NCERT Solutions Class 11 Physics Chapter 5 – Work, Energy and Power

Class 11 Physics · Chapter 5

Work, Energy and Power
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Class 11 Physics Chapter 5 "Work, Energy and Power" Newton ke laws of motion (Chapter 4) ke baad energy ki language introduce karta hai — work, kinetic energy, potential energy (spring + gravitational), power, conservation of mechanical energy, vertical circular motion, aur elastic/inelastic collisions (1D & 2D). Rationalised 2026-27 NCERT edition mein chapter ka core content wahi hai, sirf exercise questions 30 se ghatkar 23 ho gaye hain. Agar tum class 11 physics ncert solutions chapter-by-chapter, step-by-step CBSE marking scheme ke style mein dhoondh rahe ho, ye guide poora solve karti hai — saath hi is chapter ko Chapter 4 (Laws of Motion) aur aage Chapter 6-7 se connect bhi karti hai.

Chapter 4 "Laws of Motion" tak Physics ek hi language bolti thi — force do, acceleration milega. Chapter 5 "Work, Energy and Power" usi motion ko dekhne ka ek doosra, zyada powerful tareeka deta hai: force × displacement = work, aur us work se energy transfer/transform hoti rehti hai system ke andar. Ye sirf ek aur chapter nahi hai — ye poore Class 11-12 mechanics ka backbone hai.

Isko sahi order mein padhne ka fayda hai: agar "units and measurements class 11 important questions" (Chapter 1) aur "class 11 physics chapter 2 motion in a straight line ncert solutions" (Chapter 2) ka base clear hai, aur "motion in a plane projectile motion class 11 solutions" (Chapter 3) mein velocity/displacement vectors confident ho, toh yahan variable-force integration aur work-energy theorem samajhna kaafi smooth ho jaata hai. Isi tarah agar "laws of motion class 11 ncert exemplar" wale friction/circular-motion tricky questions clear hain, toh Chapter 5 ke vertical circular motion aur incline problems easy lagenge.

Aage dekha jaaye toh Chapter 6 "System of Particles and Rotational Motion" (rotational KE isi base pe khada hai), Chapter 7 "Gravitation" (orbital/escape-velocity energy numericals), aur Part II ke "thermodynamics class 11 physics notes" + "kinetic theory of gases class 11 derivation" — sab yahi conservation-of-energy aur elastic-collision logic reuse karte hain. Rationalised 2026-27 syllabus mein standalone "Physical World" chapter hata diya gaya hai, isliye numbering shift hui — pehle ye Chapter 6 tha, ab Chapter 5 hai — lekin content (spring PE, conservative/non-conservative forces, vertical circular motion, elastic-inelastic collisions 1D/2D) waisa hi retained hai.

Chapter 5 Summary — 5 Minute Revision

Chapter 5 teen central ideas pe khada hai. Pehla — work: constant force ke liye W = F·s·cosθ, variable force ke liye W = ∫F(x)dx; sign (positive/negative/zero) angle θ pe depend karta hai. Doosra — work-energy theorem: net work jo kisi body pe hota hai, uski kinetic energy mein utna hi change laata hai (ΔKE = W_net) — ye chapter ka sabse powerful problem-solving tool hai. Teesra — energy conservation: conservative forces (gravity, spring) ke liye potential energy define hoti hai, aur conservative-force-only system mein total mechanical energy (KE+PE) constant rehti hai; non-conservative forces (friction, air resistance) energy ko heat/sound mein dissipate karti hain.

Power (P = W/t = F·v) rate-of-work-done measure karta hai. Vertical circular motion mein top point pe minimum speed condition (v = √(gr)) critical hai. Collisions section mein elastic (KE conserved) vs inelastic (KE nahi conserved, momentum conserved) collisions, coefficient of restitution, aur 1D/2D collision formulas cover hote hain — ye momentum-conservation ke saath milkar poore chapter ka numerical backbone banate hain.

In-Text Questions — Solutions

Ek particle circular path mein constant speed se ghoom raha hai. Centripetal force uspar kaam karti hai — is force dwara kiya gaya work kitna hoga, aur kyun?

Work zero hoga. Centripetal force hamesha velocity (displacement direction) ke perpendicular hoti hai (radius ke along, motion tangent ke along), isliye θ = 90° aur cosθ = 0. W = F·d·cos90° = 0 — chahe force ka magnitude kitna bhi ho, direction perpendicular hone ki wajah se koi kaam nahi hota.

Work ek scalar quantity hai ya vector? Definition se justify karo.

Work scalar hai. W = F·d = Fd cosθ ek dot product (scalar product) hai — do vectors ka dot product hamesha ek number deta hai, koi direction nahi. Work ka sirf magnitude aur sign (+/−) hota hai, koi direction attached nahi hoti.

Kya kisi body ki kinetic energy negative ho sakti hai? Reason do.

Nahi. KE = ½mv², jisme mass (m) hamesha positive hai aur v² (velocity ka square) bhi hamesha ≥ 0 hai — chahe velocity ki direction kuch bhi ho. Isliye KE ki value hamesha zero ya positive hi hoti hai, kabhi negative nahi.

Potential energy kabhi negative kyun likhi jaati hai — kya iska matlab energy 'kam' hai?

Negative sign sirf reference point (zero-level) ke choice pe depend karta hai, kisi absolute physical shortage pe nahi. Zameen ke paas U = mgh mein ground ko reference (U=0) le kar U positive nikalta hai, jabki gravitation ke universal formula U = −GMm/r mein infinity ko reference (U=0) liya jaata hai — isliye finite r pe U negative aata hai. Dono correct hain, bas reference alag hai.

Work-energy theorem ka practical fayda kya hai — hum seedha Newton's second law se motion solve kyun nahi karte?

Jab force x ke saath change hoti hai (variable force), toh time ke function mein motion solve karna mushkil hota hai. Work-energy theorem (ΔKE = ∫F dx) directly initial aur final speed ko force-displacement relation se jodta hai — bina poori time-dependent kinematics likhe hi answer mil jaata hai. Yehi is chapter ka sabse bada shortcut hai.

Gas molecules ke collisions ko elastic maana jaata hai, lekin car crash ya clay balls ka collision inelastic hota hai — farak kyun?

Macroscopic collisions (car, clay) mein kinetic energy ka kuch hissa deformation, heat aur sound mein permanently kho jaata hai — is wajah se woh inelastic hain. Ideal gas ke molecules ke beech collision mein (jo kinetic theory of gases ki derivation ka base hai) koi internal energy mode excite nahi hota, toh total KE conserved rehti hai — isliye woh perfectly elastic maane jaate hain.

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Exercise Questions — Solutions (Q1–Q23)

Q1. Bataiye ki neeche diye gaye har case mein kiya gaya work positive, negative ya zero hai, reason ke saath: (a) bucket ko rope se seedha upar khींchte waqt aadmi dwara kiya gaya work (b) usi case mein gravity dwara kiya gaya work (c) inclined plane pe neeche slide karte body pe friction ka work (d) rough horizontal surface pe constant velocity se move karte body pe applied force ka work (e) oscillating pendulum ko rest tak laane mein air resistance ka work.

(a) Positive — applied force aur displacement dono upar ki taraf hain (θ=0°). (b) Negative — gravity neeche, displacement upar (θ=180°). (c) Negative — friction motion ka virodh karti hai, hamesha velocity ke opposite. (d) Positive — applied force displacement ki direction mein hai (friction overcome karne ke liye). (e) Negative — air resistance hamesha motion ke opposite kaam karti hai, isliye pendulum ki energy ghatati hai.

Q2. Ek body z-axis ke saath constrained hai aur uspar constant force F = (−î·1 + ĵ·2 + k̂·5) N kaam kar raha hai. Body z-axis ke saath 4 m displace hoti hai. Force dwara kiya gaya total work nikaalo.

Sirf z-component of force hi z-direction ke displacement ke saath work karega (i aur j components displacement ke perpendicular hain).

W = F_z × d = 5 N × 4 m = 20 J

Q3. 2 kg ki body rest se shuru hokar 7 N horizontal force ke under table pe move karti hai; μ_k = 0.1. Nikaalo: (a) 10 s mein applied force ka work (b) friction ka work (c) net force ka work (d) KE mein change, aur verify karo (c) aur (d) match karte hain.

f = μmg = 0.1×2×9.8 = 1.96 N

a = (7 − 1.96)/2 = 2.52 m/s²

s = ½at² = ½×2.52×10² = 126 m

(a) W_applied = 7×126 = 882 J<br/>(b) W_friction = −1.96×126 = −246.96 J<br/>(c) W_net = 882 − 246.96 = 635.04 J<br/>(d) v = at = 25.2 m/s ⇒ ΔKE = ½×2×25.2² = 635.04 J — matches W_net, confirming work-energy theorem.

Q4. k = 1200 N/m wale spring ko 0.02 m se 0.04 m tak stretch karne mein external agent ne kitna work kiya (quasi-static process, spring already unstretched se 0.02 m tak stretched state se aage)?

Spring PE formula se:

W = ½k(x₂² − x₁²) = ½×1200×(0.04² − 0.02²) = ½×1200×(0.0016 − 0.0004) = ½×1200×0.0012 = 0.72 J

Q5. 10 g ki bullet 400 m/s se ek wooden block se takrati hai aur 10 cm penetrate karke rukh jaati hai. Block dwara lagaya average resistive force nikaalo.

Work-energy theorem: bullet ki poori KE resistive force ke against kiye gaye work mein convert hoti hai.

KE = ½×0.01×400² = 800 J

F × 0.1 = 800 ⇒ F = 8000 N

Q6. 5 kg block ek 30° rough incline pe (length 10 m, μ_k=0.2) rest se slide karta hai. Work-energy theorem use karke bottom pe speed nikaalo.

W_gravity = mg sinθ × d = 5×9.8×0.5×10 = 245 J

f = μmg cosθ = 0.2×5×9.8×0.866 = 8.49 N; W_friction = −8.49×10 = −84.9 J

W_net = 245 − 84.9 = 160.1 J = ½×5×v² ⇒ v = ≈8.0 m/s

Q7. Ek pump 15 m gehre well se 30 kg/s paani lift karke 20 m/s speed se eject karta hai. Pump ki power calculate karo.

Power = rate of PE gain + rate of KE gain:

P = (dm/dt)(gh + ½v²) = 30×(9.8×15 + ½×400) = 30×(147+200) = 30×347 = 10410 W ≈ 10.4 kW

Q8. Ek turbine pe 60 m height se 15 kg/s paani girta hai; generator 30% efficiency se electric energy mein convert karta hai. Generated power nikaalo.

Available power = (dm/dt)gh = 15×9.8×60 = 8820 W

Useful power = 0.30×8820 = 2646 W ≈ 2.65 kW

Q9. 1 kg body ko 10 J KE ke saath vertically upar throw kiya jaata hai. Air resistance constant 0.6 J/m hai. Maximum height nikaalo.

Work-energy theorem: initial KE = gravity ke against work + air resistance ke against work

10 = (mg + f)h = (1×9.8 + 0.6)h = 10.4h ⇒ h = 0.96 m

Q10. Do identical 5 kg blocks — ek 6 m/s se move karta hua doosre stationary block se perfectly elastic head-on collision karta hai. Dono blocks ki final velocities nikaalo.

Equal-mass elastic collision ki special property: velocities exchange ho jaati hain.

v₁' = 0 (moving block ruk jaata hai), v₂' = 6 m/s (stationary block move karne lagta hai)

Q11. 20 g ki bullet 500 m/s se 4 kg ke suspended wooden block mein embed ho jaati hai (ballistic pendulum). Block dwara rise ki gayi max height aur KE loss ka % nikaalo.

Momentum conservation (perfectly inelastic):

v = (0.02×500)/(4.02) = 2.49 m/s

h = v²/2g = 2.49²/19.6 = 0.316 m

KE_initial = ½×0.02×500² = 2500 J; KE_final = ½×4.02×2.49² = 12.47 J

% loss = (2500−12.47)/2500 × 100 = ≈99.5%

Q12. Ek ball 2 m height se dropped hokar 1.28 m tak rebound karti hai. Coefficient of restitution (e) nikaalo.

e = √(h₂/h₁) = √(1.28/2) = √0.64 = 0.8

Q13. 1 m radius ki rope pe paani-bhari bucket vertical circle mein ghumayi jaati hai. Top point pe minimum speed (jisse paani na girey) aur corresponding bottom-point speed nikaalo.

v_top(min) = √(gr) = √(9.8×1) = 3.13 m/s

Energy conservation top se bottom tak (h=2r):

v_bottom² = v_top² + 4gr = 9.8 + 39.2 = 49 ⇒ v_bottom = 7 m/s

Q14. Ek particle x-axis ke saath F = (3x² + 2x) N variable force ke under move karta hai. x = 1 m se x = 3 m tak kiya gaya work nikaalo.

W = ∫₁³(3x² + 2x)dx = [x³ + x²]₁³ = (27+9) − (1+1) = 36 − 2 = 34 J

Q15. 3 kg ka rest state shell explode hokar 1 kg aur 2 kg ke do fragments mein toot jaata hai; total KE released 300 J hai. Har fragment ki speed nikaalo.

Momentum conservation: m₁v₁ = m₂v₂ ⇒ v₁ = 2v₂

½(1)(2v₂)² + ½(2)(v₂)² = 300 ⇒ 2v₂² + v₂² = 300 ⇒ v₂² = 100

v₂ = 10 m/s (2 kg fragment), v₁ = 20 m/s (1 kg fragment)

Q16. Do equal-mass billiard balls ka glancing elastic collision hota hai — ek stationary ball ko doosri moving ball hit karti hai aur dono 30° aur 60° ke angles pe original line se move karti hain. Verify karo ki dono ek-doosre se perpendicular direction mein move kar rahi hain.

Equal-mass elastic oblique collision ki property yeh hai ki jab ek ball stationary target se takrati hai, dono resultant velocities hamesha ek-doosre ke perpendicular hoti hain.

30° + 60° = 90° — verified, jo is property ko confirm karta hai.

Q17. Ek truck aur ek car ki KE same hai, aur dono ko same braking force se rokа jaata hai. Kaunsi zyada distance mein rukegi? Kaunsi zyada time legi? Reason do.

Distance: Work-energy theorem se F×d = KE. F aur KE dono same hain, isliye dono ka stopping distance same hoga.

Time: Impulse-momentum: F×t = Δp. Same KE par truck ka mass zyada hai toh momentum (p=√(2mKE)) bhi zyada hoga — isliye truck ko rukne mein zyada time lagega, chahe distance same ho.

Q18. Ek body rest se constant power source ke under move karti hai. Prove karo ki t time mein cover ki gayi distance, t^(3/2) ke proportional hoti hai.

P = Fv = m(dv/dt)v ⇒ v dv = (P/m)dt. Integrate karne pe:

v²/2 = (P/m)t ⇒ v = √(2Pt/m)

Ab s = ∫v dt = √(2P/m) ∫t^(1/2) dt = √(2P/m) × (2/3)t^(3/2)

s ∝ t^(3/2) — proved.

Q19. 1500 kg ki car 20 m/s constant speed se move karti hai; resistive force (friction+air) 750 N hai. Engine ki power nikaalo (a) level road pe (b) 1-in-20 incline pe.

(a) Level road: P = F×v = 750×20 = 15000 W = 15 kW

(b) Incline: gravity component = mg×(1/20) = 1500×9.8×0.05 = 735 N

Total F = 750+735 = 1485 N ⇒ P = 1485×20 = 29700 W ≈ 29.7 kW

Q20. Spring-loaded toy gun mein k=50 N/m ka spring 0.1 m compress karke 0.02 kg ka dart launch karta hai. Assume karo poori spring PE dart ki KE mein convert hoti hai — dart ki launch speed nikaalo.

½kx² = ½mv² ⇒ v = x√(k/m) = 0.1×√(50/0.02) = 0.1×50 = 5 m/s

Q21. True/False batao, reason ke saath: (a) system ki total energy hamesha conserved rehti hai, chahe internal/external forces kuch bhi ho (b) closed loop motion mein har force ka work zero hota hai (c) inelastic collision mein total KE, total momentum aur total energy — teeno hi unchanged rehte hain.

(a) False — total mechanical energy sirf conservative forces ke case mein conserved hoti hai; friction/air-resistance jaisi non-conservative forces energy ko heat mein dissipate karti hain (though total energy including heat hamesha conserved hai — law of conservation of energy universal hai, lekin mechanical energy nahi).

(b) False — sirf conservative forces (jaise gravity) ke liye closed-loop work zero hota hai; friction jaisi non-conservative force ka closed-loop work zero nahi hota.

(c) False — inelastic collision mein total KE conserve nahi hoti (kuch heat/deformation mein chali jaati hai); sirf total momentum aur total energy (including heat) conserved rehte hain.

Q22. Ek particle ki total mechanical energy E = 4 J hai, aur uski potential energy function V(x) = x²/2 J hai. Turning points (classically forbidden region ki boundary) nikaalo.

Turning point wahan hota hai jahan KE = 0, yaani V(x) = E:

x²/2 = 4 ⇒ x² = 8 ⇒ x = ±2.83 m

|x| > 2.83 m wala region classically forbidden hai kyunki wahan V(x) > E hoga, jisse KE negative ho jaayegi — jo physically possible nahi hai.

Q23. Kinetic energy (KE) aur potential energy (PE) mein se kaunsi quantity negative ho sakti hai, aur kyun?

KE kabhi negative nahi ho sakti (KE=½mv², v² ≥0 hamesha). PE negative ho sakti hai — kyunki PE ki value chosen reference point (zero-level) pe depend karti hai. Reference se neeche ke position pe PE negative aa sakti hai (jaise gravitational PE U=−GMm/r, infinity ko reference lekar).

Important Equations — Ek Nazar Me

ConceptFormulaNotes
Work (constant force)W = F·s·cosθθ = angle between force & displacement; scalar (dot product)
Work (variable force)W = ∫x₁x₂ F(x) dxArea under F-x graph
Kinetic energyKE = ½mv²Always ≥ 0
Work-energy theoremWnet = KEf − KEiApplies for constant & variable force both
Gravitational PE (near surface)U = mghReference: ground, U=0
Spring PEU = ½kx²k = spring constant, x = extension/compression
Conservation of mechanical energyKEi+Ui = KEf+UfOnly when conservative forces act (no friction/drag)
Average powerP = W/tSI unit: watt (W); 1 HP = 746 W
Instantaneous powerP = F·v = Fv cosθDot product of force & velocity
Perfectly inelastic collision (1D)v = (m₁v₁+m₂v₂)/(m₁+m₂)Bodies stick together; KE not conserved
Elastic collision (1D, m₂ at rest)v₁' = [(m₁−m₂)/(m₁+m₂)]v₁ ; v₂' = [2m₁/(m₁+m₂)]v₁Both KE & momentum conserved
Coefficient of restitutione = (v₂'−v₁')/(v₁−v₂)e=1 → perfectly elastic; e=0 → perfectly inelastic
Vertical circle — min speed at topvtop(min) = √(gr)Condition: gravity alone provides centripetal force
Vertical circle — top-bottom energy relationvbottom² = vtop² + 4grFrom energy conservation over height 2r

↔ Table ko side me swipe karein

Common Mistakes — Yahan Marks Kat te Hain

  1. Sign confusion in work: students yeh maan lete hain ki gravity ka work hamesha positive ya hamesha negative hota hai — asal mein yeh displacement ki direction pe depend karta hai (upar jaate waqt negative, neeche aate waqt positive).
  2. Work-energy theorem ko sirf constant force ke liye samajhna — bhool jaate hain ki yeh variable force (integration ke through) ke liye bhi equally valid hai.
  3. Elastic aur inelastic collision mein confuse ho jaana — elastic collision mein 'momentum + KE' dono conserve hote hain, jabki inelastic mein sirf momentum conserve hota hai, KE nahi.
  4. Vertical circular motion mein top point pe minimum speed condition bhool jaana — v=0 use kar lete hain jabki correct minimum condition v=√(gr) hai (gravity hi centripetal force provide karti hai).
  5. Potential energy ka negative sign dekhkar 'energy negative hai' bol dena — jabki yeh sirf reference-point ke choice ka result hai, physical quantity ka absolute shortage nahi.
  6. Power ko sirf P=W/t (average power) tak limit rakhna, instantaneous power P=F·v (jab force aur velocity angle bana rahe hon) bhool jaana — especially incline/circular motion problems mein error aata hai.

Board-Style Important Questions

Note: Ye CBSE board ke pattern par bane practice questions hain — inhe marks-wise arrange kiya gaya hai. Ye kisi ek saal ka verified previous-year paper nahi hai. Asli PYQ ke liye CBSE ki official website ya apni school se past papers lijiye.
  • 1 mark: Assertion-Reason: Assertion (A) — Work done by a force can be zero even when both the force and the displacement are non-zero. Reason (R) — Work depends on the angle between the force and displacement vectors. <br/>Answer: Both A and R are true, and R correctly explains A — jab θ=90° (force displacement ke perpendicular hai, jaise centripetal force ya coolie horizontal displacement mein vertical load carry karte waqt), tab cosθ=0 aur W=0, chahe F aur d dono non-zero hon.
  • 2 marks: Coefficient of restitution define karo. Perfectly elastic aur perfectly inelastic collision ke liye iski value kya hogi? <br/>Answer: e = (relative velocity of separation)/(relative velocity of approach) = (v₂'−v₁')/(v₁−v₂). Perfectly elastic collision ke liye e = 1 (relative speed unchanged). Perfectly inelastic collision ke liye e = 0 (bodies ek saath chalti hain, koi separation velocity nahi).
  • 3 marks: k spring-constant wale spring ko x distance stretch karne mein stored potential energy ke liye expression derive karo, assumptions clearly state karte hue. <br/>Answer: Hooke's law se, x displacement pe restoring force F=−kx, isliye stretch karne ke liye applied force = kx (quasi-static, spring massless aur ideal). Work done: W=∫₀ˣ kx dx = ½kx². Yehi work spring mein PE ke roop mein store ho jaata hai: U=½kx². Assumption: spring ideal (massless), stretching quasi-static (koi KE gain nahi hoti process ke dauran), aur elastic limit ke andar hai.
  • 3 marks: Ek body h height se drop hoti hai aur ground pe 0.9√(2gh) speed se pahunchti hai. Air resistance ki wajah se energy loss ko mgh ke terms mein calculate karo. <br/>Answer: KE at ground = ½m(0.9√(2gh))² = ½m×0.81×2gh = 0.81mgh. Bina resistance ke KE hoti mgh (free fall). Energy lost = mgh − 0.81mgh = 0.19mgh (19%).
  • 5 marks: Ek dimension mein move karte particle ke liye variable force ke case mein work-energy theorem state aur derive karo. Isse apply karke, μ friction wale θ angle, l length ke rough incline se neeche slide karte body ki bottom-point speed nikaalo (rest se start).<br/>Answer: Derivation: F=ma=m(dv/dt)=mv(dv/dx). Integrate: ∫F dx = ∫mv dv = ½mvf²−½mvi², yaani W=ΔKE. Application: W_net = mgl sinθ − μmgl cosθ = ½mv² (v_i=0). Solving: v = √[2gl(sinθ − μcosθ)].
  • 5 marks: Masses m₁ aur m₂ ke do particles one-dimensional elastic collision karte hain. Unki collision ke baad velocities ko initial velocities ke terms mein derive karo.<br/>Answer: Momentum conservation: m₁u₁+m₂u₂=m₁v₁+m₂v₂. KE conservation: ½m₁u₁²+½m₂u₂²=½m₁v₁²+½m₂v₂². In do equations ko solve karne se: v₁=[(m₁−m₂)u₁+2m₂u₂]/(m₁+m₂), v₂=[(m₂−m₁)u₂+2m₁u₁]/(m₁+m₂). Agar m₂ rest pe ho (u₂=0), yeh standard result v₁'=[(m₁−m₂)/(m₁+m₂)]u₁ aur v₂'=[2m₁/(m₁+m₂)]u₁ deta hai.

Aksar Poochhe Jaane Wale Sawaal

Class 11 Physics Chapter 5 Work Energy and Power mein rationalised 2026-27 syllabus ke hisaab se kitne exercise questions hain?

Rationalised 2026-27 NCERT edition mein is chapter ke exercise questions 30 se ghatkar 23 ho gaye hain. Core concepts — work-energy theorem, spring PE, conservative/non-conservative forces, vertical circular motion, elastic-inelastic collisions (1D aur 2D) — sab retained hain, sirf question count trim hua hai.

Kya 'Physical World' chapter delete hone se is chapter ka number change hua hai?

Haan. Purani (15/16-chapter, do-parts wali) numbering mein 'Work, Energy and Power' Chapter 6 tha. Rationalised syllabus mein standalone 'Physical World' chapter puri tarah drop kar diya gaya, isliye 'Units and Measurements' ab Chapter 1 hai, aur 'Work, Energy and Power' Chapter 5 ban gaya hai. Poori updated chapter list ke liye 'class 11 physics all chapters pdf 2026-27' search karke ncert.nic.in ki official PDF se cross-verify kar lena best hai.

CBSE board exam mein is chapter ka weightage (marks) kitna hota hai?

NCERT/CBSE har saal ka fixed chapter-wise marks-weightage publicly ek single number ke roop mein publish nahi karta — 'class 11 physics chapter wise weightage cbse' ke liye sabse reliable source current academic year ka official CBSE sample paper aur marking scheme hi hai. Isliye yahan koi specific number claim nahi kiya ja raha — latest sample paper check karna recommended hai.

Chapter 4 Laws of Motion aur Chapter 5 Work Energy Power padhne ka sahi order kya hai?

Chapter 4 pehle karna better hai — force, friction, aur circular motion ke basics wahin build hote hain. Agar 'laws of motion class 11 ncert exemplar' wale tricky friction/circular-motion questions confident lagte hain, toh Chapter 5 ke work-energy aur vertical-circle problems bahut smoothly samajh aate hain, kyunki yeh wahi forces ko energy ke lens se dekhta hai.

Is chapter ke baad kaunse chapters directly is content pe build karte hain?

Chapter 6 'System of Particles and Rotational Motion' ('system of particles and rotational motion important formulas' — rotational KE isi base pe hai), Chapter 7 'Gravitation' ('gravitation class 11 numericals with solutions' — orbital/escape-velocity energy), aur Part II ke 'thermodynamics class 11 physics notes', 'kinetic theory of gases class 11 derivation' (elastic-collision assumption), 'oscillations class 11 physics important questions', aur Chapter 9 'Mechanical Properties of Fluids' ('mechanical properties of fluids class 11 numericals' — Bernoulli's theorem bhi energy-conservation hi hai) — sab yahi concept reuse karte hain.

Is chapter se pehle Motion in a Straight Line aur Motion in a Plane revise karna zaroori hai kya?

Haan, especially variable-force ka integration aur projectile-motion ke velocity/displacement components. 'class 11 physics chapter 2 motion in a straight line ncert solutions' aur 'motion in a plane projectile motion class 11 solutions' quickly revise kar lena chahiye, kyunki work-energy theorem apply karte waqt yehi base concepts baar-baar use hote hain.

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