Physics-
General
Easy

Question

The diagram shows three infinitely long uniform line charges placed on the X, Y and Z axis. The work done in moving a unit positive charge from (1, 1, 1) to (0, 1, 1) is equal to

  1. left parenthesis lambda l n invisible function application 2 right parenthesis divided by 2 pi epsilon subscript 0 end subscript    
  2. left parenthesis lambda l n invisible function application 2 right parenthesis divided by pi epsilon subscript 0 end subscript    
  3. left parenthesis 3 lambda l n invisible function application 2 right parenthesis divided by 2 pi epsilon subscript 0 end subscript    
  4. None    

The correct answer is: left parenthesis lambda l n invisible function application 2 right parenthesis divided by pi epsilon subscript 0 end subscript

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All the boron trihalides except B may be prepared by direct reaction between the elements Boron trihalides consist of trigonal - planar BX3 molecules Unlike the halides of the other elements in the group they are monomeric in the gas, liquid and Sol. id states, BF3 and BCl3 are gases, BBr3 3Iis a volatile liquid and B is a Sol. Id Boron trihalides are Lewis acids because they form simple Lewis complexes with suitable bases, as in the reaction : B F subscript 3 end subscript left parenthesis g right parenthesis plus colon N H subscript 3 end subscript left parenthesis g right parenthesis ⟶ F subscript 3 end subscript B minus N H subscript 3 end subscript left parenthesis s right parenthesis However, boron chlorides, bromides and iodides are susceptible (sensitive) to protoly sis by mild proton sources such as water, alcohols and even amines; for example BCl3 undergoes rapid hydrolysis: B C l subscript 3 end subscript left parenthesis g right parenthesis plus 3 H subscript 2 end subscript O left parenthesis l right parenthesis ⟶ B left parenthesis O H right parenthesis subscript 3 end subscript left parenthesis a q right parenthesis plus 3 H C l left parenthesis a q right parenthesis It is supposed that the first step in the above reaction is the formation of the complex C l subscript 3 end subscript B leftwards arrow O H subscript 2 end subscript which then eliminates HCl and reacts further with water
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All the boron trihalides except B may be prepared by direct reaction between the elements Boron trihalides consist of trigonal - planar BX3 molecules Unlike the halides of the other elements in the group they are monomeric in the gas, liquid and Sol. id states, BF3 and BCl3 are gases, BBr3 3Iis a volatile liquid and B is a Sol. Id Boron trihalides are Lewis acids because they form simple Lewis complexes with suitable bases, as in the reaction : B F subscript 3 end subscript left parenthesis g right parenthesis plus colon N H subscript 3 end subscript left parenthesis g right parenthesis ⟶ F subscript 3 end subscript B minus N H subscript 3 end subscript left parenthesis s right parenthesis However, boron chlorides, bromides and iodides are susceptible (sensitive) to protoly sis by mild proton sources such as water, alcohols and even amines; for example BCl3 undergoes rapid hydrolysis: B C l subscript 3 end subscript left parenthesis g right parenthesis plus 3 H subscript 2 end subscript O left parenthesis l right parenthesis ⟶ B left parenthesis O H right parenthesis subscript 3 end subscript left parenthesis a q right parenthesis plus 3 H C l left parenthesis a q right parenthesis It is supposed that the first step in the above reaction is the formation of the complex C l subscript 3 end subscript B leftwards arrow O H subscript 2 end subscript which then eliminates HCl and reacts further with water
Which of the following is the correct prediction about observed B–X bond length, in BX3 molecules ?

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