[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-315618-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-315618-en":131},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","physics-formula-booklet-gyaan-sutra-unit-and-dimensions","PHYSICS FORMULA BOOKLET-GYAAN SUTRA - UNIT AND DIMENSIONS","","Physics formula booklet compiling core principles and key results across mechanics, waves, electricity and magnetism, optics, and modern physics. It begins with units and SI fundamentals, supplementary units, and metric prefixes, then summarizes motion concepts including average/instantaneous velocity and acceleration, graphs for uniformly accelerated motion, and standard equations of motion. Subsequent sections cover projectile motion with vector relations, relative motion and crossing-river and rain-type problems, Newton’s laws, and additional mechanics formulae such as spring force and spring balance.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/physics-formula-booklet-gyaan-sutra-unit-and-dimensions/315618/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/physics-formula-booklet-gyaan-sutra-unit-and-dimensions/315618.png","ImageObject",300,407,{"name":42,"@type":43},"Skyler","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-22","2026-09-20",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",15,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What does the booklet cover in the Unit and Dimensions section?","Question",{"text":63,"@type":64},"It explains units for measuring physical quantities, listing fundamental and supplementary SI units and the metric prefixes with their symbols and values.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"Which motion formulas are summarized for rectilinear motion?",{"text":68,"@type":64},"It provides expressions for average velocity and speed, instantaneous velocity, average and instantaneous acceleration, and the equations of motion for constant acceleration, including free-fall cases.",{"name":70,"@type":61,"acceptedAnswer":71},"How are projectile motion and vector results presented?",{"text":72,"@type":64},"It lists time of flight, horizontal range, maximum height, and trajectory/path equation, and includes projection on an inclined plane with range-related relationships.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},315618,1789994605,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,127],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":124,"slug":126},10,"Lifestyle","lifestyle",{"id":128,"doc_module":4,"doc_module_name":25,"category_name":129,"show_sort_weight":96,"slug":130},19,"General","general",{"code":4,"msg":82,"data":132},{"doc_id":79,"user_id":133,"nickname":42,"user_avatar":134,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":140,"language":141,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":142,"faqs":143,"seo_title":144,"seo_description":12,"update_tm":145,"read_time":146,"preview_page_count":4},2336464648746,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","PHYSICS  \nFORMULA BOOKLET-GYAAN SUTRA  \nINDEX  \nS. No.  \nTopic  \nPage No.  \n1. Unit and Dimension 2  \n2. Rectilinear Motion 3 – 4  \n3. Projectile Motion & Vector 5 – 5  \n4. Relavitve Motion 5 – 7  \n5. Newton’s Laws of Motion 7 – 9  \n6. Friction 9 – 9  \n7. Work, Power & Energy 10– 11  \n8. Circular Motion 11– 14  \n9. Centre of Mass 14– 18  \n10. Rigid Body Dynamics 18– 25  \n11. Simple Harmonic Motion 26– 28  \n12. Sting Wave 29– 31  \n13. Heat & Thermodynamics 31– 37  \n14. Electrostatics 37–40  \n15. Current Electricity 41–47  \n16. Capacitance 47– 51  \n17. Alternating Current 52– 54  \n18. Magnetic Effect of Current & Magnetic force on charge 54– 56  \n19. Electromagnetic Induction 56– 59  \n20. Geometrical Optics 59– 66  \n21. Modern Physics 67– 70  \n22. Wave Optics 70– 73  \n23. Gravitation 73– 75  \n24. Fluid Mechanics & Properties of Matter 75– 77  \n25. Sound Wave 77– 79  \n26. Electro Magnetic Waves 79– 80  \n27. Error and Measurement 80– 81  \n28. Principle of Communication 82– 83  \n29. Semiconductor 84– 85  \nPHYSICS  \nFORMULA BOOKLET-GYAAN SUTRAA  \nUNIT AND DIMENSIONS  \nUnit :  \nMeasurement of any physical quantity is expressed in terms of an internationally accepted certain basic standard called unit.  \n* Fundamental Units.  \n\n| S. No. | Physical Quantity | SI Unit | Symbol |\n| --- | --- | --- | --- |\n| 1 | Length | Metre | m |\n| 2 | Mass | Kilogram | Kg |\n| 3 | Time | Second | S |\n| 4 | Electric Current | Ampere | A |\n| 5 | Temperature | Kelvin | K |\n| 6 | Luminous Intensity | Candela | Cd |\n| 7 | Amount of Substance | Mole | mol |\n\n*  \nSupplementary Units :  \n\n| S. No. | Physical Quantity | SI Unit | Symbol |\n| --- | --- | --- | --- |\n| 1 | Plane Angle | radian | r |\n| 2 | Solid Angle | Steradian | Sr |\n\n*  \nMetric Prefixes :  \n\n| S . No . | Prefix | Sym bo l | Value |\n| --- | --- | --- | --- |\n| 1 | Centi | c | 10–2 |\n| 2 | M ili | m | 10–3 |\n| 3 | M icro | µ | 10–6 |\n| 4 | Nano | n | 10–9 |\n| 5 | Pico | p | 10–12 |\n| 6 | K ilo | K | 103 |\n| 7 | Mega | M | 106 |\n\nRECTILINEAR MOTION  \nAverage Velocity (in an interval) :   \n~~ ~~  Total displacement  = rf 􀀐 ri   \nvav = v = \u003Cv> = Total time taken 􀀧t  \nAverage Speed (in an interval)  \nTotal distance travelled  \nAverage Speed = Total time taken  \nInstantaneous Velocity (at an instant) :  \n􀀦  \nvinst =  \nlim  \n􀀧t 􀁯 0  \n􀂧 􀀧 􀂷􀂨􀂩 􀀧t 􀂹􀂸  \nAverage acceleration (in an interval):  \n􀀦  􀀧    f 􀀐 i   \naav = 􀀧t = 􀀧t Instantaneous Acceleration (at an instant):  \n􀀦  \na  \nd  \n= dt =  \nlim  \n􀀧t􀁯0  \n􀂧􀂨 􀀧v 􀂷􀂸􀂨􀂩􀀧t 􀂹􀂸  \nGraphs in Uniformly Accelerated Motion along a straight line (a 􀁺 0)  \n􀁸 x is a quadratic polynomial in terms of t. Hence x 􀀐 t graph is a parabola.  \nx-t graph  \n􀁸 v is a linear polynomial in terms of t. Hence v􀀐t graph is a straight line of slope a.  \nPage \\# 3  \nv-t graph  \n􀁸 a􀀐t graph is a horizontal line because a is constant.  \na-t graph  \nMaxima & Minima  \ndydx = 0 & ~~ ~~ddx 􀂨􀂧􀂩~~ ~~dydx~~ ~~􀂷􀂹􀂸 \u003C 0 at maximum  \ndy d 􀂧 dy 􀂷  \nand dx = 0 &  dx 􀂩􀂨 dx 􀂹􀂸 > 0 at minima.  \nEquations of Motion (for constant acceleration)  \n(a) v = u + at  \n(b) s = ut + 12 at2 s = vt 􀀐 12 at2 xf = xi + ut + 12 at2  \n(c) v2 = u2 + 2as  \n(d) s = (u~~ ~~􀀎2~~ ~~v~~ ~~) t (e) sn = u + a2 (2n 􀀐 1) For freely falling bodies : (u = 0)(taking upward direction as positive)  \n(a) v = – gt  \n(b) s = –~~ ~~12 gt2 s = vt 􀀎 12 gt2 hf = hi – 12 gt2  \n(c) v2 = – 2gs  \n(d) sn = –~~ ~~g2 (2n 􀀐 1)  \nPROJECTILE MOTION & VECTORS  \nTime of flight : T = ~~ ~~2usgin~~ ~~􀁔  \nu2 sin 2􀁔  \nHorizontal range : R =  \ng  \nMaximum height : H = u2~~ ~~s2ing2~~ ~~􀁔 Trajectory equation (equation of path) :  \ny = x tan 􀁔 – 2u2gxco2s2~~ ~~􀁔 = x tan 􀁔 (1 – xR )  \nProjection on an inclined plane  \ny  \nx  \n| Range | Up the Incline | Down the Incline |\n| --- | --- | --- |\n|  | 2u2 sin 􀁄 cos(􀁄 􀀎 􀁅) gcos2 􀁅 | 2u2 sin 􀁄 cos(􀁄 􀀐 􀁅) gcos2 􀁅 |\n| Time of flight | 2u sin 􀁄 gcos 􀁅 | 2usin 􀁄 gcos 􀁅 |\n| Angle of projection withincline plane for maximum range |  􀁓   􀁅 \u003Cbr>􀀐\u003Cbr>4 2 |  􀁓  􀁅 \u003Cbr>􀀎\u003Cbr>4 2 |\n| Maximum Range | u2\u003Cbr>g(1􀀎 sin􀁅) | u2\u003Cbr>g(1􀀐 sin 􀁅) |\n","cbCail82vcz3w5I2","https://ap.wps.com/l/cbCail82vcz3w5I2","pdf",2969422,86,"English","# UNIT AND DIMENSIONS\n# RECTILINEAR MOTION\n# PROJECTILE MOTION & VECTORS\n# RELATIVE MOTION\n# CROSSING RIVER\n# RAIN PROBLEMS\n# NEWTON'S LAWS OF MOTION","[{\"question\":\"What does the booklet cover in the Unit and Dimensions section?\",\"answer\":\"It explains units for measuring physical quantities, listing fundamental and supplementary SI units and the metric prefixes with their symbols and values.\"},{\"question\":\"Which motion formulas are summarized for rectilinear motion?\",\"answer\":\"It provides expressions for average velocity and speed, instantaneous velocity, average and instantaneous acceleration, and the equations of motion for constant acceleration, including free-fall cases.\"},{\"question\":\"How are projectile motion and vector results presented?\",\"answer\":\"It lists time of flight, horizontal range, maximum height, and trajectory/path equation, and includes projection on an inclined plane with range-related relationships.\"}]","PHYSICS FORMULA BOOKLET-GYAAN SUTRA - UNIT AND DIMENSIONS | PDF",1789905479,217]