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Section:
Physics
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© examsnet.com
Question : 8
Total: 29
Two identical moving coil galvanometers have 10Ω resistance and full scale deflection at 2µA current. One of them is converted into a voltmeter of 100mV full scale reading and the order into an Ammeter of 1mA full scale current using appropriate resistors. These are then used to measure the voltage and current in the Ohm’s law experiment with R=1000Ω resistor by using an ideal cell. Which of the following statement(s) is/are correct?
[JEE Adv 2019 P1]
If the ideal cell is replaced by a cell having internal resistance of 5Ω then the measured value of R will be more than 1000Ω
The measured value of R will be 978Ω < R < 982Ω
The resistance of the Voltmeter will be 100kΩ
The resistance of the Ammeter will be 0.02Ω(round off to 2nd decimal place)
Validate
Solution:
Option 4 :
(
I
g
)
G
=
(
I
)
(
R
A
)
(
2
×
10
−
6
)
10
=
(
1
×
10
−
3
)
R
A
∴Resistance of ammeter
R
A
=
0.02
Ω
(4) is correct
Option 3:
V
=
(
I
g
)
.
R
V
∴
R
V
=
‌
‌
V
I
g
=
‌
‌
10
−
1
2
×
10
−
6
=
5
×
10
4
Ω
=
50
k
Ω
∴ (3) is wrong
Option 2:
R
1
=
‌
‌
R
â‹…
R
V
R
+
R
V
,
R
2
=
R
A
Reading of ammeter = I
Reading of voltmeter V = IR
Measured value of resistance is
R
m
=
‌
‌
V
I
=
R
1
=
‌
‌
R
.
R
V
R
+
R
V
=
‌
‌
10
3
×
5
×
10
4
10
3
+
5
×
10
4
=
‌
‌
5
×
10
4
M
=
980.4
Ω
∴ (2) is correct
Option 1: measured value of R depends on R and
R
V
only, but independent of
R
A
, r values.
∴ Measured value of resistance will again be 980.4Ω only
© examsnet.com
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