A galvanometer having a coil resistance of \(100~\Omega\) gives a full-scale deflection when a current of \(1~\text{mA}\) is passed through it. The value of the resistance which can convert this galvanometer into an ammeter giving a full-scale deflection for a current of \(10~\text{A}\), is:
1. \(0.01~\Omega\)
2. \(2~\Omega\)
3. \(0.1~\Omega\)
4. \(3~\Omega\)

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A galvanometer with a coil resistance of \(25~\Omega\) requires a current of \(1~\text{mA}\) for full-scale deflection. To construct an ammeter that can measure up to \(2~\text A,\) what should be the approximate value of the shunt resistance?
1. \(1.25 Ɨ 10^{–2}~\Omega\)
2. \(2.5 Ɨ 10^{–3}~\Omega\)
3. \(2.5 Ɨ 10^{–2}~\Omega\)
4. \(1.25 Ɨ 10^{–3}~\Omega\)
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A moving coil galvanometer with a resistance of \(50~\Omega\) shows full deflection at a current of \(4~\text{mA}.\) When this galvanometer is used to construct a voltmeter with a series resistance of \(5~\text{k}\Omega,\) the maximum voltage that can be measured by the voltmeter is close to:
1. \(40~\text{V}\)
2. \(10~\text{V}\)
3. \(15~\text{V}\)
4. \(20~\text{V}\)
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A galvanometer has a resistance of \(100~\Omega,\) a full-scale deflection of \(50\) divisions, and a current sensitivity of \(20~\mu\text{A/division}.\) It is to be converted into a voltmeter with three ranges: \(0\text-2~\text{V},~0\text{-}10~\text{V}~\text{and}~0\text{-}20~\text{V}.\) Which of the following circuits is appropriate to achieve these voltage ranges?

1.  
2.  
3.  
4.  
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A moving coil galvanometer, having a resistance \(G\), produces full scale deflection when a current \(I_g\) flows through it. This galvanometer can be converted into (i) an ammeter of range \(0\) to \(I_0\) (\(I_0>I_g\)) by connecting a shunt resistance \(R_A\) to it and (ii) into a voltmeter of range 0 to \(V (V=GI_0)\) by connecting a series resistance \(R_V\) to it. Then,

1. \(R_AR_V=G^2 \text{ and } \frac{R_A}{R_V}=\frac{I_g}{I_0-I_g}\)
2. \(R_AR_V=G^2\left(\frac{I_g}{I_0-I_g}\right) \text{ and } \frac{R_A}{R_V}=\left(\frac{I_0-I_g}{I_g}\right)^2\)
3. \(R_AR_V=G^2\left(\frac{I_g}{I_0-I_g}\right) \text{ and } \frac{R_A}{R_V}=\left(\frac{I_g}{I_0-I_g}\right)^2\)
4. \(R_AR_V=G^2 \text{ and } \frac{R_A}{R_V}=\left(\frac{I_g}{I_0-I_g}\right)^2\)
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Which of the following will NOT be observed when a multimeter (operating in resistance measuring mode) probes connected across a component, are just reversed?

1. Multimeter shows an equal deflection in both cases i.e. before and after reversing the probes if the chosen component is resistor.
2. Multimeter shows NO deflection in both cases i.e. before and after reversing the probes if the chosen component is metal wire.
3. Multimeter shows a deflection, accompanied by a splash of light out of connected component in one direction and NO deflection on reversing the probes if the chosen component is LED.
4. Multimeter shows NO deflection in both cases i.e. before and after reversing the probes if the chosen component is capacitor.

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A galvanometer of resistance \(G\) is converted into a voltmeter of range \(0\text-1\) V by connecting a resistance \(R_1\) in series with it. The additional resistance that should be connected in series with \(R_1\) to increase the range of the voltmeter to \(0\text-2\) V will be:
1. \(R_1\)
2. \(R_1+G\)
3. \(R_1-G\)
4. \(G\)

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In a moving coil galvanometer, two moving coils \(š‘€_1\) and \(š‘€_2\) have the following particulars:
\( R_1=5~ \Omega, N_1=15, A_1=3.6 \times 10^{-3} ~\text{m}^2, B_1=0.25 ~\text{T} \)
\(R_2=7 ~\Omega, N_2=21, A_2=1.8 \times 10^{-3} ~\text{m}^2, B_2=0.50 ~\text{T} \)
Assuming that torsional constant of the springs are same for both coils, what will be the ratio of voltage sensitivity of \(M_1\) and \(M_2\)?
1. \(1:3\)
2. \(1:2\)
3. \(1:4\)
4. \(1:1\)
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In laboratory experiments, a galvanometer is often used to detect the null point. The figure of merit of a galvanometer is a measure of its sensitivity, defined as the current required to produce a unit deflection (usually \(1\) division on the scale). If a galvanometer produces a deflection of \(2^\circ,\) when a current of \(6~\text{mA}\) is passed through it, what is its figure of merit?
1. \( 3 \times 10^{-3} ~\text{A/div}\)
2. \( 333^{\circ} ~\text{A/div}\)
3. \( 6 \times 10^{-3} ~\text{A/div}\)
4. \( 666^{\circ} ~\text{A/div}\)

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A galvanometer having a coil of resistance \(30~\Omega\) need \(20~\text{mA}\) of current for full-scale deflection. A maximum current of \(3~\text A\) is to be measured using this galvanometer. The resistance of the shunt to be added to the galvanometer should be \(\dfrac{30}{X}~\Omega,\), where \(X\) is.
1. \(149\)
2. \(298\)
3. \(596\)
4. \(447\)
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