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Vidaara.orgClass 10 · Physics
CodeVID-P10-03-RES-01
Resistance, Resistivity & Combinations — Assignment
Chapter: Electricity
Topic: Resistance, Resistivity & Combinations
Maximum Marks: 30
Time: 60 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • All questions are compulsory.
  • Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
  • Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions 5 × 1 = 5 marks
1.
Resistance is inversely proportional to:
  • A.length
  • B.area of cross-section
  • C.resistivity
  • D.voltage
2.
Heating elements are made of:
  • A.copper
  • B.silver
  • C.nichrome
  • D.aluminium
3.
Two $4\ \Omega$ resistors in series give:
  • A.$2\ \Omega$
  • B.$4\ \Omega$
  • C.$8\ \Omega$
  • D.$16\ \Omega$
4.
In a parallel combination, the quantity that is the same across each resistor is:
  • A.current
  • B.potential difference
  • C.resistance
  • D.charge
5.
Resistivity depends on:
  • A.length
  • B.area
  • C.the material
  • D.shape
Section B — Short Answer (2 marks) 3 × 2 = 6 marks
6.
State the four factors on which the resistance of a wire depends.
7.
Find the equivalent resistance of $5\ \Omega$ and $5\ \Omega$ in parallel.
8.
Why are domestic appliances connected in parallel?
Section C — Short Answer (3 marks) 2 × 3 = 6 marks
9.
Calculate $R$ of a wire with $\rho=5\times10^{-7}\ \Omega\ \text{m}$, $l=2\ \text{m}$, $A=1\times10^{-6}\ \text{m}^2$.
10.
Find the equivalent resistance of $2\ \Omega$, $4\ \Omega$ and $4\ \Omega$ all in parallel.
Section D — Long Answer (5 marks) 1 × 5 = 5 marks
11.
A $6\ \Omega$ and a $3\ \Omega$ resistor are in parallel; this is in series with $4\ \Omega$ across a 12 V battery. Find the total resistance and the current from the battery.

Answer Key

Section A — Multiple Choice Questions
  1. (B) area of cross-section
  2. (C) nichrome
  3. (C) $8\ \Omega$
  4. (B) potential difference
  5. (C) the material
Section B — Short Answer (2 marks)
  1. Length, area of cross-section, material (resistivity) and temperature.
  2. $2.5\ \Omega$.
  3. So each gets full voltage and can be operated independently.
Section C — Short Answer (3 marks)
  1. $R=1\ \Omega$.
  2. $1\ \Omega$.
Section D — Long Answer (5 marks)
  1. Parallel $=2\ \Omega$; total $=6\ \Omega$; current $=2\ \text{A}$.
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