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Question-13627

Question Number 13627 by tawa tawa last updated on 21/May/17 Answered by ajfour last updated on 21/May/17 $$\frac{\mathrm{1}}{\lambda}={R}\left(\frac{\mathrm{1}}{{n}_{\mathrm{2}} ^{\mathrm{2}} }−\frac{\mathrm{1}}{{n}_{\mathrm{1}} ^{\mathrm{2}} }\right) \\ $$$$\frac{\mathrm{1}}{\lambda}={R}\left(\frac{\mathrm{1}}{\mathrm{4}}−\frac{\mathrm{1}}{\mathrm{9}}\right) \\…

Question-13609

Question Number 13609 by tawa tawa last updated on 21/May/17 Answered by ajfour last updated on 21/May/17 $$\mathrm{W}=\int_{\:\mathrm{V}_{\mathrm{1}} } ^{\:\:\mathrm{V}_{\mathrm{2}} } \mathrm{PdV} \\ $$$$\mathrm{when}\:\mathrm{pressure}\:\mathrm{be}\:\mathrm{constant}, \\…

Show-that-E-x-y-z-R-3-x-2y-z-0-is-a-subspace-vector-of-which-we-will-determine-one-base-please-help-sirs-

Question Number 79111 by mathocean1 last updated on 22/Jan/20 $$\mathrm{Show}\:\mathrm{that} \\ $$$$\mathrm{E}=\left\{\left({x},\mathrm{y},{z}\right)\:\in\:\mathbb{R}^{\mathrm{3}} \:\:/\:\:{x}−\mathrm{2}{y}+{z}=\mathrm{0}\right\} \\ $$$$\mathrm{is}\:\mathrm{a}\:\mathrm{subspace}\:\mathrm{vector}\:\mathrm{of}\:\mathrm{which}\:\mathrm{we} \\ $$$$\mathrm{will}\:\mathrm{determine}\:\mathrm{one}\:\mathrm{base}. \\ $$$$\mathrm{please}\:\mathrm{help}\:\mathrm{sirs}… \\ $$ Commented by mathmax by…

A-motor-boat-going-downstream-overcomes-a-float-at-a-point-A-60-minutes-later-it-turns-and-after-some-time-passes-the-float-at-a-distance-of-12-km-from-the-point-A-Find-the-velocity-of-the-stream-a

Question Number 13570 by Tinkutara last updated on 21/May/17 $$\mathrm{A}\:\mathrm{motor}\:\mathrm{boat}\:\mathrm{going}\:\mathrm{downstream} \\ $$$$\mathrm{overcomes}\:\mathrm{a}\:\mathrm{float}\:\mathrm{at}\:\mathrm{a}\:\mathrm{point}\:{A}.\:\mathrm{60}\:\mathrm{minutes} \\ $$$$\mathrm{later}\:\mathrm{it}\:\mathrm{turns}\:\mathrm{and}\:\mathrm{after}\:\mathrm{some}\:\mathrm{time}\:\mathrm{passes} \\ $$$$\mathrm{the}\:\mathrm{float}\:\mathrm{at}\:\mathrm{a}\:\mathrm{distance}\:\mathrm{of}\:\mathrm{12}\:\mathrm{km}\:\mathrm{from} \\ $$$$\mathrm{the}\:\mathrm{point}\:{A}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{velocity}\:\mathrm{of}\:\mathrm{the}\:\mathrm{stream} \\ $$$$\left(\mathrm{assuming}\:\mathrm{constant}\:\mathrm{velocity}\:\mathrm{for}\:\mathrm{the}\right. \\ $$$$\left.\mathrm{boat}\:\mathrm{in}\:\mathrm{still}\:\mathrm{water}\right) \\ $$ Answered…

Question-13563

Question Number 13563 by Tinkutara last updated on 21/May/17 Commented by Tinkutara last updated on 21/May/17 $$\mathrm{36}.\:\mathrm{The}\:\mathrm{velocity}\:\mathrm{of}\:\mathrm{the}\:\mathrm{particle}\:\mathrm{at}\:\mathrm{a} \\ $$$$\mathrm{distance}\:{x}\:\mathrm{from}\:\mathrm{origin}\:\mathrm{is} \\ $$$$\left(\mathrm{1}\right)\:{u}\:+\:{kx} \\ $$$$\left(\mathrm{2}\right)\:{u}\:−\:{kx} \\ $$$$\left(\mathrm{3}\right)\:{kx}…

A-body-of-mass-2-kg-has-an-initial-velocity-of-3-ms-1-along-OE-and-it-is-subjected-to-a-force-of-4-newton-in-OF-direction-perpendicular-to-OE-The-distance-of-the-body-from-O-after-4-second-will-b

Question Number 13510 by Tinkutara last updated on 20/May/17 $$\mathrm{A}\:\mathrm{body}\:\mathrm{of}\:\mathrm{mass}\:\mathrm{2}\:\mathrm{kg}\:\mathrm{has}\:\mathrm{an}\:\mathrm{initial}\:\mathrm{velocity} \\ $$$$\mathrm{of}\:\mathrm{3}\:\mathrm{ms}^{−\mathrm{1}} \:\mathrm{along}\:{OE}\:\mathrm{and}\:\mathrm{it}\:\mathrm{is}\:\mathrm{subjected} \\ $$$$\mathrm{to}\:\mathrm{a}\:\mathrm{force}\:\mathrm{of}\:\mathrm{4}\:\mathrm{newton}\:\mathrm{in}\:{OF}\:\mathrm{direction} \\ $$$$\mathrm{perpendicular}\:\mathrm{to}\:{OE}.\:\mathrm{The}\:\mathrm{distance}\:\mathrm{of} \\ $$$$\mathrm{the}\:\mathrm{body}\:\mathrm{from}\:{O}\:\mathrm{after}\:\mathrm{4}\:\mathrm{second}\:\mathrm{will}\:\mathrm{be} \\ $$$$\left(\mathrm{a}\right)\:\mathrm{12}\:\mathrm{m} \\ $$$$\left(\mathrm{b}\right)\:\mathrm{28}\:\mathrm{m} \\ $$$$\left(\mathrm{c}\right)\:\mathrm{20}\:\mathrm{m}…