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Q32 (IAS/2024) Science & Technology › Basic Science (Physics, Chemistry, Biology) › Astronomy and astrophysics Official Key

Consider the following statements : Statement-I : Giant stars live much longer than dwarf stars. Statement-II : Compared to dwarf stars, giant stars have a greater rate of nuclear reactions. Which one of the following is correct in respect of the above statements ?

Result
Your answer:  ·  Correct: D
Explanation

The correct answer is option D because Statement-I is incorrect while Statement-II is correct.

Red giants are more rare than main sequence stars, so their life spans should be shorter.[2] This directly contradicts Statement-I's claim that giant stars live much longer than dwarf stars. Main sequence stars have very long life spans[3], making dwarf (main-sequence) stars the longer-lived category.

Statement-II is correct. More massive stars are more luminous than less massive stars[4], and this higher luminosity in giant stars results from a greater rate of nuclear reactions in their cores. The increased reaction rate causes giants to burn through their fuel faster, which paradoxically shortens rather than lengthens their lifetimes compared to dwarf stars.

Therefore, Statement-I is incorrect (giants live shorter lives, not longer), but Statement-II is correct (giants do have higher nuclear reaction rates), making option D the correct choice.

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PROVENANCE & STUDY PATTERN
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Don’t just practise – reverse-engineer the question. This panel shows where this PYQ came from (books / web), how the examiner broke it into hidden statements, and which nearby micro-concepts you were supposed to learn from it. Treat it like an autopsy of the question: what might have triggered it, which exact lines in the book matter, and what linked ideas you should carry forward to future questions.
Q. Consider the following statements : Statement-I : Giant stars live much longer than dwarf stars. Statement-II : Compared to dwarf sta…
At a glance
Origin: Books + Current Affairs Fairness: Low / Borderline fairness Books / CA: 3.3/10 · 3.3/10
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This is a classic 'Mechanism vs. Outcome' question. It tests the fundamental rule of stellar physics: 'Live fast, die young.' While it looks like deep astrophysics, it is solvable using the basic 'Life Cycle of a Star' charts found in standard Geography NCERTs and PMF IAS. The core logic is that high mass = high gravity = high fusion rate = short life.

How this question is built

This question can be broken into the following sub-statements. Tap a statement sentence to jump into its detailed analysis.

Statement 1
In stellar evolution, do giant stars have longer lifetimes than dwarf (main-sequence) stars?
Origin: Web / Current Affairs Fairness: CA heavy Web-answerable

Web source
Presence: 5/5
"Other stars, such as red giants are more rare than main sequence stars, so their life spans should be shorter."
Why this source?
  • Directly compares red giants to main-sequence stars and states giants are rarer
  • Concludes rarity implies shorter life spans for giants compared to main-sequence stars
Web source
Presence: 5/5
"Most likely explanation is that Main Sequence stars are constantly being born, and that they have very long life spans."
Why this source?
  • States main-sequence stars have very long lifespans
  • Implying main-sequence (dwarf) phase lasts longer than subsequent, rarer phases
Web source
Presence: 4/5
"very long time, giving them lifetimes much longer than the 13.8 billion years the universe has been around. Once that supply is exhausted, the star leaves the main sequence and swells into a red giant."
Why this source?
  • Describes main-sequence stars as living 'very long' (example: the Sun ~10 billion years)
  • Explains stars leave the main sequence and swell into red giants after core hydrogen is exhausted, implying the red-giant phase follows and is shorter

Physical Geography by PMF IAS, Manjunath Thamminidi, PMF IAS (1st ed.) > Chapter 1: The Universe, The Big Bang Theory, Galaxies & Stellar Evolution > Main sequence stars > p. 10
Strength: 4/5
“• Main sequence stars fuse hydrogen atoms to form helium in their cores. Most of the stars in the universe, about 90 per cent of them including the sun, are main sequence stars.• Towards the end of its life, stars like the sun swells up into a red giant, before losing their outer layers as a planetary nebula and finally shrinking to become a white dwarf.”
Why relevant

States that main-sequence stars (e.g., the Sun) later swell into red giants toward the end of their life cycle, implying giants represent a later evolutionary stage rather than a longer primary lifetime.

How to extend

A student could combine this with the fact that main-sequence lifetime is determined by core hydrogen burning to reason that giants are a subsequent, typically shorter-lived phase of stellar evolution.

Physical Geography by PMF IAS, Manjunath Thamminidi, PMF IAS (1st ed.) > Chapter 1: The Universe, The Big Bang Theory, Galaxies & Stellar Evolution > Neutron stars > p. 14
Strength: 4/5
“If its mass is any greater, its gravity will be so strong that it will shrink further to become a black hole.• Chandrasekhar Limit: it is the maximum mass at which a star near the end of its life cycle can become a white dwarf and above which the star will collapse to form a neutron star or black hole. • Protostar: ; Fusion ignition - Main Squence: ; Col3: ; Red Giant/Supergiant White Dwarf/Black Hole: • Protostar: Fetus; Fusion ignition - Main Squence: Infancy through Adulthood; Col3: Middle Age; Red Giant/Supergiant White Dwarf/Black Hole: Old Age-Death • Protostar: ; Fusion ignition - Main Squence: \frac{1}{2}; Col3: ; Red Giant/Supergiant White Dwarf/Black Hole:”
Why relevant

Provides an evolutionary timeline metaphor (main sequence = 'Infancy through Adulthood'; red giant/supergiant = 'Middle Age' or 'Old Age–Death'), indicating giants occur late in life rather than having longer overall main-sequence lifetimes.

How to extend

Use the timeline plus standard knowledge that massive stars evolve more rapidly to infer giants (especially supergiants) do not have longer total lifetimes than long-lived dwarfs.

Physical Geography by PMF IAS, Manjunath Thamminidi, PMF IAS (1st ed.) > Chapter 1: The Universe, The Big Bang Theory, Galaxies & Stellar Evolution > Red Supergiant > p. 11
Strength: 3/5
“• As the red giant star condenses, it heats up even further, burning the last of its hydrogen and causing the star's outer layers to expand outward. At this stage, the star becomes a large red giant. An enormous red giant is often called Red Supergiant.”
Why relevant

Explains that red giants burn the last of their hydrogen and expand, showing the giant phase involves consuming remaining fuel in an advanced stage.

How to extend

Combine with the basic idea that fuel consumption rate affects lifetime to judge whether the giant phase is shorter than a long main-sequence lifetime.

Physical Geography by PMF IAS, Manjunath Thamminidi, PMF IAS (1st ed.) > Chapter 1: The Universe, The Big Bang Theory, Galaxies & Stellar Evolution > The Difference Between Nova and Type I Supernova > p. 13
Strength: 4/5
“• Nova: In a nova, the system can shine up to a million times; Type I supernova: A supernova is a violent stellar explosion that • Nova: brighter than normal.; Type I supernova: can shine as brightly as an entire galaxy of billions • Nova: ; Type I supernova: of normal stars. • Nova: As long as it continues to take gas from its compan; Type I supernova: If enough gas piles up on the surface of the white • Nova: ion star, the white dwarf can produce nova out; Type I supernova: dwarf, a runaway thermonuclear explosion • Nova: bursts at regular intervals.; Type I supernova: blasts the star to bits. • Nova: Type II supernova; Type I supernova:”
Why relevant

Describes massive-star endpoints (Type I/II supernovae) and violent, rapid deaths for some stars, linking high-mass (often giant) stars to relatively abrupt ends.

How to extend

A student could apply the external rule that higher-mass stars burn fuel faster to connect massive/giant stars with shorter lifetimes than low-mass dwarfs.

Physical Geography by PMF IAS, Manjunath Thamminidi, PMF IAS (1st ed.) > Chapter 1: The Universe, The Big Bang Theory, Galaxies & Stellar Evolution > Our Galaxy (The Milky Way) > p. 8
Strength: 4/5
“The inner stars travel faster than those further out. A supermassive black hole called Sagittarius A* is at the centre. The Solar System is located in the Orion Arm, 26,000 light years from the centre (about one-third from the centre) of the Milky Way.• Stars like Sun are rare in the Milky Way galaxy, whereas substantially dimmer and cooler stars, known as red dwarfs, are common.”
Why relevant

Notes red dwarfs are common, dimmer and cooler than Sun-like stars, suggesting a class of low-mass stars distinct from giants.

How to extend

Combine with the standard fact that lower luminosity/cooler stars burn fuel more slowly to hypothesize that red-dwarf (main-sequence) lifetimes exceed those of giant (high-mass) stars.

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Statement analysis

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