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Directions: The following seven (7) items consist of two statements, Statement I and Statement II. Examine these two statements carefully and select the correct answer using the code given below.

Statement I: Tides are the rise and fall of sea levels caused by the combined effects of the gravitational forces exerted by the Moon and the Sun and the rotation of the Earth.

Statement II: The Earth rotates from west to east.

This question was previously asked in
CDS I 2018 Elementary Mathematics Previous Year Paper (04-Feb-2018)
The correct answer is

Both the statements are individually true, but Statement II is not the correct explanation of Statement I

Analyzing Statements on Tides and Earth's Rotation

The question asks us to evaluate two statements regarding tides and the Earth's rotation and determine the correct relationship between them.

Evaluating Statement I: Understanding the Causes of Tides

Statement I says: "Tides are the rise and fall of sea levels caused by the combined effects of the gravitational forces exerted by the Moon and the Sun and the rotation of the Earth."

  • Tides are indeed the periodic rise and fall of the water level in oceans and seas.
  • The primary force causing tides is the gravitational pull of the Moon. The Moon's gravity pulls water towards it, creating a bulge on the side of Earth facing the Moon. A corresponding bulge occurs on the opposite side due to inertial forces and the gravitational gradient.
  • The Sun also exerts a gravitational force on Earth's water, contributing to tides. Although the Sun is much more massive than the Moon, it is also much farther away, so its tidal effect is about half that of the Moon.
  • The combined gravitational effects of the Moon and the Sun create tidal bulges.
  • The Earth's rotation causes different locations on Earth to pass through these tidal bulges, resulting in the observed high and low tides.

Based on this understanding, Statement I accurately describes the fundamental causes and mechanisms of tides. Therefore, Statement I is true.

Evaluating Statement II: Direction of Earth's Rotation

Statement II says: "The Earth rotates from west to east."

  • The Earth spins on its axis. This rotation is what causes day and night.
  • The direction of this rotation is from west to east.
  • This west-to-east rotation is why celestial bodies like the Sun, Moon, and stars appear to rise in the east and set in the west.

This is a fundamental fact about Earth's movement. Therefore, Statement II is also true.

Analyzing the Relationship Between Statement I and Statement II

We have determined that both Statement I (about the causes of tides) and Statement II (about Earth's rotation direction) are individually true.

Now, we need to consider if Statement II is the correct explanation for Statement I.

  • Statement I explains the *causes* of tides (gravitational forces of Moon/Sun) and mentions Earth's rotation as a factor in the *experience* of tides (locations passing through bulges).
  • Statement II simply states the *direction* of Earth's rotation.
  • While the Earth's rotation is essential for *experiencing* the cyclical rise and fall of tides at a specific location as the tidal bulges move relative to the rotating Earth, the *cause* of the bulges themselves is primarily gravitational attraction, not the direction of rotation.
  • The west-to-east rotation determines the frequency and timing of tides at a given place, but it is not the fundamental force that creates the tidal bulges.

Therefore, although both statements are true, Statement II does not explain *why* tides occur (the gravitational forces). It describes a motion of the Earth that influences the *pattern* of tides, but not their primary *cause*.

Thus, Statement II is not the correct explanation for Statement I.

Conclusion

Both Statement I and Statement II are individually true, but Statement II is not the correct explanation of Statement I.

This aligns with option 2.

Statement Truth Value Explanation
Statement I: Tides are caused by gravitational forces (Moon, Sun) and Earth's rotation. True Accurate description of tidal causes and mechanism.
Statement II: The Earth rotates from west to east. True Fundamental fact about Earth's rotation direction.
Is Statement II the correct explanation for Statement I? No Earth's rotation direction influences tidal pattern but not the primary cause (gravitational forces).

Revision Table: Key Concepts

Concept Description
Tides Periodic rise and fall of sea levels.
Cause of Tides Gravitational pull of Moon and Sun.
Role of Earth's Rotation Causes locations to pass through tidal bulges, determining timing/frequency.
Earth's Rotation Direction West to East.

Additional Information on Tides and Earth's Rotation

Understanding tides involves several factors:

  • Tidal Bulges: There are typically two high-tide bulges on Earth at any given time - one facing the Moon (strongest gravitational pull) and one on the opposite side (due to inertia/centrifugal effects and gravitational gradient).
  • Types of Tides:
    • Semidiurnal Tide: Two high tides and two low tides per day (common in many places).
    • Diurnal Tide: One high tide and one low tide per day.
    • Mixed Tide: Two high tides and two low tides of unequal size per day.
  • Spring Tides: Occur when the Sun, Moon, and Earth are aligned (during New Moon and Full Moon), resulting in stronger combined gravitational pull and larger tidal range (higher high tides, lower low tides).
  • Neap Tides: Occur when the Sun and Moon are at right angles to the Earth (during First and Last Quarter Moon), resulting in opposing gravitational pulls and smaller tidal range (lower high tides, higher low tides).

The Earth's west-to-east rotation carries observers through these bulges, causing the experience of high and low tides roughly twice a day (for semidiurnal tides). The exact timing and height are also influenced by factors like coastline shape, ocean depth, and basin resonance.

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