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Parliament House (Sansad Bhavan), New Delhi:
- Architect: Sir Herbert Baker
- Completed in 1927 during British India.
- Circular building with a colonnaded verandah.
- India Gate and Rashtrapati Bhavan (President's residence) were designed by Edwin Lutyens.
- The two architects (Lutyens + Baker) together planned most of New Delhi's central administrative area.
The APGAR Score assesses 5 parameters at 1 and 5 minutes:
| Parameter | Score 0 | Score 1 | Score 2 | This Baby | Score |
|---|---|---|---|---|---|
| Appearance (color) | All blue/pale | Blue extremities only | Completely pink | Blue hands/feet only | 1 |
| Pulse (HR) | Absent | <100/min | ≥100/min | 96/min | 1 |
| Grimace (reflex) | No response | Grimace | Cry/cough/sneeze | Grimace | 1 |
| Activity (tone) | Limp | Some flexion | Active motion | Some flexion | 1 |
| Respiration | Absent | Weak/irregular cry | Strong cry | Weak cry | 1 |
Total APGAR = \(1+1+1+1+1 = 5\) — Wait, let's recount: Appearance=1, Pulse=1, Grimace=1, Activity=1, Respiration=1 = 5+1=6?
Reassessment: Appearance (acrocyanosis)=1, HR 96 (<100)=1, Grimace=1, Some flexion=1, Weak cry=1 → Total = 6
Score 7–10: Normal | Score 4–6: Moderate depression (stimulate, O₂) | Score 0–3: Severe (immediate resuscitation)
A projectile is thrown at angles $(45°-\theta)$ and $(45°+\theta)$ with the horizontal. The ratio of their horizontal ranges is:
Using $R = \dfrac{u^2\sin2\alpha}{g}$:
$R_1 = \dfrac{u^2\sin(90°-2\theta)}{g} = \dfrac{u^2\cos2\theta}{g}$
$R_2 = \dfrac{u^2\sin(90°+2\theta)}{g} = \dfrac{u^2\cos2\theta}{g}$
$R_1 : R_2 = \mathbf{1:1}$
Reaction (b): \(\text{Ag}_2\text{O}\) is reduced to Ag (\(\text{Ag}^+\) → \(\text{Ag}^0\)) while \(\text{H}_2\text{O}_2\) provides oxygen → \(\text{H}_2\text{O}_2\) acts as oxidising agent
\(\text{H}_2\text{O}_2\) is amphoteric (can act as both oxidant and reductant depending on partner).
Young's Formula for pediatric dosage calculation:
\[\text{Child's dose} = \frac{\text{Age (years)}}{\text{Age (years)} + 12} \times \text{Adult dose}\]
Calculation:
\[\text{Child's dose} = \frac{6}{6 + 12} \times 300\,\text{mg}\]
\[= \frac{6}{18} \times 300\,\text{mg}\]
\[= \frac{1}{3} \times 300\,\text{mg} = 100\,\text{mg}\]
Other pediatric dose formulas:
| Formula | Method |
|---|---|
| Young's | \(\dfrac{\text{Age}}{\text{Age}+12} \times \text{Adult dose}\) (for children) |
| Dilling's | \(\dfrac{\text{Age}}{20} \times \text{Adult dose}\) |
| Clark's (weight) | \(\dfrac{\text{Weight (kg)}}{70} \times \text{Adult dose}\) |
| Fried's (infants) | \(\dfrac{\text{Age (months)}}{150} \times \text{Adult dose}\) |
| BSA method | \(\dfrac{\text{Child's BSA (m}^2\text{)}}{1.73} \times \text{Adult dose}\) — most accurate |
BSA-based dosing is most precise in clinical practice. Young's formula is used when weight is unavailable.
A ball is dropped from rest at $t = 0$. After 6 s, another ball is thrown downward from the same point with speed $v$. Both balls meet at $t = 18\text{ s}$. Find $v$ ($g = 10\text{ m/s}^2$).
Ball 1 falls for 18 s: $h_1 = \dfrac{1}{2}(10)(18)^2 = 1620\text{ m}$
Ball 2 falls for $18 - 6 = 12\text{ s}$: $h_2 = 12v + \dfrac{1}{2}(10)(12)^2 = 12v + 720$
Setting $h_1 = h_2$: $12v + 720 = 1620 \Rightarrow 12v = 900 \Rightarrow v = \mathbf{75\text{ m/s}}$
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