Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
Home  >>  JEEMAIN and AIPMT  >>  Physics  >>  Class12  >>  Current Electricity
0 votes

Two bulbs consume same power when operated at $200V\: and\: 300V$ respectively. When these bulbs are connected in series across a $DC$ supply of $500V$, then consider the following statements

$\begin {array} {1 1} (1)\;\text{Ratio of potential difference across them is} \large\frac{3}{2}\\(2)\;\text{Ratio of potential difference across them is} \large\frac{4}{9} \\ (3)\;\text{Ratio of power consumed across them is } \large\frac{4}{9}\\ (4)\;\text{Ratio of power consumed across them is} \large\frac{3}{2} \end {array}$


Which of the above statements are true:

$\begin {array} {1 1} (A)\;1\: and \: 3 & \quad (B)\;1\: and \: 4 \\ (C)\;2\: and \: 3 & \quad (D)\;2\: and \: 4 \end {array}$


Can you answer this question?

1 Answer

0 votes
In the first case when both bulbs consume same powerwhen operated at 200V and 300V respectively, we have
When connected in series, the potential drop is in the ratio of the resistances
$ P = \large\frac{V_1 ^ 2}{R_1} = \frac{V_2 ^ 2}{R_2}$
$\large\frac{R_1}{R_2} =\frac{ V_1 ^ 2}{V_2 ^ 2}$
$\qquad =\large\frac{4}{9}$
Ans : (C)
answered Feb 16, 2014 by thanvigandhi_1
edited Sep 11, 2014 by meena.p

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App