Which of the following is a chemosynthetic organism commonly found in soil?

The correct answer is B: Nitrosomonas. Nitrosomonas is a chemosynthetic bacterium that oxidizes ammonia to nitrite, obtaining energy without requiring light (unlike photosynthetic organisms).

In C4 plants, the first stable compound formed during carbon fixation is:

The correct answer is B: Oxaloacetate. In C4 photosynthesis, CO2 combines with PEP (3-carbon) to form oxaloacetate (4-carbon compound) via the enzyme PEP carboxylase.

The first law of thermodynamics relates to which principle?

The correct answer is A: Conservation of energy. The first law of thermodynamics (ΔU = Q - W) states that energy cannot be created or destroyed, only transferred. It is based on conservation of energy.

A projectile is launched at an angle of 45° with initial velocity 20 m/s. What is the maximum height reached? (g = 10 m/s²)

The correct answer is B: 10 m. Vertical component of velocity: u_y = 20 sin(45°) = 20/√2 = 10√2 m/s. Maximum height h = u_y²/(2g) = (10√2)²/(2×10) = 200/20 = 10 m.

An object is placed 30 cm in front of a concave mirror with focal length 10 cm. Where is the image formed?

The correct answer is B: 15 cm in front of the mirror. **The mirror equation relates object distance, image distance, and focal length to locate where an image forms in a concave mirror.** Step 1: [Identify Given Values] For this concave mirror problem, we extract the known measurements from the question. $$\text{Object distance } (u) = 30 \text{ cm}$$

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Q.1 Medium Chemistry

What is the hybridization state of the central carbon atom in the carbonate ion (CO₃²⁻)?

A sp

B sp²

C sp³

D sp³d

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.2 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?

A 1:2

B 2:5

C 3:5

D 5:2

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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