question_answer

Directions: Two capacitors of capacity 6\[\mu F\]and 3\[\mu F\]are charged to 100 V and 50 V separately and connected as shown. Now all the three switches \[{{S}_{1}},{{S}_{2}}\]and\[{{S}_{3}}\]are closed.

Suppose \[{{q}_{1}},{{q}_{2}}\]and \[{{q}_{3}}\] be the magnitudes of charges flown from switches \[{{S}_{1}},{{S}_{2}}\]and \[{{S}_{3}}\] after they are closed. Then

A)  \[{{q}_{1}}={{q}_{3}}\]and \[{{q}_{2}}=0\]    

B)  \[{{q}_{1}}={{q}_{3}}=\frac{{{q}_{2}}}{2}\]

C)  \[{{q}_{1}}={{q}_{3}}=2{{q}_{2}}\]               

D)  \[{{q}_{1}}={{q}_{2}}={{q}_{3}}\]