š¹ãÛà=¢ãìA Îå[>[ÆWt A¹ìt Òì¤ ë™> lüv¹ šy ®òà\ >à ÒÚ úlüv¹ šìy "šøìÚà\>ãÚ [WÒû ëƒ*Úà Wºì¤>à ú š¹ãÛà šå[ÑzAà* lüv¹ šìy¹ [>[ƒ¢Ê Ñ‚à> [®Ä "๠ëAà=à* yû[³A >} [ºJì¤>à ú8.Î}ìÅà‹ì>¹\>¸ lüv¹ šìy ëAàì>àšøA๠Îàƒà Aà[º ¤à t¹º¤¸¤Ò๠A¹à Wºì¤>àúIn case of any ambiguity in translation of any question, English version shall be treated as final.ëAàì>àšøÅ¥[¤ÈìÚ ">å¤à샹 [¤°à[”z =àAìº, Òü}ì¹[\šøÅ¥WèØlà”z ¤ìº ³à>ìt Òì¤ úName of the Candidate (in Capitals) :_____________________________________________________________________Roll Number : in figures ________________________________________________________________________________: in words _________________________________________________________________________________Centre of Examination (in Capitals) : _____________________________________________________________________Candidate’s Signature : _________________________ Invigilator’s Signature : _________________________________Facsimile signature stamp ofCentre Superintendent : _________________________________________________________________________________*0WW*ALHCA(English/Bengali)
ALHCA/WW/Page 2SPACE FOR ROUGH WORKEnglish/Bengali1.The efficiency of an ideal heat engine workingbetween the freezing point and boiling point ofwater, is(1)26·8%(2)6·25%(3)20%(4)12·5%2.At what temperature will the rms speed ofoxygen molecules become just sufficient forescaping from the Earth’s atmosphere ?(Given :Mass of oxygen molecule (m) = 2·7610–26kgBoltzmann’s constant kB= 1·3810–23J K–1)(1)2·508104K(2)5·016104K(3)8·360104K(4)1·254104K3.The fundamental frequency in an open organpipe is equal to the third harmonic of a closedorgan pipe. If the length of the closed organ pipeis 20 cm, the length of the open organ pipe is(1)13·2 cm(2)12·5 cm(3)8 cm(4)16 cm4.The volume (V) ofa monatomic gas varies withits temperature (T), as shown in the graph. Theratio of work done by the gas, to the heatabsorbed by it, when it undergoes a change fromstate A to state B, is(1)52(2)31(3)32(4)721.&A[i "àƒÅ¢ tàšãÚ Òü[gì>¹ lüZW "à‹à¹ * [>´•"à‹àì¹¹ tàš³àyà\[>t Ñ£åi>à}A * Òã³à}ìA¹ γà>Òìº Òü[g>[i¹ Û³tà(1)26·8%(2)6·25%(3)20%(4)12·5%2.ìAà> tàš³àyàÚ "[Gì\> "oå¹ ¤K¢-³à‹¸-³èº(rms)K[tì¤K šõ=ã[¤¹¤àÚå³r캹 ³å[vû ë¤ìK¹ [kA γà>Òì¤?(šøƒt "àìá:"[Gì\> "oå¹ ®¹(m) = 2·7610–26kgì¤àÂi\ô³¸àì>¹ ‹øç¤AkB= 1·3810–23J K–1)(1)2·508104K(2)5·016104K(3)8·360104K(4)1·254104K3.&A[i ³åJ ëJàºà "¹K¸à> >캹 ³èºÎåì¹¹ AÚà}A "š¹&A[i ¤Þê ³åJ "¹K¸à> >캹 tõtãÚ lüšÎåì¹¹AÚà}ìA¹ γà> ú™[ƒ ¤Þê³åJ "¹K¸à> >캹 íƒQ¸¢20 cmÒÚ tì¤ ëJàºà "¹K¸à> >캹 íƒQ¸¢ Òì¤(1)13·2 cm(2)12·5 cm(3)8 cm(4)16 cm4.&A[iš¹³àoåAK¸àìιtàš³àyà¹(T)ÎìU"àÚt>(V)[>´• ¤[o¢t ëºJ[Wy ">åÎàì¹ š[¹¤[v¢tÒÚ ú K¸àÎ[i¹A"¤Ñ‚à ë=ìAB"¤Ñ‚àÚ š[¹¤¹[v¢tÒìº K¸àÎ A[v¢A AõtAà™¢ * KõÒãt tàìš¹ ">åšàt(1)52(2)31(3)32(4)72
ALHCA/WW/Page 3SPACE FOR ROUGH WORKEnglish/Bengali5.A battery consists of a variable number ‘n’ ofidentical cells (having internal resistance ‘r’each) which are connected inseries.Theterminals of the battery are short-circuited andthe current I is measured. Which of the graphsshows the correct relationship between I and n ?6.A carbon resistor of (474·7) kis to be markedwithringsofdifferentcoloursforitsidentification. The colour code sequence will be(1)Violet–Yellow–Orange–Silver(2)Yellow–Green–Violet–Gold(3)Yellow–Violet–Orange–Silver(4)Green–Orange–Violet–Gold7.A set of ‘n’ equal resistors, of value ‘R’ each,areconnected in series to a battery of emf ‘E’ andinternal resistance ‘R’. The current drawn is I.Now, the ‘n’ resistors are
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