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Statement-1: The acceleration of a parti...

Statement-1: The acceleration of a particle near the earth surface differs slightly from the gravitational acceleration
Statement-2: The earth is not a uniform sphere and because the earth rotates.

A

Statement-1 is true, statement-2 is true: Statement-2 is a correct explanation for statement-1

B

Statement-1 is true, Statement-2 is true, Statement-2 is not a correct explanation for Statement-1

C

Statement-1 is true, Statement-2 is false.

D

Statement-1 is false, Statement-2 is true.

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the statements provided in the question, we will break down the reasoning step by step. ### Step 1: Understanding Statement-1 Statement-1 claims that the acceleration of a particle near the Earth's surface differs slightly from the gravitational acceleration. - **Explanation**: The standard value of gravitational acceleration (g) at the Earth's surface is approximately 9.8 m/s². However, this value can vary slightly based on geographical location due to factors such as altitude and the Earth's shape. ### Step 2: Understanding Statement-2 Statement-2 states that the Earth is not a uniform sphere and that it rotates. - **Explanation**: The Earth is an oblate spheroid, meaning it is slightly flattened at the poles and bulging at the equator due to its rotation. This shape affects the gravitational acceleration experienced at different points on the surface. ### Step 3: Analyzing the Relationship Between the Two Statements Now we need to determine if Statement-2 provides a correct explanation for Statement-1. - **Reasoning**: The non-uniform shape of the Earth (being an oblate spheroid) means that points at the equator are farther from the center of the Earth than points at the poles. This variation in distance from the center affects the gravitational force experienced at different locations, leading to slight differences in the acceleration due to gravity. Additionally, the rotation of the Earth causes a centrifugal effect that also influences the effective gravitational acceleration. ### Conclusion Based on the analysis: - Statement-1 is true because the acceleration due to gravity does vary slightly at different locations on the Earth's surface. - Statement-2 is also true as it correctly describes the Earth's shape and rotation, which explains the variations in gravitational acceleration. Thus, we conclude that Statement-2 is indeed the correct explanation for Statement-1. ### Final Answer Both statements are true, and Statement-2 is the correct explanation for Statement-1.
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