Question

$A, B$ and $C$ are three voltmeters of resistances $4000 \, \Omega , 6000 \Omega$ and $12000 \Omega$. When a potential difference? is applied between $X$ and $Y$, voltmeter readings are $V_A, V_B$ and $V_C$. Then

• A. $V_A = V_B = V_C$.
• B. $V_A = 1.5 , V_B = 3 , V_C$.
• C. $3 V_A = 2 V_B = V_C$.
• D. $2 V_A = V_B = V_C$.

Answer 1

Answer: (A)

$V_A = V_B = V_C$.

Answer 2

$6000 \, \Omega$ and $12000 \, \Omega$ are in parallel,
So, $R_{PY} = \frac{6000 \times 12000}{6000 + 12000} = 4000 \Omega$
Here, $R_{XP} = R_{PY}$
So, $V_{XP} = V_{PY} = \frac{V}{2}$
Hence, $V_A = V_B = V_C$