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Part 2: Large Number Around Us Class 7 Mathematics

Based on the Creative Chitti section on page 6 of the textbook, Chitti is a calculator with buttons for large place values (+1, +10, +100, +1,000, +10,000, +1,00,000, and +10,00,000). It loves to find creative, alternative ways to break down numbers instead of just using standard place values.

Here are solutions for the "Figure it Out" exercises by writing expressions for at least two different creative ways to obtain each number:

ISC Class XI — Applied Mathematics (885) NEP-Based HOTS Question Paper

 

ISC Class XI — Applied Mathematics (885)

Chapter: Quadratic Equations & Applications

NEP-Based HOTS Question Paper

Time: 3 Hours

Maximum Marks: 80


General Instructions

  1. This question paper contains 4 Sections — A, B, C and D.

  2. All questions are compulsory.

  3. Use of calculator is allowed where necessary.

  4. The paper is designed according to the NEP competency-based pattern.

  5. Questions test:

    • Analytical thinking

    • Logical reasoning

    • Mathematical modelling

    • Real-life applications

    • Interpretation skills

  6. Draw neat graphs wherever required.

ICSE Class 10 Physics : Sample Question

 

ICSE Class 10 Physics

Higher Order Thinking Skills (HOTS) Question Paper

Topic: Force, Work, Power, Energy & Simple Machines

Based on NEP Competency-Oriented Pattern

Time Allowed: 2 Hours
Maximum Marks: 40


General Instructions

  1. Answer all questions.

  2. This paper contains competency-based, analytical and application-oriented questions.

  3. Diagrams wherever necessary should be neat and labelled.

  4. Assume g = 10 m/s2 unless otherwise stated.

  5. Calculators are not allowed.


Section A

Conceptual Reasoning & Assertion-Based Questions

(1 mark each)

Q1.

A boy pushes a wall with great force for 2 minutes but the wall does not move. Which statement is correct?

A. Work is done because force is applied.
B. No work is done because displacement is zero.
C. Power is maximum because time is large.
D. Energy is destroyed.


QCAA Physics Unit 4 syllabus (Revolutions in Modern Physics) part 2


This concept bridges the gap between everyday observations and the postulates of Special Relativity, explaining why "absolute motion" does not exist.


Unit 4: Revolutions in Modern Physics

Topic: The Relativity of Motion

In classical physics and everyday life, we often talk about speed as if it is an absolute property. We say, "That car is moving at 100 km/h." However, in physics, motion cannot exist in a vacuum. To measure the position, velocity, or acceleration of an object, it must always be calculated relative to something else: an observer and their frame of reference.


1. The Core Concept: No Absolute Motion

There is no landmark or center point in the universe that is "perfectly still." Because everything in the cosmos is moving relative to something else (the Earth rotates, the Earth orbits the Sun, the Solar System orbits the galaxy), all uniform motion is relative.

If you are locked inside a windowless room moving at a perfectly constant velocity, there is no physical experiment you can perform to determine whether you are moving or stationary.

The Reality: You can only ever claim you are moving relative to another object, and that object can equally claim you are stationary while they are moving.

QCAA Physics Unit 4 syllabus (Revolutions in Modern Physics) part 1

QCAA Physics Unit 4 syllabus (Revolutions in Modern Physics).

This guide focuses on the limitations of classical physics and how Special Relativity explains two crucial natural and experimental phenomena: atmospheric muons and the momentum of high-speed particles.


Unit 4: Revolutions in Modern Physics

Topic: Limitations of Classical Physics & Evidence for Special Relativity

Classical physics (Newtonian mechanics) works perfectly for everyday objects at everyday speeds. However, it completely breaks down when things move close to the speed of light ($c$). To explain these discrepancies, Albert Einstein introduced the Theory of Special Relativity.


1. Atmospheric Muons (Evidence for Time Dilation & Length Contraction)

What is a Muon?

Muons are elementary subatomic particles created high in the Earth’s atmosphere (about 15 km up) when cosmic rays collide with air molecules.

The Paradox

  • The Classical Prediction: Muons are highly unstable and have a very short average lifespan of about

    $t_0 = 2.2 \times 10^{-6} \text{ s}$

    (2.2 microseconds) before they decay into other particles. Even traveling at $0.998c$, classical physics calculates their travel distance as:

    $d = v \times t $ $= (0.998 \times 3 \times 10^8 \text{ m/s}) \times (2.2 \times 10^{-6} \text{ s})$ $\approx 660 \text{ m}$

    Since 660 meters is much less than 15,000 meters (15 km), classical physics predicts that almost no muons should reach the Earth's surface.

  • The Observation: In reality, detectors on the Earth’s surface measure a massive abundance of muons surviving the journey.