A brass sphere having a positive charge of 1.7 x 10^ -8 c is made to touch another sphere of the same redius having a negative charge of 3 x 10 ^ -9 c. Find the force between them when they are separated bya dist of 20.cm 

 

An electron is revolving around a long line charge density 2 x 10 ^ -8 Find the KE of the elestron assuming that it is independent of the radius of electron's orbit.  

 

_{[ x][0 ]}  (sin^-1x -2x) / sin ^-1 x -2sin(1/2sin ^-1 x){3 - 4sin ² ( 1/2sin ^-1 x)}    

 

 

_{[ x][ 0]}  8 (1 - cosx²/2 -cosx²/4 + cosx²/2.cosx²/4) /x⁸

 

 

limxa  sin^-1x -sin^-1a / x - a

limx/6  sin(x-/6) / 3  - 2cosx  (root sign is only for 3)

 

Two identical spheres having charges of opposite sign attract each other with a force of 0.108n when separated by 0.5 m . The spheres are connected by a conducting wire, which when removed and thereafter they repel each other with a force of 0.036 N. What were the initial charges on the spheres?

 

27 drops of mercury are charged simultaneously to the same potential of 10 V . What will be the potential if all the charged drops are made to combine to form one large drop? Assume the dorps to be spherical. 

 

A cube of side b has a charge q at each of its vertices. Determine the electric field due to theis charge array at the centre of the cube

 

2 particles have equal masses of 5.0 g each ans opposite charges of 4 * 10-5 & -4 * 10-5 . they are released from rest witha a separation of 1m between them . Find the speeds of the paricles when the separation is reduced to 50cm.

 

ABC is a rt. angled triangle, where AB & BC are 25 cm and 60 cm respectively a metal sphere of 2 cm radius charged to a potential of 9 * 10 ^5 V is placed at B Find the amt. of work done in Carrying a +ve charge of 1C from C toA

 

3 concentric metallic shells A B C of radii a< b<  c  have surface charge densities +  - & +  respectively

1. Find the potentialof 3 shells A B C

2. If shells A & C are at the same potential , obtain the relation between radii a b c

 

 

1.Which of the following has the highest nucleophilicity?

a.F    b.OH   c.CH3   d. NH2

 

2.Arrange the following options in the increasing order of their neucleophilicity

 

3.the addition of the carbonoyl compound to HCN is an example of

a. Nucleophilic substitution

b.  '   '   '   '        addition

c. Electophilic addition

d.  "  "    '   "    substitution

 

4.C3H9N cannot represent

a. 1 degree amine  b. 2 amine

c.  3  amine           d. quaternary salt

 

5.The most reactive nucleophile among the following is

a. CH3O     b.  C6H5O

c. (CH3)2CHO  d.   (CH3)3CO

tan^-1 ( 3 sin2/5+3cos2 )  + tan^-1 tan /4

-/2 <    < /2