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Consider the reaction
N₂(g) + 3H₂(g)$\to$2NH₃(g) carried out at constant temperature and pressure. If $∆$H and $∆$E are enthalpy change and internal energy change respectively, which of the following expression is True?
$$\begin{gathered} 1. ∆\mathrm{H}⩾∆\mathrm{E} \\ 2. ∆\mathrm{H}=∆\mathrm{E} \\ 3. ∆\mathrm{H}<∆\mathrm{E} \\ 4. ∆\mathrm{H}>∆\mathrm{E} \end{gathered}$$

pOH of H₂O is 7.0 at 298K. If water is heated at 350K, which of the following statement should be true ?
(1) pOH will decrease
(2) pOH will increase
(3) pOH will remain 7.0
(4) Concentration of H⁺ ions will increase but that of OH^- will decrease.

Prokaryotic cells have something unique in the form of:
1. Inclusion bodies
2. Plasmids
3. Cell wall
4. 70 S ribosomes

In an average composition of a cell, the maximum % of total cellular mass [after water and protein] is constituted by:
1. Carbohydrates
2. Lipid
3. Nucleic acids
4. Ions

Consider the given two statements:
l. During G₁ phase the cell is metabolically active and continuously grows but does not replicate its DNA.
ll. During G₂ phase, proteins are synthesized in preparation for mitosis while cell growth continues.
Of the two statements:
1. Only l is correct
2. Only ll is correct
3. Both l and ll are correct
4. Both l and ll are incorrect 

During plasmolysis:
1. Water is lost from the cytoplasm but not from the vacuole
2. Water is first lost from the cytoplasm and then from the vacuole
3. Water is first lost from the vacuole and then from the cytoplasm 
4. Water is lost from the vacuole but not from the cytoplasm 

The deficiency symptoms of iron, magnesium and calcium in plants may actually be due to the toxicity of
1. Potassium
2. Manganese
3. Iron
4. Chlorine

Premature infants may develop respiratory distress and can land up in respiratory failure sometimes needing an intensive care for such infants. This may be due to:
(1) the sudden change from the uterine environment to the air
(2) the incomplete development of the lung surface
(3) inadequate production of surfactant
(4) mutations in the genes involved in lung formation

A force 2N is along line y = 3x + 4. The torque about the origin is:
1.  $\frac{5}{\sqrt{10}}\mathrm{Nm}$
2.  $\frac{7}{\sqrt{10}}\mathrm{Nm}$
3.  $\frac{6}{\sqrt{10}}\mathrm{Nm}$
4.  $\frac{8}{\sqrt{10}}\mathrm{Nm}$

A projectile fired vertically upwards with a speed v escapes from the earth. If it is to be fired at 45$°$ to the horizontal, what should be its speed so that it escapes from the earth?
1.  v
2.  $\frac{\mathrm{v}}{\sqrt{2}}$
3.  $\sqrt{2}\mathrm{v}$
4.  2v