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Calculate-the-energy-emitted-when-electrons-of-1-g-atom-of-hydrogen-undergo-transition-giving-the-spectral-line-of-lowest-energy-in-the-visible-region-of-its-atomic-spectrum-R-H-1-1-10-7-m-1-

Question Number 22050 by Tinkutara last updated on 10/Oct/17 $$\mathrm{Calculate}\:\mathrm{the}\:\mathrm{energy}\:\mathrm{emitted}\:\mathrm{when} \\ $$$$\mathrm{electrons}\:\mathrm{of}\:\mathrm{1}\:\mathrm{g}\:\mathrm{atom}\:\mathrm{of}\:\mathrm{hydrogen} \\ $$$$\mathrm{undergo}\:\mathrm{transition}\:\mathrm{giving}\:\mathrm{the}\:\mathrm{spectral} \\ $$$$\mathrm{line}\:\mathrm{of}\:\mathrm{lowest}\:\mathrm{energy}\:\mathrm{in}\:\mathrm{the}\:\mathrm{visible} \\ $$$$\mathrm{region}\:\mathrm{of}\:\mathrm{its}\:\mathrm{atomic}\:\mathrm{spectrum} \\ $$$$\left(\mathrm{R}_{\mathrm{H}} \:=\:\mathrm{1}.\mathrm{1}\:×\:\mathrm{10}^{\mathrm{7}} \:\mathrm{m}^{−\mathrm{1}} ,\:{c}\:=\:\mathrm{3}\:×\:\mathrm{10}^{\mathrm{8}} \:{ms}^{−\mathrm{1}} ,\right.…

The-line-of-action-of-the-resultant-of-two-like-parallel-forces-shifts-by-one-fourth-of-the-distance-between-the-forces-when-the-two-forces-are-interchanged-The-ratio-of-the-two-forces-is-

Question Number 22020 by Tinkutara last updated on 09/Oct/17 $$\mathrm{The}\:\mathrm{line}\:\mathrm{of}\:\mathrm{action}\:\mathrm{of}\:\mathrm{the}\:\mathrm{resultant}\:\mathrm{of} \\ $$$$\mathrm{two}\:\mathrm{like}\:\mathrm{parallel}\:\mathrm{forces}\:\mathrm{shifts}\:\mathrm{by}\:\mathrm{one} \\ $$$$\mathrm{fourth}\:\mathrm{of}\:\mathrm{the}\:\mathrm{distance}\:\mathrm{between}\:\mathrm{the} \\ $$$$\mathrm{forces}\:\mathrm{when}\:\mathrm{the}\:\mathrm{two}\:\mathrm{forces}\:\mathrm{are} \\ $$$$\mathrm{interchanged}.\:\mathrm{The}\:\mathrm{ratio}\:\mathrm{of}\:\mathrm{the}\:\mathrm{two} \\ $$$$\mathrm{forces}\:\mathrm{is} \\ $$ Terms of Service…

1-2e-x-1-gt-2-e-x-2-

Question Number 87550 by jagoll last updated on 05/Apr/20 $$\frac{\mathrm{1}}{\mathrm{2e}^{−\mathrm{x}} −\mathrm{1}}\:>\:\frac{\mathrm{2}}{\mathrm{e}^{−\mathrm{x}} −\mathrm{2}} \\ $$ Commented by john santu last updated on 05/Apr/20 $$\Rightarrow\frac{\mathrm{e}^{\mathrm{x}} }{\mathrm{2}−\mathrm{e}^{\mathrm{x}} }\:>\:\frac{\mathrm{2e}^{\mathrm{x}}…

A-block-is-tied-with-a-thread-of-length-l-and-moved-in-a-horizontal-circle-on-a-rough-table-Coefficient-of-friction-between-block-and-table-is-0-2-Find-tan-where-is-the-angle-between-accele

Question Number 21967 by Tinkutara last updated on 07/Oct/17 $$\mathrm{A}\:\mathrm{block}\:\mathrm{is}\:\mathrm{tied}\:\mathrm{with}\:\mathrm{a}\:\mathrm{thread}\:\mathrm{of}\:\mathrm{length}\:{l} \\ $$$$\mathrm{and}\:\mathrm{moved}\:\mathrm{in}\:\mathrm{a}\:\mathrm{horizontal}\:\mathrm{circle}\:\mathrm{on}\:\mathrm{a} \\ $$$$\mathrm{rough}\:\mathrm{table}.\:\mathrm{Coefficient}\:\mathrm{of}\:\mathrm{friction} \\ $$$$\mathrm{between}\:\mathrm{block}\:\mathrm{and}\:\mathrm{table}\:\mathrm{is}\:\mu\:=\:\mathrm{0}.\mathrm{2}. \\ $$$$\mathrm{Find}\:\mathrm{tan}\:\theta,\:\mathrm{where}\:\theta\:\mathrm{is}\:\mathrm{the}\:\mathrm{angle} \\ $$$$\mathrm{between}\:\mathrm{acceleration}\:\mathrm{and}\:\mathrm{frictional} \\ $$$$\mathrm{force}\:\mathrm{at}\:\mathrm{the}\:\mathrm{instant}\:\mathrm{when}\:\mathrm{speed}\:\mathrm{of} \\ $$$$\mathrm{particle}\:\mathrm{is}\:{v}\:=\:\sqrt{\mathrm{1}.\mathrm{6}{lg}} \\…

A-complex-number-z-is-defined-by-z-1-2-cos-isin-such-that-z-n-1-2-n-cos-n-isin-n-Using-De-Moivre-s-theorem-or-otherwise-show-that-i-r-0-1-4-r-sin-2

Question Number 87497 by Rio Michael last updated on 04/Apr/20 $$\mathrm{A}\:\mathrm{complex}\:\mathrm{number}\:{z}\:\mathrm{is}\:\mathrm{defined}\:\mathrm{by}\:{z}\:=\:\frac{\mathrm{1}}{\mathrm{2}}\left(\mathrm{cos}\:\theta\:+\:{i}\mathrm{sin}\:\theta\right),\mathrm{such}\:\mathrm{that} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:{z}^{{n}} \:=\:\frac{\mathrm{1}}{\mathrm{2}^{{n}} }\:\left(\mathrm{cos}\:{n}\theta\:+\:{i}\mathrm{sin}\:{n}\theta\right) \\ $$$$\mathrm{Using}\:\mathrm{De}\:\mathrm{Moivre}'\mathrm{s}\:\mathrm{theorem},\mathrm{or}\:\mathrm{otherwise},\:\mathrm{show}\:\mathrm{that}\: \\ $$$$\:\left(\mathrm{i}\right)\:\underset{{r}=\mathrm{0}} {\overset{\infty} {\sum}}\:\frac{\mathrm{1}}{\mathrm{4}^{{r}} }\:\mathrm{sin}\:\mathrm{2r}\theta\:\mathrm{is}\:\mathrm{a}\:\mathrm{convergent}\:\mathrm{geometic}\:\mathrm{progression}. \\ $$$$\left(\mathrm{ii}\right)\:\underset{{r}=\mathrm{0}} {\overset{\infty}…

A-heavy-iron-bar-of-weight-W-is-having-its-one-end-on-the-ground-and-the-other-on-the-shoulder-of-a-man-The-rod-makes-an-angle-with-the-horizontal-What-is-the-weight-experienced-by-the-man-

Question Number 21936 by Tinkutara last updated on 07/Oct/17 $$\mathrm{A}\:\mathrm{heavy}\:\mathrm{iron}\:\mathrm{bar}\:\mathrm{of}\:\mathrm{weight}\:{W}\:\mathrm{is}\:\mathrm{having} \\ $$$$\mathrm{its}\:\mathrm{one}\:\mathrm{end}\:\mathrm{on}\:\mathrm{the}\:\mathrm{ground}\:\mathrm{and}\:\mathrm{the}\:\mathrm{other} \\ $$$$\mathrm{on}\:\mathrm{the}\:\mathrm{shoulder}\:\mathrm{of}\:\mathrm{a}\:\mathrm{man}.\:\mathrm{The}\:\mathrm{rod} \\ $$$$\mathrm{makes}\:\mathrm{an}\:\mathrm{angle}\:\theta\:\mathrm{with}\:\mathrm{the}\:\mathrm{horizontal}. \\ $$$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{weight}\:\mathrm{experienced}\:\mathrm{by}\:\mathrm{the} \\ $$$$\mathrm{man}? \\ $$ Answered by ajfour…

A-wire-of-mass-9-8-10-3-kg-per-meter-passes-over-a-frictionless-pulley-fixed-on-the-top-of-an-inclined-frictionless-plane-which-makes-an-angle-of-30-with-the-horizontal-Masses-M-1-and-M-2-ar

Question Number 21870 by Tinkutara last updated on 05/Oct/17 $$\mathrm{A}\:\mathrm{wire}\:\mathrm{of}\:\mathrm{mass}\:\mathrm{9}.\mathrm{8}\:×\:\mathrm{10}^{−\mathrm{3}} \:\mathrm{kg}\:\mathrm{per}\:\mathrm{meter} \\ $$$$\mathrm{passes}\:\mathrm{over}\:\mathrm{a}\:\mathrm{frictionless}\:\mathrm{pulley}\:\mathrm{fixed} \\ $$$$\mathrm{on}\:\mathrm{the}\:\mathrm{top}\:\mathrm{of}\:\mathrm{an}\:\mathrm{inclined}\:\mathrm{frictionless} \\ $$$$\mathrm{plane}\:\mathrm{which}\:\mathrm{makes}\:\mathrm{an}\:\mathrm{angle}\:\mathrm{of}\:\mathrm{30}°\:\mathrm{with} \\ $$$$\mathrm{the}\:\mathrm{horizontal}.\:\mathrm{Masses}\:{M}_{\mathrm{1}} \:\mathrm{and}\:{M}_{\mathrm{2}} \:\mathrm{are} \\ $$$$\mathrm{tied}\:\mathrm{at}\:\mathrm{the}\:\mathrm{two}\:\mathrm{ends}\:\mathrm{of}\:\mathrm{the}\:\mathrm{wire}.\:\mathrm{The} \\ $$$$\mathrm{mass}\:{M}_{\mathrm{1}}…