Explanation

• A. √16 = 4 → Rational

• B. √4 = 2 → Rational

• C. √9 = 3 → Rational

• D. √11 ≈ 3.316624... → Not a perfect square → Irrational

Correct answer: D. √11

Explanation

 "Hair" is uncountable when referring to all the hair on a person’s head.

We use "is" (singular verb) with "hair" in this context.

Explanation

 To solve the differential equation dy/dx = cosx, we integrate both sides with respect to x.

∫dy = ∫cosx dx

y = sinx + C

where C is the constant of integration.

Explanation

Explanation

Explanation

Water (H₂O) forms strong and extensive hydrogen bonds 

Due to its two hydrogen atoms and two lone pairs on oxygen.

Though HF forms strong individual bonds,

H₂O forms a dense hydrogen bonding network, making its bonding stronger overall.

Explanation

 The magnetic effect of electric current is the principle behind the operation of devices like motors.

When a current flows through a wire, it creates a magnetic field around it. In a motor, this magnetic field interacts with permanent magnets to cause a coil to rotate

This rotation then drives the motor. Electric fans utilize this principle to spin their blades. 

Explanation

When atomic orbitals (like s and p) mix to form hybrid orbitals (e.g., sp³, sp², sp),

The resulting orbitals have the same energy — they are degenerate.

This uniform energy level allows for equal bond strength and geometry, such as in methane (CH₄) with four sp³ orbitals.

Explanation

For an ideal gas, a graph of pressure (P) versus volume (V) at a constant temperature gives a hyperbolic curve, as described by Boyle's Law (PV = k).

This indicates an inverse relationship: as pressure increases, volume decreases, and vice versa.

However, if the graph is plotted between pressure (P) and the inverse of volume (1/V), it will be a straight line with a positive slope, passing through the origin

Explanation

The radius of an atomic orbital increases with the square of the principal quantum number (n).
So, larger values of n result in electrons being farther from the nucleus:

Radius∝n2