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Some relations and laws related to fl...

Some relations and laws related to fluids are given in List - I , while the physical reasons behind them are given in List - II.

` {:(,P,Q,R,S),((A),2,3,1,4),((B),2,4,3,1),((C ) ,4,1,2,3),((D),2,3,4,4):}`

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Match List - I and List - II . {:(,P,Q,R,S),((A),4,3,1,2),((B),3,4,2,1),((C ),4,3,2,1),((D ),4,2,3,1):}

Match List - I and List - II . {:(,P,Q,R,S),((A),4,2,1,3),((B),4,1,3,2),((C ),1,4,2,3),((D ),4,1,2,3):}

Match Column - I with Column - II {:(,P,Q,R,S),((A),1,2,4,3),((B),2,1,4,3),((C ),4,1,3,2),((D ),4,3,2,1):}

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A tube is inverted in a mercury vessel as .P is the pressure inside the tube above the mercury level as shown. {:(,P,Q,R,S),((A),4,2,1,3),((B),2,3,3,2),((C ),1,2,3,4),((D),2,4,3,1):}

Examine each of the following relations given below and state in each case, giving reasons whether it is a function or not ? (i) R={(4,1),(5,1),(6,7)} (ii) R={(2,3),(2,5),(3,3),(6,6)} (iii) R={(1,2),(2,3),(3,4),(4,5),(5,6),(6,7)} (iv) R={(1,1),(2,1),(3,1),(4,1),(5,1)}

Match the stoichiometric coefficients listed in Column II with the species listed in Column I that are involved in the balanced equation of the reaction : {:(,"LIST -I",,"LIST -II"),((P),FeC_(2)O_(4),(1),10),((Q),MnO_(4)^(-),(2),24),((R),H^(+),(3),5),((S),CO_(2),(4),3):}

Let A = {1, 2, 3, 4}. Examine which of the following relations is a function from A to A ? (i) f = {(1, 1), (2, 3), (3, 4), (4, 4)} (ii) g = {1, 4), (2, 3), (3, 4)}

Four charges Q_(1), Q_(2), Q_(3) and Q_(4) of same magnitude are fixed along the x axis at x=-2a, -a, +a and +2a , respectively. A positive charge q is placed on the positive y axis at a distance b gt 0 . Four options of the signs of these charges are given in List I. The direction of the forces on the charge q is given in List II. Match List I with List II and select the correct answer using the code given below the lists. {:(,"List-I",,,"List-II"),((P),Q_(1)","Q_(2)","Q_(3)","Q_(4) "all positive",,(1),+x),((Q),Q_(1)","Q_(2) " positive, "Q_(3)","Q_(4)" negative",,(2),-x),((R),Q_(1)","Q_(4)" positive ,"Q_(2)","Q_(3)" negative",,(3),+y),((S),Q_(1)","Q_(3)" positive , "Q_(2)","Q_(4)" negative",,(4),-y):}

A right angled prism of refractive index mu_(1) is placed in a rectangular block of refractive index mu_(2) , which is surrounded by a medium of refractive index mu_(3) ,as shown in the figure . A ray of light 'e' enters the rectangular block at normal incidence . depending upon the relationship between mu_(1) , mu_(2) "and" mu_(3) , it takes one of the four possible paths 'ef' , 'eg' , 'eh' or 'ef' Match the paths in List I with conditions of refractive indices in List II and select the correct answer using the codes given below the lists: {:("List" I , "List" II) , ( P. e rarr f , 1. mu_(1)gt sqrt(2mu_(2))) , ( Q. e rarr g , 2. mu_(2) gt mu_(1) "and" mu_(2) gt mu_(3)), ( R. e rarr f , 3. mu_(1) = mu_(2)), ( S. e rarr f , 4. mu_(2) lt mu_(1) lt sqrt(2mu_(2)) "and" mu_(2) gt mu_(3)):} Codes : {:( P , Q , R , S) , ((A) 2 , 3 , 1 , 4), ((B) 1 , 2 , 4 , 3) , ((C) 4 , 1 , 2 , 3) , ((D) 2, 3 , 4 , 1):}