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Current Electricity · Question 27

JEE Main 2025 (Online) 7th April Morning ShiftMCQMedium📈 Topic in 29% papers+4−1
1

A wire of resistance R is bent into a triangular pyramid as shown in figure with each segment having same length. The resistance between points A and B is R/n. The value of n is : [figure]

  1. 16
  2. 10
  3. 12
  4. 14

Answer

(3) 12

Solution

The triangular pyramid (tetrahedron) has 6 equal segments, so each segment has resistance r = R6.

Take A at potential V and B at 0. The other two vertices (top vertex and centre vertex) are placed symmetrically with respect to A and B, so both are at potential V2.

∴ No current flows in the segment joining them; it can be removed.

⇒ Between A and B we have three parallel paths: r (direct), 2r (via top vertex) and 2r (via centre vertex).

1RAB = 1r + 12r + 12r = 2r

⇒ RAB = r2 = R12

∴ n = 12

Answer: (3)

JEE Main 2025 (Online) 7th April Morning Shift

Keep practising — Current Electricity

2

Current passing through a wire as function of time is given as I(t) = 0.02t + 0.01 A. The charge that will flow through the wire from t = 1 s to t = 2 s is

  1. 0.02 C
  2. 0.07 C
  3. 0.06 C
  4. 0.04 C
JEE Main 2025 (Online) 4th April Morning Shift
3

There are 'n' number of identical electric bulbs, each is designed to draw a power p independently from the mains supply. They are now joined in series across the mains supply. The total power drawn by the combination is :

  1. np
  2. p
  3. pn2
  4. pn
JEE Main 2025 (Online) 4th April Evening Shift
4

From the combination of resistors with resistance values R1 = R2 = R3 = 5 and R4 = 10 , which of the following combination is the best circuit to get an equivalent resistance of 6 ?

  1. [figure]
  2. [figure]
  3. [figure]
  4. [figure]
JEE Main 2025 (Online) 4th April Evening Shift
5

A wire of length 25 m and cross-sectional area 5 mm2 having resistivity of 2 10-6 m is bent into a complete circle. The resistance between diametrically opposite points will be

  1. 100
  2. 2.5
  3. 12.5
  4. 50
JEE Main 2025 (Online) 3rd April Morning Shift
6

In the figure shown below, a resistance of 150.4 is connected in series to an ammeter A of resistance 240 . A shunt resistance of 10 is connected in parallel with the ammeter. The reading of the ammeter is mA. [figure]

JEE Main 2025 (Online) 3rd April Morning Shift
7

A motor operating on 100 V draws a current of 1 A. If the efficiency of the motor is 91.6\%, then the loss of power in units of cal/s is

  1. 6.2
  2. 2
  3. 8.4
  4. 4
JEE Main 2025 (Online) 3rd April Evening Shift
8

Two cells of emfs 1 V and 2 V and internal resistances 2 and 1 , respectively, are connected in series with an external resistance of 6 . The total current in the circuit is I1. Now the same two cells in parallel configuration are connected to same external resistance. In this case, the total current drawn is I2. The value of ( I1I2 ) is x3. The value of x is .

JEE Main 2025 (Online) 3rd April Evening Shift
9

The battery of a mobile phone is rated as 4.2 V, 5800 mAh. How much energy is stored in it when fully charged?

  1. 87.7 kJ
  2. 43.8 kJ
  3. 48.7 kJ
  4. 24.4 kJ
JEE Main 2025 (Online) 2nd April Morning Shift
10

Find the equivalent resistance between two ends of the following circuit [figure]

  1. r
  2. r6
  3. r3
  4. r9
JEE Main 2025 (Online) 28th January Morning Shift
11

A wire of resistance R is bent into an equilateral triangle and an identical wire is bent into a square. The ratio of resistance between the two end points of an edge of the triangle to that of the square is

  1. 8/9
  2. 9/8
  3. 32/27
  4. 27/32
JEE Main 2025 (Online) 28th January Morning Shift

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