Verified Solution • 2025–26 Session
moderate
QNEET-2024-Ph-151: NEET 2024 Physics - Class 11 NEET-2024-Ph-151 Solution: In an electrical circuit the voltage is measured as \(V=(200…
In an electrical circuit the voltage is measured as and the current is measured as . The value of the resistance is:
Multiple Choice Options
- A ( 10 � 4.2 ) �
- B ( 10 � 0.3 ) �
- C ( 10 � 0.1 ) �
- D ( 10 � 0.8 ) �
Step-by-Step Verified Solution
To determine the resistance R using Ohm's law, we use the formula:
R = V I
Given:
V = ( 200 � 4 ) volts
I = ( 20 � 0.2 ) amperes
First, calculate the nominal value of the resistance:
R = 200 20 = 10 �
Next, we need to calculate the uncertainty in the resistance. For division, the relative uncertainties add up. The relative uncertainty for voltage is:
_ V V = 4 200 = 0.02
and for current:
_ I I = 0.2 20 = 0.01
Adding these relative uncertainties gives us the relative uncertainty for the resistance:
_ R R = _ V V + _ I I = 0.02 + 0.01 = 0.03
Now, we calculate the absolute uncertainty for the resistance:
_ R = R _ 0.03 = 10 _ 0.03 = 0.3 �
Therefore, the resistance with its uncertainty is:
R = 10 � 0.3 �
Thus, the correct answer is:
Option B ( 10 � 0.3 ) �