Current Electricity PYQs Set 19 (PDF)

Set 19 of 25 · Questions 541-570 of 723

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Mere Teacher · Previous Year Questions JEE Main Physics · Current Electricity · Set 19 (Q541-570)
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541. $Two resistors of resistances 2Ω and 6Ω are connected in parallel. This combination is then connected to a battery of emf 2 V and internal resistance 0.5Ω . What is the current flowing through the battery?$ (1) $\frac{4}{17} A$ (2) $4 A$ (3) $1 A$ (4) $\frac{4}{3} A$ 542. $In the following network potential at O$ (1) $4 V$ (2) $3 V$ (3) $6 V$ (4) $4.8 V$ 543. $Three resistors 1Ω, 2Ω and 3Ω are connected to form a triangle. Across 3Ω resistor a 3 V battery is connected. The current through 3Ω resistor is$ (1) $0.75 A$ (2) $1 A$ (3) $2 A$ (4) $1.5 A$ 544. $In the circuit shown, the current in the 1Ω resistor is:$ (1) $1.3 A, from P to Q$ (2) $0 A$ (3) $0.13 A, from Q to P$ (4) $0.13 A, from P to Q$ 545. $A 12 cm wire is given a shape of a right-angled triangle ABC having sides 3 cm, 4 cm and 5 cm as shown in the figure. The resistance between two ends (AB, BC, CA) of the respective sides are measured one by one by a multimeter. The resistances will be in the ratio$ (1) $9: 16: 25$ (2) $27: 32: 35$ (3) $21 : 24 : 25$ (4) $3 : 4: 5$ 546. $A regular hexagon is formed by six wires each of resistance rΩ and the corners are joined to the centre by wires of same resistance. If the current enters at one corner and leaves at the opposite corner, the equivalent resistance of the hexagon between the two opposite corners will be$ (1) $\frac{3}{4} r$ (2) $\frac{4}{5} r$ (3) $\frac{3}{5} r$ (4) $\frac{5}{8} r$ 547. $Each of the six ideal batteries of emf 20 V is connected to an external resistance of 4Ω as shown in the figure. The current through the resistance is$ (1) $6 A$ (2) $3 A$ (3) $4 A$ (4) $None$ 548. $A uniform metallic wire has a resistance of 18Ω and isbent into an equilateral triangle. Then, the resistancebetween any two vertices of the triangle is:$ (1) $4Ω$ (2) $8Ω$ (3) $12 W$ (4) $2 W$ 549. $Two resistors 2Ω and 3Ω are connected in the gaps of bridge as shown in figure. The null point is obtained with the contact of jockey at some point on wire XY . When an unknown resistor is connected in parallel with 3Ω resistor, the null point is shifted by 22.5 cm toward Y . The resistance of unknown resistor is____Ω .$ (1) $2$ (2) $1$ (3) $4$ (4) $3$ 550. $The power dissipated in 3Ω resistance in the following circuit is$ (1) $1 W$ (2) $0, 5 W$ (3) $0.25 W$ (4) $0.75 W$ 551. $The resistance of a wire is 5 Ω . It's new resistance in ohm if stretched to 5 times of it's original length will be:$ (1) $625$ (2) $5$ (3) $125$ (4) $25$ 552. $For designing a voltmeter of range 50 V and an ammeter of range 10 mA using a galvanometer which has a coil of resistance 54Ω showing a full scale deflection for 1 mA as in figure. (A) for voltmeter R \approx 50 kΩ (B) for ammeter r\approx0.2Ω (C) for ammeter r\approx6Ω (D) for voltmeter R \approx 5 kΩ (E) for voltmeter R\approx500Ω Choose the correct answer from the options given below:$ (1) $(A) and (C)$ (2) $(C) and (E)$ (3) $(C) and (D)$ (4) $(A) and (B)$ 553. $Two batteries with e.m.f 12V and 13V are connected in parallel across a load resistor of 10Ω. The internal resistance of the two batteries are 1Ω and 2Ω respectively. The voltage across the load lies between:$ (1) $11.4V and 11.5 V$ (2) $11.7V and 11.8V$ (3) $11.6V and 11.7V$ (4) $11.5V and 11.6V$ 554. $The resistance of the meter bridge AB in given figure is 4Ω . With a cell of emf ϵ = 0.5 V and rheostat resistance R_{b} = 2Ω the null point is obtained at some point J . When the cell is replaced by another one of emf ϵ = ϵ_{2} the same null point J is found for R_{h} = 6Ω . The emf ϵ_{2} is:$ (1) $0.4 V$ (2) $0.3 V$ (3) $0.6 V$ (4) $0.5 V$ 555. $A filament bulb (500 W, 100 V) is to be used in a 230 V main supply. When a resistance R is connected in series, it works perfectly, and the bulb consumes 500 W The value of R is$ (1) $230Ω$ (2) $46Ω$ (3) $26Ω$ (4) $13Ω$ 556. $A wire of resistance 12 ohms per meter is bent to form a complete circle of radius 10 cm . The resistance between its two diametrically opposite points, A and B as shown in the figure is$ (1) $3 Ω$ (2) $6 πΩ$ (3) $6 Ω$ (4) $0.6 πΩ$ 557. $The terminal voltage of the battery, whose emf is 10 V and internal resistance 1Ω, when connected through an external resistance of 4Ω as shown in the figure is [NEET 2024]$ (1) $4 V$ (2) $6 V$ (3) $8 V$ (4) $10 V$ 558. $In the experimental set up of meter bridge shown in the figure, the null point is obtained at a distance of 40 cm from A. If a 10Ω resistor is connected in series with R_{1}, the null point shifts by 10 cm. The resistance that should be connected in parallel with (R_{1} + 10) Ω such that the null point shifts back to its initial position is:$ (1) $60$ (2) $30$ (3) $20$ (4) $40$ 559. $The length of a potentiometer wires is l. A cell of emf E is balanced at a length (\frac{l}{3}) from positive end of the wire. If the length of the wire is increased by (\frac{l}{2}), the distance at which the same cell gives the balancing point is (Cell in the primary is ideal and no series resistance is present in the primary circuit.)$ (1) $\frac{2 l}{3}$ (2) $\frac{l}{2}$ (3) $\frac{l}{6}$ (4) $\frac{4 l}{3}$ 560. $In the circuit shown in the figure, if potential at point A is taken to be zero the potential at point B is:$ (1) $-1V$ (2) $+ 2V$ (3) $- 2V$ (4) $+ 1V$ 561. $In the given figure: V_{1} = V, V_{2} = αV, R_{1} = βR, R_{2} = γR, where α, β, and γ are positive real numbers. The value of current I is$ (1) $\frac{( α - 1 ) γ}{4 β ( β + γ )} \frac{V}{R}$ (2) $\frac{( α - 1 )}{4 β} \frac{V}{R}$ (3) $\frac{( α - 1 ) β}{2 γ ( β + γ )} \frac{V}{R}$ (4) $\frac{( α - 1 ) ( β + γ )}{2 βγ} \frac{V}{R}$ 562. $During an experiment with a meter bridge, the galvanometer shows a null point when the joceky is pressed at 40.0 cm using a standard resistance of 90 Ω, as shown in the figure. The least count of the scale used in the meter bridge is 1 mm. The unknown resistance is$ (1) $60 \pm 0.15Ω$ (2) $135 \pm 0.56Ω$ (3) $60 \pm 0.25Ω$ (4) $135 \pm 0.23Ω$ 563. $In an ammeter 0.2% of main current passes through the galvanometer. If resistance of galvanometer is G, the resistance of ammeter will be:$ (1) $\frac{1}{499} G$ (2) $\frac{499}{500} G$ (3) $\frac{1}{500} G$ (4) $\frac{500}{499} G$ 564. $In the given circuit ‘a’ is an arbitrary constant. The value of m for which the equivalent circuit resistance is minimum, will be \frac{x}{2} . The value of x is_____.$ 565. $A heater is designed to operate with a power of 1000 W in a 100 V line. It is connected in combination with a resistance of 10Ω and a resistance R, to a 100 V mains as shown in figure. For the heater to operate at 62.5 W, the value of R should be_____Ω .$ 566. $A potentiometer wire of length 300 cm is connected in series with a resistance 780 Ω and a standard cell of emf 4V. A constant current flows through potentiometer wire. The length of the null point for cell of emf 20 mV is found to be 60 cm. The resistance of the potentiometer wire is____Ω .$ 567. $The value of current I in the electrical circuit as given below, when potential at A is equal to the potential at B, will be A.$ 568. $As shown in the figure, a potentiometer wire of resistance 20 Ω and length 300 cm is connected with resistance box (R.B.) and a standard cell of emf 4 V. For a resistance 'R' of resistance box introduced into the circuit, the null point for a cell of 20 mV is found to be 60 cm. The value of 'R' is __________Ω .$ 569. $In the figure shown below, a resistance of 150.4Ω is connected in series to an ammeter A of resistance 240Ω . A shunt resistance of 10Ω is connected in parallel with the ammeter. The reading of the ammeter is ______ mA.$ 570. $For the given circuit, in the steady state, \| V_{B} - V_{D} \| = ________V.$