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|{:(,"List-I(Species)",,"List-II(Spin on...

`|{:(,"List-I(Species)",,"List-II(Spin only Magnetic Moment)"),((P),Mn^(+),(1),sqrt(24)B.M.),((Q),Cu^(+1),(2),sqrt(8)B.M.),((R ),V^(+3),(3),sqrt(48)B.M.),((S),Co^(3+),(4),0 B.M.):}|`
Code :

A

`(P_(1)+P_(2)+P_(3))` is equal to `sqrt(3)`

B

`(P_(1)+P_(2)+P_(3))` is equal to `4sqrt(3)`

C

Area of `triangle=sqrt(3)` Sq unit

D

Area of `triangle ABC =3` Sq unit

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The correct Answer is:
A, C
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Four charges Q_(1), Q_(2), Q_(3) and Q_(4) oof 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):}

Given A=[{:(sqrt(3),1,-1),(2,3,0):}]andB=[{:(2,sqrt(5),1),(-2,3,(1)/(2)):}] find A+B.

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If z=pi/4(1+i)^4((1-sqrt(pi)i)/(sqrt(pi)+i)+(sqrt(pi)-i)/(1+sqrt(pi)i)),then"((|z|)/(a m p(z))) equal

{:(,"Column I",,"Column II"),((A), 1 "fermi",(p),10^(-13) m),((B),1 "X-ray unit",(q),10^(-15) m),((C),1 "angstrom",(r),10^(-10) m),((D),1 "Astronomical unit",(s),9.46xx10^(15) m),((E),1 "Light year",(t),3.26 "Light year"),((F),1 "Parse",(u),3.08xx10^(16) m),(,,(v),1.49xx10^(11)m):}

Solve the equation , sqrt(3) sin 2A = sin 2B and sqrt(3)sin^(2)A + sin^(2)B=(1)/(2)(sqrt(3)-1) .

Mathc list I with II and select the correct answer : {:((A)"spring constant",(1)M^(1)L^(2)T^(-2)),((B)"pascal",(2)M^(0)L^(0)T^(-1)),((C)"hertz",(3)M^(1)L^(0)T^(-2)),((D)"joule",(4)M^(1)L^(-1)T^(-2)):}

A and B are two events such that P(A) = (1)/(4), P(A | B)= (1)/(2) , P(B | A)= (2)/(3) , then P(B)= ………….

A=[{:(l_(1),m_(1),n_(1)),(l_(2),m_(2),n_(2)),(l_(3),m_(3),n_(3)):}] and B=[{:(p_(1),q_(1),r_(1)),(p_(2),q_(2),r_(2)),(p_(3),q_(3),r_(3)):}] Where p_(i), q_(i),r_(i) are the co-factors of the elements l_(i), m_(i), n_(i) for i=1,2,3 . If (l_(1),m_(1),n_(1)),(l_(2),m_(2),n_(2)) and (l_(3),m_(3),n_(3)) are the direction cosines of three mutually perpendicular lines then (p_(1),q_(1), r_(1)),(p_(2),q_(2),r_(2)) and (p_(3),q_(),r_(3)) are

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