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A bicycle wheel (mass \(3\) kg, radius \(0.5\) m) is spinning at a constant angular speed. It is situated horizontally, and a beetle \((\text{mass}=5)\) is sitting on the rim. The beetle is traveling at a speed \(2\) m/s. Use \(g=10\) m/s².
In the following diagrams, the wheel is viewed almost from the side, so that "down" is toward the bottom of the page. Which is the best force diagram?

1.		2.
3.		4.

A \(3\) kg-block is pressed against a vertical wall with a coefficient of friction, \(\mu = \dfrac{3}{4}\). What minimum force should be applied to the block in order to prevent it from falling down?    Take \(g = 10 ~\text{m/s}^2\) 

1.	\(\dfrac{3}{4} \times 30 ~\text{N}\)	2.	\(\dfrac{4}{3} \times 30 ~\text{N}\)
3.	\(\dfrac{3}{5} \times 30 ~\text{N}\)	4.	\(\dfrac{4}{5} \times 30~\text{N}\)

A force of \(60~\text N\) is applied vertically to the system, where the pulley and string are ideal. The blocks are on the ground. The upward acceleration of the pulley is: (take \(g=10\) m/s²)
                        
1. \(5~\text{m/s}^2\)
2. \(10~\text{m/s}^2\)
3. \(2.5~\text{m/s}^2\)
4. \(1.5~\text{m/s}^2\)

When a man climbs up a ladder, positive work is done on the man by:

1.	his weight.
2.	the normal reaction of the ladder on the man.
3.	the reaction forces of the ground on the ladder.
4.	the internal forces of the man.

Two blocks of mass \(m\) and \(2m\) are connected with a string which is passing over a pulley (disc) of mass \(m\) and radius \(R\) as shown in the figure. If the system is released from rest, then the acceleration of the block will be:

1.	\(\dfrac{g}{5}\)	2.	\(\dfrac{2g}{7}\)
3.	\(\dfrac{g}{3}\)	4.	\(\dfrac{2g}{3}\)

Given below are the atomic numbers of some group 14 elements. Find out the atomic number of the element with the lowest melting point :
1. 14 
2. 6
3. 82 
4. 50

1.0 mol of a monoatomic ideal gas is expanded from state (1) to state (2) as shown in the graph below:
   
The work done for the expansion of gas from state (1) to state (2) at 298 K will be:
1. 1617.6 J
2. -1617.6 J
3. 1717.6 J
4. -1717.6 J

Consider the given two statements:

Assertion (A):	\(\text{B}_2\) molecule is paramagnetic.
Reason (R):	The last electron in the \(\text{B}_2\) molecule in the molecular orbital (MOT) diagram is filled in a \(\sigma\) orbital.

 

1.	Both (A) and (R) are True and (R) is the correct explanation of (A)
2.	Both (A) and (R) are True but (R) is not the correct explanation of (A).
3.	(A) is True but (R) is False.
4.	(A) is False but (R) is True.

The prefix peta used in the SI system is:

1.	\(10^{15}\)	2.	\(10^{-15} \)
3.	\(10^{18}\)	4.	\(10^{-18} \)

Why do dicot stems show secondary growth through the formation of vascular cambium and cork cambium, while monocot stems generally lack secondary growth and remain herbaceous throughout their life, and what anatomical feature is primarily responsible for this fundamental difference?

1.	Dicots have broader cortex regions that accommodate secondary tissues, while monocots have narrow cortex that physically restricts additional tissue development
2.	Dicots produce more auxin hormone that stimulates cambial activity, while monocots lack sufficient auxin production for sustained meristematic division in lateral tissues
3.	Dicots have lignified sclerenchyma that supports secondary growth, while monocots have only collenchyma tissue that cannot support additional vascular tissue formation
4.	Dicots have interfascicular cambium that connects vascular bundles allowing lateral meristematic activity, while monocots have closed vascular bundles scattered throughout the stem without interfascicular tissue, preventing continuous cambial ring formation necessary for secondary growth

With reference to carbohydrates, consider the following statements:

A.	Glycosidic bonds are formed through condensation reactions.
B.	Sucrose is a reducing sugar.
C.	Cellulose is a homopolysaccharide.

Which of the statements given above are correct?

1.	A only	2.	A and C only
3.	B and C only	4.	A, B and C

Read the following passage and answer the question: A worker in a stone-grinding factory has been exposed to excessive dust for several years. Despite the body's defense mechanisms, prolonged exposure has led to chronic inflammation in the lungs. Medical examination revealed proliferation of fibrous tissues in the lungs, causing severe damage to the respiratory surface. The doctor explained that this is a common occupational respiratory disorder in industries involving grinding or stone-breaking.
What is the medical term for the proliferation of fibrous tissues described above?
1. Fibrosis
2. Emphysema
3. Asthma
4. Pneumonia

Consider the following two statements:


Assertion (A):	The cis-face of the Golgi apparatus receives vesicles coming from the ER.
Reason (R):	The trans-face releases vesicles that usually fuse with lysosomes or the plasma membrane.

 

1.	Both (A) and (R) are True, and (R) is the correct explanation of (A)
2.	Both (A) and (R) are True, but (R) is not the correct explanation of (A)
3.	(A) is True, but (R) is False
4.	(A) is False, but (R) is True

Consider the given statements:

A.	Prokaryotic ribosomes are 70S.
B.	Eukaryotic cytoplasmic ribosomes are 80S.
C.	Ribosomes are present in lysosomes.
D.	Mitochondria possess circular DNA
E.	Chloroplasts contain 70S ribosomes.

How many are correct?
1. 1
2. 2
3. 3
4. 4

Two patients present with excessive urination and thirst. Patient A has glucose in urine and ketone body formation, while Patient B has dilute urine with no glucose. Which hormonal deficiencies explain these conditions?

1.	Patient A lacks insulin; Patient B lacks ADH (vasopressin)
2.	Patient A lacks glucagon; Patient B lacks aldosterone
3.	Patient A lacks aldosterone; Patient B lacks insulin
4.	Patient A lacks ADH; Patient B lacks parathyroid hormone

Consider the given two statements:

Assertion (A):	Glomerular filtration is considered as a process of ultrafiltration.
Reason (R):	Almost all constituents of plasma except proteins pass into the lumen of Bowman's capsule.

 

1.	Both (A) and (R) are True, and (R) is the correct explanation of (A)
2.	Both (A) and (R) are True, but (R) is not the correct explanation of (A)
3.	(A) is True, but (R) is False
4.	(A) is False, but (R) is True

Consider the following statements:
Statement I: The brain stem consists of the midbrain, pons, and medulla oblongata.
Statement II: The brain stem controls vital involuntary functions like breathing, heart rate, and blood pressure.

1.	Statement I is correct but Statement II incorrectly attributes these functions
2.	Statement I is incorrect regarding the components but Statement II is correct
3.	Both statements are correct and Statement II explains the critical importance of Statement I
4.	Both statements are correct but describe unrelated aspects of brain anatomy

Refer to the figure showing the relationship between absorption spectrum and rate of photosynthesis.

Statement I:	The peaks of the action spectrum correspond closely with the absorption peaks of chlorophyll a and b.
Statement II:	This indicates that chlorophyll a is not the only pigment responsible for absorbing all wavelengths used in photosynthesis.

 

1.	Both Statement I and Statement II are correct
2.	Both Statement I and Statement II are incorrect
3.	Statement I is correct, but Statement II is incorrect
4.	Statement I is incorrect, but Statement II is correct

Viruses and viroids both depend on living host cells, yet their requirements from the host differ fundamentally. Which statement best explains this difference?

1.	Viruses require host ribosomes to synthesize capsid proteins, whereas viroids do not encode proteins and only replicate their RNA using host enzymes
2.	Viruses replicate their nucleic acid independently, whereas viroids depend on host DNA for genome synthesis
3.	Viruses require integration into host chromosomes, whereas viroids replicate freely in extracellular environment
4.	Viruses depend only on host energy supply, whereas viroids require host ribosomes for protein synthesis