Physics numericals, Chemistry equations, and Biology concepts — practice sets across all boards.
Answer: $a = 1\text{ m/s}^2$, $s = 37.5\text{ m}$
Convert to m/s: $u = 5\text{ m/s}$, $v = 10\text{ m/s}$. $a = \frac{v-u}{t} = \frac{10-5}{5} = 1\text{ m/s}^2$. $s = ut + \frac{1}{2}at^2 = 5(5) + \frac{1}{2}(1)(25) = 25 + 12.5 = 37.5\text{ m}$
Answer: $0.5\text{ m/s}$ (backward)
Conservation of momentum: $m_b v_b + m_g v_g = 0$. $0.01 \times 200 + 4 \times v_g = 0$. $v_g = -\frac{2}{4} = -0.5\text{ m/s}$
Answer: $4\text{ seconds}$
$h = \frac{1}{2}gt^2$, so $80 = \frac{1}{2} \times 10 \times t^2$, $80 = 5t^2$, $t^2 = 16$, $t = 4\text{ s}$
Answer: $v = -60\text{ cm}$ (Real, inverted, magnified), $m = -2$
$\frac{1}{f} = \frac{1}{v} + \frac{1}{u}$. $\frac{1}{-20} = \frac{1}{v} + \frac{1}{-30}$. $\frac{1}{v} = \frac{-1}{20} + \frac{1}{30} = \frac{-3+2}{60} = \frac{-1}{60}$. $v = -60\text{ cm}$. $m = -\frac{v}{u} = -\frac{-60}{-30} = -2$
Answer: $5\text{ A}$
$\frac{1}{R_p} = \frac{1}{4} + \frac{1}{6} = \frac{3+2}{12} = \frac{5}{12}$. $R_p = \frac{12}{5} = 2.4\;\Omega$. $I = \frac{V}{R} = \frac{12}{2.4} = 5\text{ A}$
Answer: $F = 0.4\text{ N}$
Fleming's Left Hand Rule: Thumb (Force), Forefinger (Field), Middle finger (Current). $F = BIL = 0.2 \times 4 \times 0.5 = 0.4\text{ N}$
Answer: $3\text{Fe} + 4\text{H}_2\text{O} \rightarrow \text{Fe}_3\text{O}_4 + 4\text{H}_2$
Answer: pH = $9$, Basic
$\text{pH} = -\log[\text{H}^+] = -\log(10^{-9}) = 9$. Since pH > 7, the solution is basic.
Sodium is highly reactive and catches fire on contact with moisture in air. Reaction: $2\text{Na} + 2\text{H}_2\text{O} \rightarrow 2\text{NaOH} + \text{H}_2 \uparrow$ (vigorous, exothermic)
Formula: $\text{C}_2\text{H}_6$. Structure: Each carbon forms 4 covalent bonds — one C–C bond and three C–H bonds per carbon. All 8 atoms satisfy the octet/duet rule.
Answer: Chlorine (Cl). Group 17, Period 3, Non-metal.
Electronic configuration: 2, 8, 7. 7 valence electrons → Group 17 (Halogen). 3 shells → Period 3.
$6\text{CO}_2 + 12\text{H}_2\text{O} \xrightarrow[\text{Chlorophyll}]{\text{Sunlight}} \text{C}_6\text{H}_{12}\text{O}_6 + 6\text{O}_2 + 6\text{H}_2\text{O}$. Occurs in chloroplasts. Raw materials: COâ‚‚ (from air through stomata) and Hâ‚‚O (from soil through roots). Products: Glucose and Oxygen.
A reflex arc is the neural pathway that controls a reflex action. Path: Receptor → Sensory neuron → Spinal cord → Motor neuron → Effector (muscle/gland). Example: Touching a hot object → hand withdraws instantly. The spinal cord processes this without involving the brain, making it faster.
Answer: $3:1$ (Tall : Dwarf)
P: TT × tt. F1: All Tt (tall). F2: Self-cross Tt × Tt → TT, Tt, Tt, tt. Genotypic ratio 1:2:1, Phenotypic ratio 3 Tall : 1 Dwarf.
1. Mitochondria: site of cellular respiration; Chloroplasts: site of photosynthesis. 2. Mitochondria present in both plant and animal cells; Chloroplasts only in plant cells. 3. Mitochondria release energy (ATP); Chloroplasts trap solar energy.
Pulmonary circulation: Right ventricle → Pulmonary artery → Lungs (oxygenation) → Pulmonary veins → Left atrium. Systemic circulation: Left ventricle → Aorta → Body tissues → Vena cava → Right atrium. This is double circulation — blood passes through the heart twice per complete cycle.