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Question

Which of the following planets of our solar system has least mass?

This question was previously asked in
CDS I 2019 Elementary Mathematics Previous Year Paper (03-Feb-2019)
The correct answer is

Mercury

Finding the Planet with Least Mass in Our Solar System

The question asks us to identify which of the given planets in our solar system has the least mass. Mass is a fundamental property of a planet, representing the amount of matter it contains. To find the planet with the least mass, we need to compare the masses of the planets listed in the options.

The options provided are:

  • Neptune
  • Jupiter
  • Mars
  • Mercury

Let's look at the approximate masses of these planets. It's helpful to compare them, often using scientific notation to handle the large numbers involved. The standard unit for mass in physics is the kilogram (kg).

Planet Approximate Mass (kg)
Mercury \(3.301 \times 10^{23}\) kg
Mars \(6.417 \times 10^{23}\) kg
Neptune \(1.024 \times 10^{26}\) kg
Jupiter \(1.898 \times 10^{27}\) kg

Now, let's compare the masses listed:

  • Jupiter has a mass of approximately \(1.898 \times 10^{27}\) kg. This is a very large number, with the exponent \(27\) indicating its magnitude.
  • Neptune has a mass of approximately \(1.024 \times 10^{26}\) kg. The exponent \(26\) is smaller than \(27\), so Neptune is less massive than Jupiter.
  • Mars has a mass of approximately \(6.417 \times 10^{23}\) kg. The exponent \(23\) is much smaller than \(26\) or \(27\). So, Mars is much less massive than Neptune and Jupiter.
  • Mercury has a mass of approximately \(3.301 \times 10^{23}\) kg. Like Mars, its mass has the exponent \(23\).

To compare Mars and Mercury, we look at the number before the exponent \(10^{23}\). For Mars, it's \(6.417\), and for Mercury, it's \(3.301\). Since \(3.301\) is smaller than \(6.417\), Mercury has less mass than Mars.

Comparing all four planets from the options, Mercury has the smallest mass among them:

\(3.301 \times 10^{23}\) kg (Mercury) < \(6.417 \times 10^{23}\) kg (Mars) < \(1.024 \times 10^{26}\) kg (Neptune) < \(1.898 \times 10^{27}\) kg (Jupiter)

Therefore, Mercury is the planet with the least mass among the given options.

The planet with the least mass in our solar system is Mercury.

Revision Table: Solar System Planet Masses

Planet Mass Relative to Earth Approximate Mass (kg)
Mercury 0.055 \(3.301 \times 10^{23}\)
Venus 0.815 \(4.867 \times 10^{24}\)
Earth 1.000 \(5.972 \times 10^{24}\)
Mars 0.107 \(6.417 \times 10^{23}\)
Jupiter 317.8 \(1.898 \times 10^{27}\)
Saturn 95.2 \(5.683 \times 10^{26}\)
Uranus 14.5 \(8.681 \times 10^{25}\)
Neptune 17.2 \(1.024 \times 10^{26}\)

This table shows the masses of all eight planets in our solar system, making it clear that Mercury has the smallest mass overall.

Additional Information: Planet Mass and Size

While mass tells us how much matter is in a planet, size (like radius or diameter) tells us how big it is physically. The smallest planet by diameter is also Mercury. However, mass and size don't always directly correlate in a simple way because density also plays a role. For example, Venus is slightly smaller than Earth but has a bit less mass. Jupiter is the most massive planet and also the largest.

Understanding the masses of planets helps scientists study their gravity, internal structure, and how they interact with other objects in the solar system.

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