscript 2 end subscript equals x" width="61" height="17" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»O«/mi»«msub»«mrow»«mi»O«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msub»«mo»=«/mo»«mi»x«/mi»«/math»'/> Mass of spherical hollow <img src="data:image/png;base64,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" class="Wirisformula" alt="m equals fraction numerator fraction numerator 4 over denominator 3 end fraction pi open parentheses fraction numerator R over denominator 2 end fraction close parentheses to the power of 2 end exponent M over denominator open parentheses fraction numerator 4 over denominator 2 end fraction pi R to the power of 3 end exponent close parentheses end fraction equals fraction numerator M over denominator 8 end fraction" width="164" height="66" style="vertical-align:-26px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»m«/mi»«mo»=«/mo»«mfrac»«mrow»«mfrac»«mrow»«mn»4«/mn»«/mrow»«mrow»«mn»3«/mn»«/mrow»«/mfrac»«mi»π«/mi»«msup»«mrow»«mfenced separators=¨|¨»«mrow»«mfrac»«mrow»«mi»R«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/mfrac»«/mrow»«/mfenced»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«mi»M«/mi»«/mrow»«mrow»«mfenced separators=¨|¨»«mrow»«mfrac»«mrow»«mn»4«/mn»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/mfrac»«mi»π«/mi»«msup»«mrow»«mi»R«/mi»«/mrow»«mrow»«mn»3«/mn»«/mrow»«/msup»«/mrow»«/mfenced»«/mrow»«/mfrac»«mo»=«/mo»«mfrac»«mrow»«mi»M«/mi»«/mrow»«mrow»«mn»8«/mn»«/mrow»«/mfrac»«/math»'/> and <img src="data:image/png;base64,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" class="Wirisformula" alt="x equals O O subscript 1 end subscript equals fraction numerator R over denominator 2 end fraction" width="97" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»x«/mi»«mo»=«/mo»«mi»O«/mi»«msub»«mrow»«mi»O«/mi»«/mrow»«mrow»«mn»1«/mn»«/mrow»«/msub»«mo»=«/mo»«mfrac»«mrow»«mi»R«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/mfrac»«/math»'/> <img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/generalfeedback/482917/1/919328/Picture120.png" alt="" width="123" height="135" /> <img src="data:image/png;base64,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" class="Wirisformula" alt="therefore blank x equals fraction numerator M cross times 0 minus open parentheses fraction numerator M over denominator 8 end fraction close parentheses cross times fraction numerator R over denominator 2 end fraction over denominator M minus fraction numerator M over denominator 8 end fraction end fraction equals fraction numerator fraction numerator M R over denominator 16 end fraction over denominator fraction numerator 7 M over denominator 8 end fraction end fraction equals negative fraction numerator R over denominator 14 end fraction" width="297" height="64" style="vertical-align:-26px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»∴«/mo»«mi» «/mi»«mi»x«/mi»«mo»=«/mo»«mfrac»«mrow»«mi»M«/mi»«mo»×«/mo»«mn»0«/mn»«mo»-«/mo»«mfenced separators=¨|¨»«mrow»«mfrac»«mrow»«mi»M«/mi»«/mrow»«mrow»«mn»8«/mn»«/mrow»«/mfrac»«/mrow»«/mfenced»«mo»×«/mo»«mfrac»«mrow»«mi»R«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/mfrac»«/mrow»«mrow»«mi»M«/mi»«mo»-«/mo»«mfrac»«mrow»«mi»M«/mi»«/mrow»«mrow»«mn»8«/mn»«/mrow»«/mfrac»«/mrow»«/mfrac»«mo»=«/mo»«mfrac»«mrow»«mfrac»«mrow»«mi»M«/mi»«mi»R«/mi»«/mrow»«mrow»«mn»16«/mn»«/mrow»«/mfrac»«/mrow»«mrow»«mfrac»«mrow»«mn»7«/mn»«mi»M«/mi»«/mrow»«mrow»«mn»8«/mn»«/mrow»«/mfrac»«/mrow»«/mfrac»«mo»=«/mo»«mo»-«/mo»«mfrac»«mrow»«mi»R«/mi»«/mrow»«mrow»«mn»14«/mn»«/mrow»«/mfrac»«/math»'/> <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABEAAAAKCAYAAABSfLWiAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAACBJREFUeNpjYCAM/kMxRYAqhowC/AEZAJVbThdDBgYAAO75C+VyngYIAAAAUHRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbz4mI3gyMjM0OzwvbW8+PC9tYXRoPhpvPpoAAAAASUVORK5CYII=" class="Wirisformula" alt="therefore" width="17" height="10" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»∴«/mo»«/math»'/> shift <img src="data:image/png;base64,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" class="Wirisformula" alt="equals fraction numerator R over denominator 14 end fraction" width="45" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»=«/mo»«mfrac»«mrow»«mi»R«/mi»«/mrow»«mrow»«mn»14«/mn»«/mrow»«/mfrac»«/math»'/>

A spherical hollow is made in a lead sphere of radius <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAANCAYAAAB/9ZQ7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJ5JREFUeNpjYMAEP4D4PxA/BeKTQLwNiEWxqGNQAeILaGKtQNyFTXEAEC9FEwsH4vnYFNcDcQmaWCMQF2BTvAqI/ZD4fEB8A4jFsSm+BcSSQMwCxB5AfA6IQ7EpZALiP9CQgGFbBhzAHIj3I/EtcYUCCERi8fVuIJbHpngSEKehiYFMX4hN8Tog9sIivheItdAF3wExBxbFltAoJw0AAKDiG/NA/rdGAAAASXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5SPC9taT48L21hdGg+SC/J9gAAAABJRU5ErkJggg==" class="Wirisformula" alt="R" width="11" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»R«/mi»«/math»'/> such that its surface touches the outside surface of lead sphere and passes through the centre. What is the shift in the centre of lead sphere as a result of this hollowing? <img src="data:image/png;base64,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" alt="" />

Solution for the question - a spherical hollow is made in a lead sphere of radius r such that itssurface touches the outside surface of lead sphere and passes t

A spherical hollow is made in a lead sphere of radius r such th-Turito

On heating a mixture of <img src="data:image/png;base64,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" class="Wirisformula" alt="N H subscript 4 end subscript C l" width="50" height="17" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»N«/mi»«mi»H«/mi»«/mrow»«mrow»«mn»4«/mn»«/mrow»«/msub»«mi»C«/mi»«mi»l«/mi»«/math»'/>ans <img src="data:image/png;base64,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" class="Wirisformula" alt="K N O subscript 2 end subscript" width="43" height="17" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»K«/mi»«mi»N«/mi»«mi»O«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msub»«/math»'/>, we get –

Solution for the question - on heating a mixture of nh_(4)cl ans kno_(2) , we get non_(2)   khn_(4)(no_(3))_(2)   nh_(4)no_(3)

On heating a mixture of nh_(4)cl ans kno_(2) , we get  -Turito

Three identical blocks <img src="data:image/png;base64,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" class="Wirisformula" alt="A comma B" width="27" height="15" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»A«/mi»«mo»,«/mo»«mi»B«/mi»«/math»'/> and <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAANCAYAAACdKY9CAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAIZJREFUeNpjYMAOlIC4C4gvAPE3IH4IxM1ALIhNcQkQbwFiWyBmgorJAnEBEM9HV1wOxLMZiARqQHwXiFmI1dADtZZocA2IVYhVDPLcD1JMZwPiTwwkgi9AzEWKhrnQOCAayAPxOyCuRIpRDiD2gRrmgk0TKJQWQv3zH4g/APEaIPZiIBcAAHu0FfN1Pu0WAAAASXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5DPC9taT48L21hdGg+Ib62qQAAAABJRU5ErkJggg==" class="Wirisformula" alt="C" width="12" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»C«/mi»«/math»'/> are placed on horizontal frictionless surface. The blocks <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAANCAYAAACdKY9CAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAIdJREFUeNpjYMAPChhIAOFA/AuIWYhRLAjEl4B4NxAHEKNhJhBHAnE8EE8hpNgSiLdA2eJAfBefYpB7zwCxLJLYOSDWwKWhHohL0MRagTgLm2INqGnowB6IN2HTcBiI/+PAGMGbBsQT8PhtORB7wTiS0DDnwaMhGdnAVUDsQyCopYH4FgM5AACEKxqdNkqvogAAAEl0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+QTwvbWk+PC9tYXRoPkHiA+IAAAAASUVORK5CYII=" class="Wirisformula" alt="A" width="12" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»A«/mi»«/math»'/> and <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAANCAYAAACdKY9CAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAIZJREFUeNpjYMAOlIC4C4gvAPE3IH4IxM1ALIhNcQkQbwFiWyBmgorJAnEBEM9HV1wOxLMZiARqQHwXiFmI1dADtZZocA2IVYhVDPLcD1JMZwPiTwwkgi9AzEWKhrnQOCAayAPxOyCuRIpRDiD2gRrmgk0TKJQWQv3zH4g/APEaIPZiIBcAAHu0FfN1Pu0WAAAASXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5DPC9taT48L21hdGg+Ib62qQAAAABJRU5ErkJggg==" class="Wirisformula" alt="C" width="12" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»C«/mi»«/math»'/> are at rest. But <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAANCAYAAACdKY9CAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAIdJREFUeNpjYMAPChhIAOFA/AuIWYhRLAjEl4B4NxAHEKNhJhBHAnE8EE8hpNgSiLdA2eJAfBefYpB7zwCxLJLYOSDWwKWhHohL0MRagTgLm2INqGnowB6IN2HTcBiI/+PAGMGbBsQT8PhtORB7wTiS0DDnwaMhGdnAVUDsQyCopYH4FgM5AACEKxqdNkqvogAAAEl0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+QTwvbWk+PC9tYXRoPkHiA+IAAAAASUVORK5CYII=" class="Wirisformula" alt="A" width="12" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»A«/mi»«/math»'/> is approaching towards <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAANCAYAAACQN/8FAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJ5JREFUeNpjYMAEP4D4DxA/BOK7QLwJiCXRFakA8QU0sWYgno+uMACIl6KJBWERY6gH4nI0sYVA7IGucBXUVCYgNgDiuUBcgMUfDLeA+D8Uf8FmEgPUlC9QNhsQuwDxcSBWQ1doDsR70cSigbgLXWEk1E3IIBaIZ6MrnATEiWhic6EGoIB1SI4XBeJQaOCzoSt8h+RjUDQuB2JpBlIBAK5MH2X+n9d5AAAASXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5CPC9taT48L21hdGg+/ChvLAAAAABJRU5ErkJggg==" class="Wirisformula" alt="B" width="10" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»B«/mi»«/math»'/> with a speed 10 <img src="data:image/png;base64,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" class="Wirisformula" alt="m s to the power of negative 1 end exponent" width="43" height="17" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»m«/mi»«msup»«mrow»«mi»s«/mi»«/mrow»«mrow»«mo»-«/mo»«mn»1«/mn»«/mrow»«/msup»«/math»'/>. The coefficient of restitution for all collisions is 0.5. The speed of the block <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAANCAYAAACdKY9CAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAIZJREFUeNpjYMAOlIC4C4gvAPE3IH4IxM1ALIhNcQkQbwFiWyBmgorJAnEBEM9HV1wOxLMZiARqQHwXiFmI1dADtZZocA2IVYhVDPLcD1JMZwPiTwwkgi9AzEWKhrnQOCAayAPxOyCuRIpRDiD2gRrmgk0TKJQWQv3zH4g/APEaIPZiIBcAAHu0FfN1Pu0WAAAASXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5DPC9taT48L21hdGg+Ib62qQAAAABJRU5ErkJggg==" class="Wirisformula" alt="C" width="12" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»C«/mi»«/math»'/> just after collision is <img src="data:image/png;base64,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" alt="" />

Solution for the question - three identical blocks a,b and 0 are placed on horizontal frictionlesssurface. the blocks a and 0 are at rest. but a is approaching

Three identical blocks a,b and 0 are placed on horizontal frict-Turito

When <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAANCAYAAACdKY9CAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAIZJREFUeNpjYMAOlIC4C4gvAPE3IH4IxM1ALIhNcQkQbwFiWyBmgorJAnEBEM9HV1wOxLMZiARqQHwXiFmI1dADtZZocA2IVYhVDPLcD1JMZwPiTwwkgi9AzEWKhrnQOCAayAPxOyCuRIpRDiD2gRrmgk0TKJQWQv3zH4g/APEaIPZiIBcAAHu0FfN1Pu0WAAAASXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5DPC9taT48L21hdGg+Ib62qQAAAABJRU5ErkJggg==" class="Wirisformula" alt="C" width="12" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»C«/mi»«/math»'/> collides with <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAANCAYAAACQN/8FAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJ5JREFUeNpjYMAEP4D4DxA/BOK7QLwJiCXRFakA8QU0sWYgno+uMACIl6KJBWERY6gH4nI0sYVA7IGucBXUVCYgNgDiuUBcgMUfDLeA+D8Uf8FmEgPUlC9QNhsQuwDxcSBWQ1doDsR70cSigbgLXWEk1E3IIBaIZ6MrnATEiWhic6EGoIB1SI4XBeJQaOCzoSt8h+RjUDQuB2JpBlIBAK5MH2X+n9d5AAAASXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5CPC9taT48L21hdGg+/ChvLAAAAABJRU5ErkJggg==" class="Wirisformula" alt="B" width="10" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»B«/mi»«/math»'/> then due to impulsive force, combined mass (<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACcAAAANCAYAAAAqlHdlAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAR1JREFUeNpjYMAEP4D4DxA/BOK7QLwJiCUZaAeUgLgLiC8A8Teovc1ALIiuUAWqCBmAFM6nkcNKgHgLENsCMRNUTBaIC7DZGQDES9HEgrCIYQP/SXRYORDPJkVDPVQTMlgIxB5UdpwaNMmwkOK4VdDQAwWxARDPhQYxA5Ud10OCuXBwC2oJCH8hMsTIcdw1aPomGjBBHQQCbEDsAsTHoVGAyzGEMC57fpAaauZAvBdNLBqazakZciCPfyLVcZHQNIYMYknIUaREKyiGuEhx3CQgTkQTmwt1NLUdNxdaxhEN1iFlAFEgDoUWyGw0cJw8EL8D4kqkmoADiH2gDndB1/AOKSGDEuxyIJamYbWlAi1DP0Ht/ADEa4DYi2EoAAC6z0ZGe32R0wAAAF10RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+QjwvbWk+PG1vPis8L21vPjxtaT5DPC9taT48L21hdGg+mr0KPAAAAABJRU5ErkJggg==" class="Wirisformula" alt="B plus C" width="39" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»B«/mi»«mo»+«/mo»«mi»C«/mi»«/math»'/>) starts to move upward. Consequently the string becomes slack

Solution for the question - two identical masses a and 8 are hanging stationary by a light pulley(shown in the figure). a shell 0 moving upwards with velocity c

Two identical masses a and 8 are hanging stationary by a light -Turito

When the sphere 1 is released from horizontal position, then from energy conservation, potential energy at height <img src="data:image/png;base64,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" class="Wirisformula" alt="l subscript 0 end subscript equals" width="31" height="17" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»l«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«mo»=«/mo»«/math»'/> kinetic energy at bottom Or <img src="data:image/png;base64,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" class="Wirisformula" alt="m g l subscript 0 end subscript equals fraction numerator 1 over denominator 2 end fraction m v to the power of 2 end exponent" width="106" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»m«/mi»«mi»g«/mi»«msub»«mrow»«mi»l«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«mo»=«/mo»«mfrac»«mrow»«mn»1«/mn»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/mfrac»«mi»m«/mi»«msup»«mrow»«mi»v«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msup»«/math»'/> Or <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEwAAAAYCAYAAABQiBvKAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAohJREFUeNrtmE9IVFEUxh/yFiIiiIaGiyRmISEihKj9wYUiIUNI0ELaCIZIhIgbN0aBhGCLIKKNQYiEECJSIUGIDRIiuRhSKdq5kBTBERUNS/S78AWPy32+e3XeeAfeBz8Yv7lv5s55555zno5jn3LBkcVYp1vgmxNJW8/BYBQGff0AdVEY9FQOUsCV/OtgHGyDA5AE99L0nXsgJ1sD9hCMKfwEaAP5/PsK+ErvLIqB79mcYR9Au+baS2n4sa0+NyhQd8BbhT8NWjIULHEMd0CpwTV/fPw8MAQ2uEYc55egT1r3WOFpp2ZS8hrAvM/6MOYV03GinsdSFfgEA+GSXvCPGeXVO4V36uI3B5oyeByfgQGD4XaezUDWI/BU4f8CFxVe2Wk3LAJU5bnbiXMYJ25orCsEk6DZ5/3foEjyRCLsKry9s2x4BNzl6yRT3snQkfQbJ2RdZrBiPu9fBbMKvxbMaHhGesBCKc705xAzqVjhdWl0qwowzIJ+UvMaVfhi/Hij4QnFwU8SP2lDohtOgCVQHUKgYtygyL4aw3GihAU6KANv+wReBLFD8l6ATkUjSfBIFzEDfU9aHlvw+5Ayq58BWwOfpAKeChgnPjLDglQA1j03vJojxSq7vlcTipFpUlp3MygeW6Ay5OLeA/YZKIedeDHgGpNaKbJshY9QC2wOG4rHn03PHv5rW1qXQ+/c9Rfc94wTT0L8rkqDaV51Aw5sCNgXsBzCfyfEsX3lmbdqONxWaF4vZ5hrS4Y1gkNwjXOTm6bPzWcx3+WMNWVYYuQa1sD6aYVSbN1jjj2qZ2cUw/EFdswWWzb3mjWj3bFLcT4yiabQbdPGShiwYieStrqiEJjJzbYNHwNYyL+oKQltewAAAJd0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+djwvbWk+PG1vPj08L21vPjxtc3FydD48bW4+MjwvbW4+PG1pPmc8L21pPjxtc3ViPjxtaT5sPC9taT48bW4+MDwvbW4+PC9tc3ViPjwvbXNxcnQ+PC9tYXRoPu83XAgAAAAASUVORK5CYII=" class="Wirisformula" alt="v equals square root of 2 g l subscript 0 end subscript end root" width="76" height="24" style="vertical-align:-8px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»v«/mi»«mo»=«/mo»«msqrt»«mn»2«/mn»«mi»g«/mi»«msub»«mrow»«mi»l«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«/msqrt»«/math»'/> Since, all collisions are elastic, so velocity of sphere 1 is transferred to sphere 2, then from 2 to 3 and finally from 3 to 4. Hence, just after collision, the sphere 4 attains a velocity equal to <img src="data:image/png;base64,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" class="Wirisformula" alt="square root of 2 g l subscript 0 end subscript end root" width="50" height="24" style="vertical-align:-8px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msqrt»«mn»2«/mn»«mi»g«/mi»«msub»«mrow»«mi»l«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«/msub»«/msqrt»«/math»'/>

Solution for the question - in the given figure four identical spheres of equal mass is are suspendedby wires of equal length p_(0) , so that all spheres are al

In the given figure four identical spheres of equal mass is are-Turito

Here, effected gravitational acceleration is <img src="data:image/png;base64,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" class="Wirisformula" alt="g to the power of ´ end exponent equals fraction numerator m g minus q E over denominator m end fraction" width="107" height="35" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msup»«mrow»«mi»g«/mi»«/mrow»«mrow»«mi»´«/mi»«/mrow»«/msup»«mo»=«/mo»«mfrac»«mrow»«mi»m«/mi»«mi»g«/mi»«mo»-«/mo»«mi»q«/mi»«mi»E«/mi»«/mrow»«mrow»«mi»m«/mi»«/mrow»«/mfrac»«/math»'/> <img src="data:image/png;base64,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" class="Wirisformula" alt="therefore blank R equals fraction numerator v subscript 0 end subscript superscript 2 end superscript sin invisible function application 2 alpha over denominator g ´ end fraction" width="119" height="48" style="vertical-align:-15px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mo»∴«/mo»«mi» «/mi»«mi»R«/mi»«mo»=«/mo»«mfrac»«mrow»«msubsup»«mrow»«mi»v«/mi»«/mrow»«mrow»«mn»0«/mn»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msubsup»«mrow»«mrow»«mi»sin«/mi»«/mrow»«mo»⁡«/mo»«mrow»«mn»2«/mn»«mi»α«/mi»«/mrow»«/mrow»«/mrow»«mrow»«mi»g«/mi»«mi»´«/mi»«/mrow»«/mfrac»«/math»'/> It means, <img src="data:image/png;base64,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" class="Wirisformula" alt="g ’" width="17" height="13" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»g«/mi»«mi»’«/mi»«/math»'/> for both particles are same This is possible when <img src="data:image/png;base64,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" class="Wirisformula" alt="m subscript 1 end subscript equals m subscript 2 end subscript" width="65" height="14" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»m«/mi»«/mrow»«mrow»«mn»1«/mn»«/mrow»«/msub»«mo»=«/mo»«msub»«mrow»«mi»m«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msub»«/math»'/> and <img src="data:image/png;base64,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" class="Wirisformula" alt="e subscript 1 end subscript equals e subscript 2 end subscript" width="53" height="14" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»e«/mi»«/mrow»«mrow»«mn»1«/mn»«/mrow»«/msub»«mo»=«/mo»«msub»«mrow»«mi»e«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msub»«/math»'/>

Two negatively charges particles having charges <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAAOCAYAAAAi2ky3AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAAItJREFUeNpjYEAF4kC8Boh/APFDILZnIAPwAfElIPaD8rWA+Ao5BnUBcSWa2BYgZiPFECYg/gDEomhin6A00cAciP9jwUdJ9RYoXFYRqVYNiGuB+AI2SUsgPkmkQYuBOA3qYqzgGhAXQMNEEBrwtngMxGmQEhAfBuI/UEOTCbjsPwOVwKhB+A1AxwwAM9okTBwRcocAAABgdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1zdWI+PG1pPmU8L21pPjxtbj4xPC9tbj48L21zdWI+PC9tYXRoPhiqfmoAAAAASUVORK5CYII=" class="Wirisformula" alt="e subscript 1 end subscript" width="18" height="14" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»e«/mi»«/mrow»«mrow»«mn»1«/mn»«/mrow»«/msub»«/math»'/> and <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAAOCAYAAAAi2ky3AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAAKNJREFUeNpjYEAF4kC8Boh/APFDILZnIAPwAfElIPaD8rWA+Ao5BnUBcSWa2BYgZiPFECYg/gDEomhin6A00cAciP9jwUdJ9RYoXFYRoQ5mwS+oJSroCiyB+CSJQZEFxOewSV4D4gKoIkFowNsSMPAHNkElID4MxH+ghiYTMASUxg4yUAgkoWGkRIkhatD0JUmpS7ZBcwFFAGSIBgMVALZECwYAMDYlmGhsnEAAAABgdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1zdWI+PG1pPmU8L21pPjxtbj4yPC9tbj48L21zdWI+PC9tYXRoPrcDM6AAAAAASUVORK5CYII=" class="Wirisformula" alt="e subscript 2 end subscript" width="18" height="14" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»e«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msub»«/math»'/> and masses <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABgAAAAOCAYAAAA1+Nx+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAAKVJREFUeNpjYECAeiAuB2JxIJ4ExC+B+DkQe0HlBYG4D4jfAfEnIK5kIBGsglpyBogjgZgFiOWB+D4QSwLxQSAOh4rLAvEPqGOIBreAeC/UpcjgKRDPxiEuSazhTED8DYi5SBQnGpgD8X4qiOMEoDCfT6G4GhDXAvEFbBaAUk0aheKLoWL/sVmwDik5UiLOgMsCUNrmoII4TguoCUYtGDgL/mPBDADrrDCCFOWg1AAAAGB0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXN1Yj48bWk+bTwvbWk+PG1uPjE8L21uPjwvbXN1Yj48L21hdGg+INxgawAAAABJRU5ErkJggg==" class="Wirisformula" alt="m subscript 1 end subscript" width="24" height="14" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»m«/mi»«/mrow»«mrow»«mn»1«/mn»«/mrow»«/msub»«/math»'/> and <img src="data:image/png;base64,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" class="Wirisformula" alt="m subscript 2 end subscript" width="24" height="14" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»m«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msub»«/math»'/> respectively are projected one after another into a region with equal initial velocity. The electric field <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAwAAAANCAYAAACdKY9CAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAFxJREFUeNpjYMAEP4D4Pxb8C4iZ0BWrAPEFBhJAABAvJUVDPRCXk6JhFdQWosEtHB6WxqYYFAJfSDHdHIj3kqIhEojnkqJhEhAnkqJhHRB7kKLhHY4QAmE2BnIBAKO5HHDhmYxNAAAASXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5FPC9taT48L21hdGg+gVtpdAAAAABJRU5ErkJggg==" class="Wirisformula" alt="E" width="12" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»E«/mi»«/math»'/> is along the <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAMCAYAAACwXJejAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAAHtJREFUeNpjYICAuUAczoAJCoC4FcaJB+IuNAVcQHwLiIVhAl5AvApNUT0Q1yILgFRfQeKLAvFdIOZAt/8bErsP6h4McBiIlaAYZAoTNkULgdgPiJcCcSwDDlAADYpLDHhAABD/h5qGE4AkjzMQANuA2BKfAh0g3oJLEgAnFhPGnhq2GgAAAEl0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+eTwvbWk+PC9tYXRoPhyYPaAAAAAASUVORK5CYII=" class="Wirisformula" alt="y" width="9" height="12" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»y«/mi»«/math»'/>-axis, while the direction of projection makes an angle a with the <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAAMCAYAAACwXJejAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAAHtJREFUeNpjYICAuUAczoAJCoC4FcaJB+IuNAVcQHwLiIVhAl5AvApNUT0Q1yILgFRfQeKLAvFdIOZAt/8bErsP6h4McBiIlaAYZAoTNkULgdgPiJcCcSwDDlAADYpLDHhAABD/h5qGE4AkjzMQANuA2BKfAh0g3oJLEgAnFhPGnhq2GgAAAEl0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+eTwvbWk+PC9tYXRoPhyYPaAAAAAASUVORK5CYII=" class="Wirisformula" alt="y" width="9" height="12" style="vertical-align:-3px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»y«/mi»«/math»'/>-axis. If the ranges of the two particles along the <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAsAAAAKCAYAAABi8KSDAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAAHFJREFUeNpjYECAZCDuYMAEzVA5DHAOiMWR+IlAPIUBB/AA4j4o2wWI9zIQALuB2B6ILwCxMCHFBUD8C4j1CCm0BuI1UKdE4lOoBMSbgJgLiHmA+AwuZ4gC8TY0SR8gXoyukA2I1wGxNBZDlkNDiHQAAJxHEBolHuC4AAAASXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT54PC9taT48L21hdGg+wQ7kJQAAAABJRU5ErkJggg==" class="Wirisformula" alt="x" width="11" height="10" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»x«/mi»«/math»'/>-axis are equal then one can conclude that <img src="data:image/png;base64,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" alt="" />

Solution for the question - two negatively charges particles having charges e_(1) and e_(2) and massesm_(1) and m_(2) respectively are projected one after anoth

Two negatively charges particles having charges e_(1) and e_(2)-Turito

If the surface is smooth, then relative acceleration between blocks is zero. So, no compression or elongation takes place in spring. Hence, spring force on blocks is zero.

Solution for the question - two blocks m_(1) and m_(2) ( m_(2) > m_(1) ) are connected with a spring offorce constant k and are inclined at a angel theta with h

Two blocks m_(1) and m_(2) ( m_(2) > m_(1) ) are connected with-Turito

The resultant force on the system is zero. So, the centre of mass of system has no acceleration

In the given figure, two bodies of mass <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABgAAAAOCAYAAAA1+Nx+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAAKVJREFUeNpjYECAeiAuB2JxIJ4ExC+B+DkQe0HlBYG4D4jfAfEnIK5kIBGsglpyBogjgZgFiOWB+D4QSwLxQSAOh4rLAvEPqGOIBreAeC/UpcjgKRDPxiEuSazhTED8DYi5SBQnGpgD8X4qiOMEoDCfT6G4GhDXAvEFbBaAUk0aheKLoWL/sVmwDik5UiLOgMsCUNrmoII4TguoCUYtGDgL/mPBDADrrDCCFOWg1AAAAGB0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXN1Yj48bWk+bTwvbWk+PG1uPjE8L21uPjwvbXN1Yj48L21hdGg+INxgawAAAABJRU5ErkJggg==" class="Wirisformula" alt="m subscript 1 end subscript" width="24" height="14" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»m«/mi»«/mrow»«mrow»«mn»1«/mn»«/mrow»«/msub»«/math»'/> and <img src="data:image/png;base64,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" class="Wirisformula" alt="m subscript 2 end subscript" width="24" height="14" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»m«/mi»«/mrow»«mrow»«mn»2«/mn»«/mrow»«/msub»«/math»'/> are connected by massless spring of force constant <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAANCAYAAACQN/8FAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAIFJREFUeNpjYEAF34CYiYEAUAHiSwxEgAAgXk6MwnogLoeyWYB4IRB7YVO4CmoqB5TtiMvEW0CsA8SbgNgclyImqI+PQxXjBCAT9gNxJBDPxacQpGA+lN0DxBm4FE4C4jQk/m4gtsamcB1aUAgC8UkglkRX+A4aLMgA5Km9WMTxAwDPrRQqsprlpQAAAEl0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+azwvbWk+PC9tYXRoPsjDLjEAAAAASUVORK5CYII=" class="Wirisformula" alt="k" width="10" height="13" style="vertical-align:-1px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«mi»k«/mi»«/math»'/> and are placed on a smooth surface (shown in figure), then <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAa8AAABXCAYAAACz3crBAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAABLwSURBVHhe7Z1BbB3FGcfHVSAJpHoxLaQVUh0cIKoqkVCHAhUQaG3EhdhQHHqgTmiofYHaEYfk0NYx6cFRVZHAybk4CRyKo+Ik9BZLxKDSHhKRcGhFRRKHqq2QKjuROBCK9Lr/yXzrz5vZ5/ee/d6bXf9/0vjtzn5vPd++nf3mm/l2pqkYYQghhJAMQeNVJWfPnjWnTp2yn1NTUy43HNauXWs2btxoHn30UftJyFLh8uXLcd3EZ4hIvcTn6tWrXS6pBBqvCjl06JDZv3+/OXfunMsJnw0bNpiBgQGzfft2l0NI/kAjcs+ePebYsWPmypUrLjdsCoWC6erqsuVGg5OUD41XmaAVh4e/z2ht3rzZbYXD5OSk25oFRgzGl55Y7Th48KDp6+tze8awetUHPPyHhobc3iwtLS3BGQUY2UuXLrm9WQYHB60epExgvEhpRkdHi1ELCU8hm7Dd399f/PDDD51EmKB8KGey7NCH1I7u7u74epPaMjMzU4waj/H1RsI+7nEcCxWUDWX0lT3kcocEa9c84AbTN1dnZ2fmbi6UF+XWetCA1Y7e3t74OpPagft6w4YN8bVGw2x8fNwdzQ4os25gQicasPlh7SoBPBd9U2X9ga8NMfQK3XPMKjRe9WHbtm3xdc76Az9piKEbKc3XogtFUsAYlwz8Rg/+zAc8oPzQA0AvBnDUh4mJCdPU1BSnffv2uSOkWhCUcfjwYbuNsVxEFWY5ag9lhw7QBUA36EhK4IwYSaC9FHS55QndhZh1bzJEfJ4X8jAWdvr0aZdDFkJLS0t8jfPUgwBdRC/oSNKh55UCwuFBoVCwEXp5AvpALyB6ktowMzNjOjo6THNzsxkbGzNtbW3uCKkWeCQSrYcIvTxFz0IX6ASgI72vdGi8PCAsXkLi0bWWt5cIoY90GUJP6Etqw6ZNm2y3IRJZHHRjEu8v5g2tU94azosJjZcH/VZ+XseFtF6hzkKQB0ZGRqzXdebMGY51LRJyv3Z2duZydgroBN0A62Y6NF4etCeS1xd6tV70vGpHe3u7NWAAxgtGjFQPXvCVIKo8v2wvukHXEKefCwEaLw9ys4Q4c8ZiIvqxciwuGOcSsN3d3W16e3vj8S8asOrR9yrmBcwrWjfWTz80XoQsIpge6ujRo27PmK1bt5oLFy7YfAADhnEw5BFCqofGi5BFBB5W8drL/zadPHnStLa2zslDQh4hpHpovAghhGQOGi9CCCGZg8aLEEJI5qDxIoQQkjlovEiwYPaPyffes8u6lwOm0/Et8ucDcjh3ueeHDGRrtYJ2JWWvFNG13PNXIktIo6DxIkEBI/HKb39rvrlmjdl0//2m/fHHza3f+pa58+67bX7S0OBB+5PubnPDihXmzvXrbcI28nAsyZE33rDnghzOLeefTx4ykEWZUDZfWfDA3/HCC/Y4yiCp7Qc/sOdJAkMIeV12fBd5SeMh1wVlSZ7bVxZ9HUVX+z+i7/vKAt1/3NFhzymyoichQVIk1yGrm+Izz4Sm58zMTPH7991XXLZ8eWr6xm23FU9NTlrZn+/Y4ZXR6elnnrGy5ZwbCecU+R+1t3tlJElZwOEjR+y+T07SurvuiuUPvPaaV0anob17rezZs2ftd30ykvC/jx0/XrY8rsXU1FRZ1xGykAuBd999N551Hdt5ZanouRCa8Ce6QESBt9snJyftDBR5nlssND3R8n/v/fftdst3vmN++dJLdn2j4ydOmBNRuvTpp/YYwHG93/Pcc1b28pUr1qM58c477ogx99xzj/386KOP7Cdm1O/52c9M55Yt1kPBuY+8+aY9BkrJ49yvvf76nP/9yMMPx+UG+D5kAc4PT0emNAI/fPBB88Ff/uL2rn3fliWSwe+hz7XlySetVyTfh95bIlnMfydl12XxyevrqMsCvVpaWmI9Aa4j7gecW+uJ8/5RvXzdKHCfPvbYY3Y7eqjndpaNpaLngrAmjMwhNI+kVoSkJzyS+Vr68ES0RyCy8DSSIM/nacGb8p07Tb6Sstxy663WA0uC7+98+WWvvHhiGuT5vLjnenq8ZYEX55OHR5UE34c3mpT1XUfI6mviK2u9WSoeyVLRcyFwzIsEAVr5wttRC983W/jayEtI8sD998erz2qQ94sdO9zeLMj3nRv5L+/c6fZmwfl98r988UWzcuVKt3eNNWvWWA8lCb7/m1/9yiu/wXl5ms2PPGKOvf22ufHGG13ONf7297+7rbnAs3r4oYfc3iw9PT1uaxaUBV5kEt91hCx+C+GVvXvdFiEB4IxYzbl48aK31Rgi9Lzqj7Tu4RX4wL2jvYtVhUK8jbGbJEn5m77+9Xjb50FUKq/HiVauWhVvyzhVEi2vx6PgkfnQ8rpcPm8K5ZPjutz4P0kq1RPosviudT2h5xUu9V7R+mt9fX2mqalp3lTtWkRYCRT9tZji39eCJURH+clYURI9VvP73/3O/OnECbsNfB5BUv4DNY505MgRtzULxsjKlUckoIyRYbzq3//8px1bAtqDFOy4l5L/5B//iMfVUE4c12h5yP33s89m5aP8pLz+nyj3ryMvD2C8CufXVHpdAMbYBF9EJiEA43R4xu/Zs6fqmfArskewYNPT08Xm5ubY0mtOnz5dbG9vLw4PD7uc+UHr7tVXXy22tLTE5xwcHHRHw6eWHklra2t8TXp7e+11lf1du3YVz58/X2xra4vzKrnulRKK56Uj73zjV0Ai/7Q3IeMx8CSSiLw+5ssTZBxIH/PlAYxrIR9JIvx0XtKDmU9e8gTsyzEZQ9PykgdQ1yRfvDJfnuC7Bml6auR8aZ5lvaiVRzIyMhKfF2lsbCyuh6izeA7quopjqKu1IoueF+67QqEQl3vbtm1Vlb1ce2THvLDSK5KP6Ecy0Q/p9koTPXjsCr04186dO+e8q5LXFYkrJbr4bsvYpTOwWKFcX7Qm1q1bZ69f9OPYvN27d89ZHyqPIMpO8I1fAYnAw3iQIF4aPInke1Ei36nGoLR88mVj8Sj0+WU7KY+IQEHOqb+X9E7Oqu+KvB4bO6ei/YDeFzktP6V0nSPrzo3WLzw8kCyL77qk6akRz0/rniewGkDUeHR7xkxMTNi6iucflq/BMjaoi6irqJ9Yk02WuSHXwH3X1dXl9ow5fPiwjZhcu3atOXTo0HU9BmmUa49KBmzg4YofDifSP2wSFAxdg/fee68tcBIsaQ0FyLUfRsAihfgxdB6MGZbR0Hl68UIYOHGdsVbUUkAbJm3ctMHQD3RdSVrUfae/qw0mkK40LZMmL/9LDARAyDlCz8GlRJeJGAQxAAAVXboarzOkzkBAXrra8ekzIPq7OqAl8qbtpw6j15R7XYTVTrc8o+ucPO90Huol6qzk6Xp5yy23xPUS20uVgYEBtzUL6u/zzz9vbQCOV9ulmLRHqcYLP0ypcS4UAH2bqFQoWKkW2Xun3p0zK0Do6c9//atZ3dyYGxCVIw38Hmj9Cfgx9X41QE/o67sO9Up73SwO8vBPog2TftCmob0RbeA02iCmGQAdCVjOWI/I6/JqkgYABg+ktUiT8j4DUo7XKmgdtG5a5zTPS4Dn5vsN65U6nnjCLFu+/Fph6gjWX0PDMo3p6emye6gqAbpCZ9+1CDHd98AD5uabb3alnwsaiAcOHDB33HGHdXYQD1EuPnvkNV5oPcBN1i0LDSobugGHhobiFmspvvjyS7dFFgJaHcVi0VYUeGwA3Rt5wRc2vpjo88/x1NQ9LAYFiNeTR7RuWuc0z4uQcrnxhhvcVjpwdmBD0Gs3H2n2aJn7nAMekBBE5IcP3PiILMEY1/79+60FLWXEnnrqabP+u991e+Hz9ltvmU8uXnR74TAyMmI/4TbDQ8NvJEasWv735VXzvbvuMk8/+6zLaRy+97iSlNtvLszxsFI8sqTnIce0F5KHbjOtg74uaR6ZZltPT9wV2Uj+869/mT+8NWYuX73qcvLNqptuNj99dqv59u23u5zweW3/AbflBz0E6D7E+Fg5DcRUe4QIDqCj4ITIDS4rosYXXahTVFgnmQ1qGYWHSBq5LpEBsnm4zpIn0YU6sgnHk8hxRN9USy31XEx09JyOdtNReckIP5+8fh9qIfISsYdoR43IJt/d8kVKAkT3IT8ZEZgW/Sfy+l24tGugZ/TQSF651yU0ahmFh2hfObfUq6hxaPejBqPd15FwOKaReiyyCyGL0YZgfHw8LncyVRJ9WI49KhmwgdY9+nrnA9ZTBuKiwtsADQ1asCHMnRcCcH8FjFmhH1cHXmAMCy0MPZblC8zAdxGRuFDPKwvg/pLxMO0NlfIYJBhCj8Vibj+hHHl9/jljYW5sCXMCiieoy5X0IMVjQfCEeDz4lN4KHTwB5Pw47pPXY1tp41VSdh1UAirRcymByEE9poI6h3ooXVWI+O3o6LD1V6J/caxUXMBSBD1xGnRJDw4OmosXL8aBfdVynT1yRsxr6RYCZtTo7++P4/5hdbNC6B4J3knBO2ILJSueFxBvBAmeGJCZKpIeENCzQiTlfTNP+GaRSJP3vYelPZ3ku2paHu+0AXg+afLaE/LJJ70j8cjg4QGUX2STXmAleoZIyB7JUve88MyXMuOZMjo66o5UTjn2yB5JvhSG/cUCDw4ogS5FKJcFQn6ooztDGy4YspMnT7q9ysiS8dIv6eIBrI2FPOA12mBAXj/8dZeZoA0GDCXOWUpeDAY+8b9kP80AVCovBgVy0L2UvDZIKLd0UyKVMqTl6BkaNF7hAgcFaaHTRJVrj/ByXiyk02K07LNKqA919PfqFgnSQipKlowX0DOcS8JDXTyrJJXK64f+fPLaGOoE4+AjTV7PlqHRxno+eXhQYtx0Ek8sSaXXJSRCfqjLLB1L1XgtBpXYo8XpI8wZIT7U0fqQwWOdYMyqJWvGC16EfkhjO+lZaHzyacYFwAiIx1OOvPZ4kLBfilrKJ40dDFSaMar0uoREqA917SlIkuCraliqxqsSuBilBwwqYkA7eqjnOtAki3oiQAKT6OITUy3pd5R81FoeQSAIwcd0SzqQIg0ERyDVQh5BHSgPAlwwnVSpMORK9QwF3KdcjJIAGi8PNF6EhAmNFxFKhsoTQgghIULjRQghJHPQeBFCCMkcNF6EEEIyB40XIYSQzEHjRQghJHPQeBFCCMkcNF6EEEIyB42Xh7VuiQq9bEQeEf1EX0JCR9+reX6xXuvG+umHxsvDxo0b3Zaxq0XnEa2X1peQkMGDXNZ2y2vdBKIbdKXx8kPj5UFPxYIF1PKI1otTz5AsIffr8ePH7dyMeQM6QTfAupkOjZcHeCIyCSoe8nmrINBHjBf0pOdFssT27dvd1vUr9+YBrZPWlcyFxiuFgYEB+4ml1/N2A0EfWVJe9CQkK3R1dcWz4A8NDeWq+xC6QCcAHaEr8UPjlQIe8OJ9wYXPS/ch9JAuCejHlh3JIknvJA+9I9BB18c8epWLCpZEIX6wnHWhUIgXhRsdHXVHsgnKL7pAr4Uu101II8GS83I/Rw2xTKwEnQbKDh1EH+hGSkPjNQ/6gY/U2dmZuUqC8qLcWo/x8XF3lJBsknzgo0GWxfsaZdaNZOhE5ofGqwySNxe2+/v7g/dcUD6UM1l2Gi6SF3wNs82bN9tGZ8iNTJQNZURZddmz2DhuFLlbSblWoaWff/65+fjjj+1nklLLrTcK3xjAqlWrzPr16+0nIXliamrKXLp0ye3NsmLFCptC4osvvrApCQI08vpOVy1eKM+d8WpqanJbhBBCQqAWZoaeV5XAA4N3g8+rV6+63HBYvny59bDgFdLTIkuJr776Kq6b8kpIaBQKhbh+Llu2zOXmF3pehBBCSATf8yKEEJI5aLwIIYRkDhovQgghmYPGixBCSOag8SKEEJI5aLwIIYRkDhovQgghmYPGKwC2bt1qOjo63B4hpN7s27fPzs6TltatW2cOHjzopEkI0Hg1mAsXLpijR4+aiYkJu00IqT+7du0y09PTbs+Y4eFhO6XR+fPnTXd3t62bfX191siRMKDxajAwXILeJoTUl+bmZrc1S2trqxkbG4uPsY6GA41Xg9FdEeyWICQ8ZmZmbAIwZiQMaLwaCFpx7e3ttlsCSBciISQMzpw5Y8ekAQwXuhdJGHBi3gaCIA1UBrTqpILAkKGbghBSfxCc4QONTIyDtbW1uRzSaOh5NQh4WTBa4nnpPnUGbhDSWJIBGwio2rRpEwM2AoLGq0HASEl3Iejt7XVbHBQmJBQkYEPGunbv3h2Pf5HGQuPVINCCQ0WQ90h0i46BG4SEBXpIBIyDkcZD49UAYJzgdaFbQiepIOg2RDcFISQMdFc+Iw7DgMarzsAowePSXYaC7jrEC5Fs4RFSP3R3oN5GXZTGJAKsaLwCIWrxkzoxPDyMyM44RZ6WO3L9MUkjIyNOghBSK9LqnyTU1bGxMSdNQoCh8oQQQjIHuw0JIYRkDhovQgghmYPGixBCSOag8SKEEJIxjPk/zo5I26W97gMAAAAASUVORK5CYII=" alt="" />

Solution for the question - in the given figure, two bodies of mass m_(1) and mz are connected bymassless spring of force constant k and are placed on a smooth

In the given figure, two bodies of mass m_(1) and mz are connec-Turito

Which of the following noble gas was reacted with <img src="data:image/png;base64,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" class="Wirisformula" alt="P t F subscript 6 end subscript" width="33" height="17" style="vertical-align:-5px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨ »«msub»«mrow»«mi»P«/mi»«mi»t«/mi»«mi»F«/mi»«/mrow»«mrow»«mn»6«/mn»«/mrow»«/msub»«/math»'/> by Bartlett to prepare the first noble gas compounds -

Solution for the question - which of the following noble gas was reacted with ptf_(6) by bartlett toprepare the first noble gas compounds - kr