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A person will get more quantity of matte...

A person will get more quantity of matter in Kg-Wt at

A

poles

B

at lattiude of `60^(@)`

C

equator

D

satellite

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question of where a person will get more quantity of matter in Kg-Wt, we need to analyze the acceleration due to gravity (g) at different locations: the poles, a latitude of 60 degrees, the equator, and in a satellite. ### Step-by-Step Solution: 1. **Understanding Acceleration due to Gravity**: The acceleration due to gravity (g) is given by the formula: \[ g = \frac{GM}{r^2} \] where \( G \) is the gravitational constant, \( M \) is the mass of the Earth, and \( r \) is the distance from the center of the Earth. 2. **Comparing Radius at Different Locations**: - At the North Pole, the radius \( r \) is approximately \( 6,356,800 \) meters. - At the Equator, the radius \( r \) is approximately \( 6,378,100 \) meters. - The radius at latitude 60 degrees is between these two values, but for our purpose, we will focus on the extremes (North Pole and Equator). 3. **Calculating g at Different Locations**: - The value of \( g \) at the North Pole is approximately \( 9.86 \, \text{m/s}^2 \). - The value of \( g \) at the Equator is approximately \( 9.80 \, \text{m/s}^2 \). 4. **Analyzing the Effect of Radius on g**: Since \( g \) is inversely proportional to the square of the radius \( r \), a smaller radius results in a larger value of \( g \). Therefore: - At the North Pole (smaller radius), \( g \) is greater. - At the Equator (larger radius), \( g \) is smaller. 5. **Conclusion on Weight**: The weight of an object is given by the formula: \[ W = mg \] where \( m \) is the mass of the object and \( g \) is the acceleration due to gravity. Since \( g \) is greater at the North Pole, the same mass will weigh more there compared to the Equator. 6. **Final Answer**: Therefore, a person will get more quantity of matter in Kg-Wt at the North Pole compared to the Equator, and the correct answer is: - **Option 1: North Pole**.
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