Current Electricity · JEE Main previous year questions

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2024 66 questions

Q492024 · 8 Apr 2024 · Shift 2
A coil of negligible resistance is connected in series with $90 Ω$ resistor across $120 V$ , $60 Hz$ supply. A voltmeter reads $36 V$ across resistance. Inductance of the coil is :
1. A. $0.91 H$
2. B. $0.76 H$
3. C. $2.86 H$
4. D. $0.286 H$
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Answer: B
Q572024 · 8 Apr 2024 · Shift 2· Numerical answer
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Answer: 5
Q532024 · 6 Apr 2024 · Shift 2· Numerical answer
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Answer: 160
Q442024 · 5 Apr 2024 · Shift 2
1. A. $4 : 1$
2. B. $2 : 1$
3. C. $1 : 2$
4. D. $1 : 1$
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Answer: B
Q452024 · 5 Apr 2024 · Shift 2
1. A. $A = 0$ , $B = 0$
2. B. $A = 0$ , $B = 1$
3. C. $A = 1$ , $B = 0$
4. D. $A = 1$ , $B = 1$
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Answer: A
Q482024 · 5 Apr 2024 · Shift 2
A galvanometer of resistance $100Ω$ when connected in series with $400Ω$ measures a voltage of upto $10 V$ . The value of resistance required to convert the galvanometer into ammeter to read upto $10 A$ is $x \times 1 0^{- 2} Ω$ . The value of $x$ is :
1. A.2
2. B.20
3. C.800
4. D.200
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Answer: B
Q552024 · 5 Apr 2024 · Shift 2· Numerical answer
A wire of resistance $20Ω$ is divided into 10 equal parts, resulting pairs. A combination of two parts are connected in parallel and so on. Now resulting pairs of parallel combination are connected in series. The equivalent resistance of final combination is ____ $Ω$ .
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Answer: 5
Q462024 · 4 Apr 2024 · Shift 1
The resistances of the platinum wire of a platinum resistance thermometer at the ice point and steam point are $8 Ω$ and $10 Ω$ respectively. After inserting in a hot bath of temperature $40 0^{\circ} C$ , the resistance of platinum wire is :
1. A. $10 Ω$
2. B. $16 Ω$
3. C. $8 Ω$
4. D. $2 Ω$
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Answer: B
Q472024 · 4 Apr 2024 · Shift 1
1. A. $(30/11) Ω$
2. B. $6Ω$
3. C. $(5/2) Ω$
4. D. $(15/4) Ω$
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Answer: B
Q492024 · 4 Apr 2024 · Shift 1
To measure the internal resistance of a battery, potentiometer is used. For $R = 10Ω$ , the balance point is observed at $l = 500 cm$ and for $R = 1Ω$ the balance point is observed at $l = 400 cm$ . The internal resistance of the battery is approximately :
1. A. $0.1Ω$
2. B. $0.3Ω$
3. C. $0.2Ω$
4. D. $0.4Ω$
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Answer: B
Q592024 · 4 Apr 2024 · Shift 1· Numerical answer
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Answer: 1
Q342024 · 4 Apr 2024 · Shift 2
1. A.
2. B.
3. C.
4. D.
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Answer: D
Q582024 · 4 Apr 2024 · Shift 2· Numerical answer
Two wires $A$ and $B$ are made up of the same material and have the same mass. Wire $A$ has radius of $2.0 mm$ and wire $B$ has radius of $4.0 mm$ . The resistance of wire $B$ is $2Ω$ . The resistance of wire $A$ is ________ $Ω$ .
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Answer: 32
Q382024 · 1 Feb 2024 · Shift 1
1. A. $3 V$
2. B. $10 V$
3. C. $5 V$
4. D. $0 V$
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Answer: D
Q392024 · 1 Feb 2024 · Shift 1
A galvanometer has a resistance of $50 Ω$ and it allows maximum current of $5 mA$ . It can be converted into voltmeter to measure up to $100 V$ by connecting in series a resistor of resistance :
1. A. $19500Ω$
2. B. $5975Ω$
3. C. $20050Ω$
4. D. $19950Ω$
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Answer: D
Q432024 · 1 Feb 2024 · Shift 1
The radius $(r)$ , length $(l)$ and resistance $(R)$ of a metal wire was measured in the laboratory as $r = (0.35 \pm 0.05) cm$ $R = (100 \pm 10) ohm$ $l = (15 \pm 0.2) cm$ The percentage error in resistivity of the material of the wire is :
1. A. $37.3%$
2. B. $25.6%$
3. C. $35.6%$
4. D. $39.9%$
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Answer: D
Q502024 · 1 Feb 2024 · Shift 1
1. A. $10 kΩ$
2. B. $10Ω$
3. C. $1 kΩ$
4. D. $\frac{3}{7} kΩ < R_{s} < \frac{3}{5} kΩ$
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Answer: D
Q512024 · 1 Feb 2024 · Shift 1· Numerical answer
A rectangular loop of sides $12 cm$ and $5 cm$ , with its sides parallel to the $x$ -axis and $y$ -axis respectively, moves with a velocity of $5 cm/s$ in the positive $x$ axis direction, in a space containing a variable magnetic field in the positive $z$ direction. The field has a gradient of $1 0^{- 3} T/cm$ along the negative $x$ direction and it is decreasing with time at the rate of $1 0^{- 3} T/s$ . If the resistance of the loop is $6 mΩ$ , the power dissipated by the loop as heat is ____ $\times 1 0^{- 9} W$ .
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Answer: 216
Q352024 · 1 Feb 2024 · Shift 2
1. A.1
2. B. $\frac{2}{3}$
3. C. $\frac{3}{2}$
4. D. $\frac{1}{2}$
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Answer: D
Q392024 · 1 Feb 2024 · Shift 2
In a metre-bridge when a resistance in the left gap is $2Ω$ and unknown resistance in the right gap, the balance length is found to be $40 cm$ . On shunting the unknown resistance with $2Ω$ , the balance length changes by :
1. A. $62.5 cm$
2. B. $22.5 cm$
3. C. $20 cm$
4. D. $65 cm$
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Answer: B
Q462024 · 1 Feb 2024 · Shift 2
1. A. $- 1 \times 1 0^{- 2}^{\circ} C^{- 1}$
2. B. $- 2 \times 1 0^{- 2}^{\circ} C^{- 1}$
3. C. $- 2.5 \times 1 0^{- 2}^{\circ} C^{- 1}$
4. D. $- 1.5 \times 1 0^{- 2}^{\circ} C^{- 1}$
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Answer: A
Q492024 · 1 Feb 2024 · Shift 2
In an ammeter, $5%$ of the main current passes through the galvanometer. If resistance of the galvanometer is $G$ , the resistance of ammeter will be :
1. A. $199 G$
2. B. $200 G$
3. C. $\frac{G}{20}$
4. D. $\frac{G}{199}$
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Answer: C
Q452024 · 31 Jan 2024 · Shift 1
Two conductors have the same resistances at $0^{\circ} C$ but their temperature coefficients of resistance are $α_{1}$ and $α_{2}$ . The respective temperature coefficients for their series and parallel combinations are :
1. A. $α_{1} + α_{2}, \frac{α _{1} α _{2}}{α _{1} + α _{2}}$
2. B. $\frac{α _{1} + α _{2}}{2}, \frac{α _{1} + α _{2}}{2}$
3. C. $α_{1} + α_{2}, \frac{α _{1} + α _{2}}{2}$
4. D. $\frac{α _{1} + α _{2}}{2}, α_{1} + α_{2}$
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Answer: B
Q462024 · 31 Jan 2024 · Shift 1
If the percentage errors in measuring the length and the diameter of a wire are $0.1%$ each. The percentage error in measuring its resistance will be:
1. A.0.144%
2. B.0.2%
3. C.0.1%
4. D.0.3%
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Answer: D
Q502024 · 31 Jan 2024 · Shift 1
1. A.AND
2. B.NOR
3. C.OR
4. D.NAND
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Answer: C