State Exam — General Science
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Q.1 Medium Chemistry
In the reaction between potassium permanganate and oxalic acid in acidic medium, what is the ratio of KMnO₄ to H₂C₂O₄ in the balanced equation?
A1:2
B2:5
C3:5
D5:2
Correct Answer:  B. 2:5
Explanation:

The balanced equation for this redox reaction in acidic medium is: 2KMnO₄ + 5H₂C₂O₄ + 3H₂SO₄ → K₂SO₄ + 2MnSO₄ + 10CO₂ + 8H₂O.

Potassium permanganate acts as an oxidizing agent (Mn⁷⁺ → Mn²⁺), while oxalic acid is oxidized (C²⁺ → C⁴⁺), giving the 2:5 molar ratio.

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Q.2 Medium Chemistry
What is the hybridization state of the central carbon atom in the carbonate ion (CO₃²⁻)?
Asp
Bsp²
Csp³
Dsp³d
Correct Answer:  B. sp²
Explanation:

In the carbonate ion CO₃²⁻, the central carbon atom forms three sigma bonds with oxygen atoms and is involved in resonance structures with delocalized pi electrons.

This trigonal planar geometry requires sp² hybridization, with three hybrid orbitals arranged at 120° angles and one unhybridized p orbital for pi bonding.

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Q.3 Medium Physics
The escape velocity from the surface of a planet depends on which two fundamental properties of that planet?
ARadius and temperature
BMass and radius
CDensity and temperature
DAtmospheric pressure and mass
Correct Answer:  B. Mass and radius
Explanation:

Escape velocity is mathematically derived as v = √(2GM/R), where G is gravitational constant, M is the planet's mass, and R is its radius.

These two properties directly determine the gravitational field strength at the planet's surface, which defines the minimum velocity needed to escape gravitational attraction.

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Q.4 Medium Space & Astronomy
What is the primary reason why Venus experiences a runaway greenhouse effect compared to Earth, despite being only slightly closer to the Sun?
AVenus has a much thicker atmosphere composed primarily of carbon dioxide with clouds of sulfuric acid
BVenus rotates much faster than Earth, trapping more heat
CVenus lacks a magnetic field to protect it from solar radiation
DVenus is larger in size and therefore has greater gravitational compression
Correct Answer:  A. Venus has a much thicker atmosphere composed primarily of carbon dioxide with clouds of sulfuric acid
Explanation:

Venus's dense atmosphere (90 times denser than Earth's) is composed of 96.5% carbon dioxide with clouds of concentrated sulfuric acid, creating an extreme greenhouse effect with surface temperatures around 465°C.

This massive atmospheric composition traps far more infrared radiation than Earth's atmosphere, making it the primary cause of Venus's extreme greenhouse conditions rather than its orbital position alone.

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Q.5 Medium Space & Astronomy
The James Webb Space Telescope observes primarily in which wavelength region of the electromagnetic spectrum, and what is the key advantage of this choice?
AUltraviolet; better for observing hot, young stars
BVisible light; provides clearest images of the universe
CInfrared; allows observation through cosmic dust and enables viewing of early universe objects
DMicrowave; measures the cosmic microwave background radiation directly
Correct Answer:  C. Infrared; allows observation through cosmic dust and enables viewing of early universe objects
Explanation:

The James Webb Space Telescope operates primarily in infrared wavelengths (0.6-28 micrometers), which penetrates dust clouds that block visible light, allowing it to observe star-forming regions, protoplanetary disks, and extremely distant galaxies from the early universe.

Infrared observations also reveal objects too cool or distant to be seen in visible light, making it superior for studying the universe's earliest structures and most distant objects.

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Q.6 Medium Physics
Speed of sound in air?
A300 m/s
B343 m/s
C400 m/s
D250 m/s
Correct Answer:  B. 343 m/s
Explanation:

~343 m/s at 20°C.

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Q.7 Medium Human Body
Universal blood donor group?
AA+
BB+
CAB+
DO-
Correct Answer:  D. O-
Explanation:

O- has no antigens, universal donor.

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Q.8 Medium Botany
In C4 plants, the first stable compound formed during carbon fixation is:
A3-Phosphoglycerate
BOxaloacetate
CRibulose-1,5-bisphosphate
DGlucose
Correct Answer:  B. Oxaloacetate
Explanation:

In C4 photosynthesis, CO2 combines with PEP (3-carbon) to form oxaloacetate (4-carbon compound) via the enzyme PEP carboxylase.

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Q.9 Medium Botany
The root pressure phenomenon in plants can be measured using a device called:
APotometer
BBarograph
CManometer
DTensiometer
Correct Answer:  C. Manometer
Explanation:

Root pressure is measured using a manometer connected to the cut end of a plant stem, showing the positive pressure generated by roots.

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Q.10 Medium Botany
Which of the following statements about stomatal opening is correct?
AGuard cells lose turgor pressure when stomata open
BPotassium ions accumulate in guard cells during stomatal opening
CStomata open in complete darkness
DGuard cells have thick outer walls and thin inner walls
Correct Answer:  B. Potassium ions accumulate in guard cells during stomatal opening
Explanation:

During stomatal opening, potassium ions (K+) actively accumulate in guard cells, increasing osmotic potential and causing water influx.

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