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33 Years NEET-AIPMT Chapterwise Solutions - Physics 2020

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50 NEET-AIPMT Chapterwise Topicwise Solutions Physics

73. (c) : Here, resistance of the galvanometer = G

Current through the galvanometer,

IG = 02 I = 02 .

I = 1

. % of

I

100 500

\ Current through the shunt,

1 499

IS

= I− IG

= I− I = I

500 500

As shunt and galvanometer are in parallel

\ I G G = I S S

⎛ 1 ⎞ 499

G

I G S S

500 ⎠

⎟ = ⎛ ⎝ ⎜ ⎞

500 ⎠

⎟ or =

499

Resistance of the ammeter R A is

1 1 1 1 1 500

= + = + =

RA

G S G G G

499

RA = 1 G

500

Vg

74. (a) : S =

( I − Ig

)

Neglecting I g

V

−3 g 25 × 10 V

∴ S = =

= 0. 001Ω

I 25 A

75. (d) : Let resistance R is to be put in series with

galvanometer G to keep the main current in the circuit

unchanged.

GS

∴ + R=

G

G + S

2

2

GS G + GS−GS

G

R= G− ⇒ R =

=

G + S

G+

S G+

S

76. (a) : Here, Resistance of galvanometer,

G = 100 W

Current for full scale deflection, I g = 30 mA

= 30 × 10 –3 A

Range of voltmeter, V = 30 V

To convert the galvanometer into an voltmeter of a given

range, a resistance R is connected in series with it as shown

in the figure.

From figure, V = I g (G + R)

or R = V −G

Ig

30

= − 100 Ω= 1000 − 100 = 900 Ω

−3

30 × 10

77. (c) : iG = (I – i)S where G is the galvanometer

resistance and S is the shunt used with the ammeter.

1.0 × 60 = (5 – 1)S where S is the shunt used to read a 5 A

current when the galvanometer can stand by 1 A.

10 . × 60

S = = 15 Ω in parallel.

4

78. (b) : Total initial resistance

= R G + R 1 = (50 + 2950) W = 3000 W

e = 3 V

3V

∴ Current = = 1× 10 −3

A=1mA

3000 Ω

vvv

If the deflection has to be reduced to 20 divisions, current

2

i = 1 mA × as the full deflection scale for 1 mA = 30

3

divisions.

2

3 V= 3000 Ω× 1 mA =xΩ×

mA

3

⇒ x = 3000 × 1 × 3 = 4500 Ω

2

But the galvanometer resistance = 50 W

Therefore the resistance to be added

= (4500 – 50)W = 4450 W.

79. (a) : Let the shunt resistance be S.

Given: I = 750 A,

I g = 100 A, R G = 13 W

From the figure,

I g R G = (I – I g )S

or 100 × 13 = [750 – 100]S

or 1300 = 650 S

\ S = 1300/650 = 2 W

80. (d) : The total current shown by the galvanometer is

25 × 4 × 10 –4 A.

\ I g = 10 –2 A

The value of resistance connected in series to convert

galvanometer into voltmeter of 25 V is

R

V 25

= − G = − 50 = 2450 Ω.

I

−2

g 10

81. (a) : Voltmeter is used to measure the potential

difference across a resistance and it is connected in

parallel with the circuit. A high resistance is connected

to the galvanometer in series so that only a small fraction

(I g ) of the main circuit current (I) passes through it.

If a considerable amount of current is allowed to pass

through the voltmeter, then the reading obtained by

this voltmeter will not be close to the actual potential

difference between the same two points.

82. (b) : The shunt and galvanometer are in parallel.

1 1 1 18

Therefore, = + or R q =

R eq 9 2 e Ω

11

Using Ohm’s law, V = IR eq = 1 × 18 18

11

= 11

V.

\ Current through shunt = V R s

18 / 11 9

= =

2 11 08 . amp

83. (a) : To convert a galvanometer into ammeter, one

needs to connect a low resistance in parallel so that

maximum current passes through the shunt wire and

ammeter remains protected.

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