English
Hindi

Question

Download Solution PDF

Which of the following arrangement of resistors offers minimum effective resistance between points X and Y?

This question was previously asked in
UPSC NDA-II (General Ability) Official Paper-I (Held On: 03 Sept, 2023)
Download PDF Attempt in App
View all NDA Papers >

Answer (Detailed Solution Below)

Option 1 :
Free Tests
View all Free tests >
Free
UPSC NDA 01/2025 General Ability Full (GAT) Full Mock Test
150 Qs. 600 Marks 150 Mins
Start Now

Detailed Solution

Download Solution PDF

The correct answer is Option 1.

Key Points

Concept:

The effective resistance of resistors in parallel is

The effective resistance of resistors in Series is

Reffective = R1 + R2

Explanation:

Case 1: R1 = 3 Ω, R2 = 3 Ω, R3 = 3 Ω  in parallel

Reffective = 1 Ω (Minimum)

Case 2: R1 = 3 Ω, R2 = 3 Ω  in parallel

Reffective = 1.5 Ω

Case 3: R1 = 1 Ω, R2 = 1 Ω  in series

Reffective = 1 + 1 = 2 Ω

Case 4: R1 = 1 Ω, R2 = 1 Ω, R3 in series

Reffective = 1 + 1 +1 = 3 Ω  (Maximum)

Download Solution PDF
Latest NDA Updates

Last updated on Jul 8, 2025

->UPSC NDA Application Correction Window is open from 7th July to 9th July 2025.

->UPSC had extended the UPSC NDA 2 Registration Date till 20th June 2025.

-> A total of 406 vacancies have been announced for NDA 2 Exam 2025.

->The NDA exam date 2025 has been announced. The written examination will be held on 14th September 2025.

-> The selection process for the NDA exam includes a Written Exam and SSB Interview.

-> Candidates who get successful selection under UPSC NDA will get a salary range between Rs. 15,600 to Rs. 39,100. 

-> Candidates must go through the NDA previous year question paper. Attempting the NDA mock test is also essential. 

‹‹ Previous Ques
Next Ques ››
Exams Tests Super Practice

More Resistance and Resistivity Questions

Q1.Which of the following arrangement of resistors offers minimum effective resistance between points X and Y?
Q2.Which of the following statements are correct about the electrical resistance and resistivity of a wire? 1. Both quantities depend on the area of cross-section of the wire 2. Both depend on the temperature 3. Resistance of the wire is directly proportional to the resistivity of the wire 4. Resistivity of the wire is directly proportional to the length of the wire Select the correct answer using the code given below:
Q3.A cylindrical wire of length L and radius r has a resistance R. The resistance of another wire of same material but having four times its length and half its radius will be:
Q4.The alloy constantan is used to the make standard resistance because of A. low resistivity B. high resistivity C. low-temperature coefficient of resistivity D. high-temperature coefficient of resistivity
Q5.If the length and radius of a wire are doubled, then
Q6.Read the following statements carefully and select the correct option : Assertion (A) : The resistance of a metal increases with increasing temperature. Reason (R) : The number of conduction electrons increases with temperature.
Q7.The resistance of a metallic wire is
Q8.The material used for electric fuse is an alloy of tin and lead. This alloy should have
Q9.When a number of resistance are connected in _______, their combined resistance is less than the smallest individual resistance.

More Current, Resistance and Electricity Questions

Q1.Ohm is denoted by symbol _________.
Q2.Which of the following substances can change to liquid when heated? 
Q3.A current through a wire depends on time as i = α0t + βt2 where α0 = 20 A/s and β = 8 As-2. Find the charge crossed through a section of the wire in 15 s.
Q4.A cell E1 of emf 6V and internal resistance 2Ω is connected with another cell E2 of emf 4V and internal resistance 8Ω (as shown in the figure). The potential difference across points X and Y is
Q5.The current (i1) (in A) flowing through 1Ω resistor in the following circuit is
Q6.Figure shows a circuit that contains four identical resistors with resistance R = 2.0 Ω. Two identical inductors with inductance L = 2.0 mH and an ideal battery with emf E = 9.V. The current ‘i’ just after the switch ‘s’ is closed will be:
Q7.A condenser of 2μF capacitance is charged steadily from 0 to 5 C. Which of the following graph represents correctly the variation of potential difference (V) across it’s plates with respect to the charge (Q) on the condenser ?
Q8.The value of net resistance of the network as shown in the given figure is :
Q9.To measure the internal resistance of a battery, the potentiometer is used. For R = 10 Ω, 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 :
Q10.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 400°C, the resistance of platinum wire is :
Suggested Test Series
View All >
Current Affairs (CA) 2025 Mega Pack for SSC/Railways/State Exam Mock Test
431 Total Tests with 3 Free Tests
Start Free Test
Current Affairs (CA) 2024 Mega Pack for SSC/Railways/State Exam Mock Test
427 Total Tests with   3 Free Tests
Start Free Test

More Physics Questions

Q1. A bar magnet has total length 2l = 20 units and the field point P is at a distance d = 10 units from the centre of the magnet. If the relative uncertainty of length measurement is 1%, then uncertainty of the magnetic field at point P is : 
Q2.A bi-convex lens is constructed using two thin plano-convex lenses, as shown in the figure. The refractive index of the first lens is 1.5, and that of the second lens is 1.2. Both curved surfaces have the same radius of curvature, R = 14 cm. For this bi-convex lens, when the object distance is 40 cm, determine the image distance:
Q3.In a closed system of two interacting particles, m1 and m2, the center of mass is stationary. Given the trajectory of m1 and that m2 = m1, determine the trajectory of m2.
Q4.Match the following entries in column-I and column-II with respect to an oscillating spring-block system: Column-I Column-II (a) Mass of the block is doubled (i) Energy of oscillation becomes 4 times (b) Spring constant is made 4 times (ii) Speed of block becomes 2 times (c) Amplitude of oscillations is doubled (iii) P.E. becomes 4 times (d) Angular frequency is doubled (iv) Time period becomes √2 times (e) length of spring is quadrupled (v) Time period becomes 2 times
Q5.Consider the process of one mole of monatomic ideal gas shown in the T-V diagram. The correct match is based on the following equations and principles: Column - 1 Column - 2 (I) Work done in the isothermal process (1 → 2) (i) (RT0 / 3) ln 2 (II) Change in internal energy (1 → 2 → 3) (ii)RT0 (III) Total heat absorbed (1 → 2 → 3) (iii)  (RT0 / 3) [3 + ln 2] (IV) Heat absorbed in the isothermal process (1 → 2) (iv)  (RT0 / 5) ln 2 (V) Work done in the process (1 → 2→ 3) (v) RT0 /2  
Q6.For the LCR AC circuit (resonance frequency ωo) shown in the figure below, choose the correct statement(s). List 1 List 2 (i) ω0 a) depends on L,C (ii) At ω =ω0 , VR is   b) independent of L, C (iii) VR and I are  c) In phase (iv)  At ω =ω0 /2, VR is   d) Out of phase  
Q7.Match the Following: Match the entries from Column-1 with their corresponding descriptions in Column-2 and numerical values in Column-3. Column - 1 Column - 2 Column - 3 (I) Planck’s radiation law (i) Peak wavelength shifts inversely with temperature (P) 0.5 (II) Stefan-Boltzmann law (ii) Energy radiated is proportional to the fourth power of temperature (Q) 0.25 (III) Kirchhoff’s Law of Radiation (iii) Absorptivity equals emissivity in thermal equilibrium (R) 0.3 (IV) Newton’s Cooling Law (iv) Rate of cooling is proportional to the temperature difference (S) 0.4   A surface reflects 70% of the incident energy. Determine the most appropriate match for its emissivity.  
Q8.A ball of 8 kg, moving at 15 m/s, enters a 22 kg spring gun at rest. If the surfaces are frictionless and the spring is massless, determine the gun's speed after the ball stops moving relative to the gun.
Q9.A square frame is constructed from four uniform rods. The rods, AB, BC, CD, and DA, have masses 2m, 3m, 4m, and 5m respectively, and each has a length of 2a.  Where is the center of mass of this frame located in the x-y plane, specifically, which quadrant or region defined by x and y coordinates.
Q10.Imagine you have a cup of Starbucks coffee in a moving car. If the car suddenly brakes
Testbook Edu Solutions Pvt. Ltd.
1st & 2nd Floor, Zion Building,
Plot No. 273, Sector 10, Kharghar,
Navi Mumbai - 410210
support@testbook.com
Toll Free:1800 833 0800
Office Hours: 10 AM to 7 PM (all 7 days)
Company
About usCareers We are hiringTeach Online on TestbookPartnersMediaSitemap
Products
Test SeriesTestbook PassOnline CoursesOnline VideosPracticeBlogRefer & EarnBooks
Copyright © 2014-2022 Testbook Edu Solutions Pvt. Ltd.: All rights reserved
User PolicyTermsPrivacy
Hot Links： teen patti apk download teen patti wink teen patti king teen patti game online