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  DON TEST 1......ITS FOR ALL IIT ASPIRANTS.....CHAK DE.....   8 Nickels awarded!
Tagged with:       [Post New]posted on 4 Jul 2007 18:00:00 IST    
 
PHYSICS TEST PAPER 
 
1)       THE Martians  use FORCE(F) , ACCELERATION(A) , AND TIME (T)  as their fundamental physical quantities.  The dimension of length is :
1) FT2         2)    F-1T2      3)  F-1T-1A2      4) AT2
 
       2)  THE dimension of CV  is same  as
             1)  L2I    2) L2I2        3) LI2        4) 1/ LI
       
        3)  WHICH OF THE FOLLOWING REPRESENTS THE  dimensions of kinetic energy
            1) MLT2    2)  ML-2T-2     3) ML-2T2      4)ML2T-2
 
        4)  DIMENSION OF GRAVITATIONAL CONSTANT IS 
             1) ML2T-2     2)  ML3T-1    3)M-1L3T-2       4)  M-1L2T-2  
 
        5)  WHAT IS THE DIMENSIONS OF FORCE *  DENSITY?.
              1)  ML4T-2      2)  M2L-2T-1      3)M2L-2T-2    4)  ML-2T-2
 
           FILL IN THE BLANKS
      
6)       DIMENSION OF PLANK CONSTANT IS SAME AS __________.
 
7)       DIMENSION OF  CAPACITANCE IS__________.
 
8)       DIMENSIONS OF RESISTANCE IS ______________.
 
 
 
                             CHEMISTRY TEST PAPER??
 
1)  600 ml of gaseous mixture of ideal oxygen and ozone was weighed 1 gm at STP.            Calculate the volume of Oxygen in mixture.
  1)  600 ml      2)400 ml    3)  200ml    4) 500ml
 
2) Arrange the following species in order of no. of atoms ?
       a)  10gm of  oxygen molecule
       b)  10gm of ozone molecule
      c)    10 gm of oxygen atom
   1) a>b>c    2) c>b>a   3)  a=b=c  4)  b>c>a
 
3)      In CI gas , ratio of CI35 and Cl37 is
 
        1)1:3  2)3:1  3)1:1   4)4:1
 
4)  4.4g of an oxide of nitrogen gives 2.24L of nitrogen and 60g of another oxide of nitrogen gives22.4L of nitrogen at STP , the data illustrates
1)law of multiple proportions
2)law of reciprocal proportions
3)law of const. vol.
4)none of these
 
5) 
The mass of oxygen that wud require to produce enuf CO which completely reduces 1.6kg Fe2O3 is
1)240g    2)480g     3)720g      4)960g
 
 
6) 1gm equivalent of a substance  is equal to 
1) 0.25 mole of oxygen    2)  0.50mole of oxygen    3)  1mole of oxygen 4)  8 moles of  oxygen
 
 
7) A gas behaves closely as an ideal gas at
   1) low pressure and low temperature   2) low pressure and high temp       3) high pressure and low temp     4)  high pressure and high temperature.
 
8)  The chloride of metal M contains 65.5% og chlorine 100ml of the vapour of the chloride of the metal weighs 0.72g at  STP , mol. formlula of metal chloride is
 
1) MCI      2)MCI2  3)MCI3      4)MCI4
 
FILL IN THE BLANKS :
 
9) 20 gm of oxygen means _______  no. of moles.
 
10) 20gm of Oxygen atom means ________ no. of moles.
 
11) density of chlorine relative to air is ________.
 
12)Molality is the no. of moles dissolved in _______gm of solvent .
 
 
 
 
                                  MATHS TEST PAPER
 
1)  IF the quadratic equations ax2  +2cx +b =0  and ax2 +2bx +c=0 have a common root , then a+4b + 4c =
1) -2        2)  -1     3)   0    4)   1
 
       2) if A , G , H represents arithmetic mean , geometric mean , harmonic mean between  two unequal positive no.s. then equation Ax2 - |G| x ? H= 0     has
              1) both roots r fractions  2) at least one root which is negative fraction  
              3) exactly one positive root     4)  at least one root integer.
 
 
3)   if 0<a<b<c, and the roots c , d of the equation ax2 +bx +c =0 are non real complex no.s, then
           1)  |c|  =  |d|       2)   |c|>1       3)  |d|  <1     4) none
 
 
4) If x2 - 11x + a and x2 - 14x + 2a have a common factor , then a = to ...
1)0,8     2)5,24        3)0,24      4)1,2
 
 
5)  )The no. of values of k for wich the EQUATION x2 - 3x + k = 0 has 2 distinct roots lying in the interval (0,1)are...
1)3        2)2        3)infinite           4)no value of k
 
6)  for any real  x , the erxpression 2(k-x)[x + sqrt(x2 + k2)]  can not exceed??
      1 ) k2        2)  2k2      3) 3k2      4) 4k2
 
7) the quadratic equation whose root are the AM and HM   between the roots of the equation                        ax2 +bx +c = 0  is
     1) abx2+(b2+ac)x +bc=0        2) 2abx2 + (b2+ 4ac)x+  2bc =0 
      3)  2abx2 + (b2 +ac)x +bc =0      4)  none.
 
8)   If the ratio of the roots of the =qn x2 + px + q = 0 be = to the ratio of roots of x2 + tx + m = 0 , then
1)p2 m = q2 t      2)p m2 = q2 t     3)p2 t = q2 m     4)p2 m = t2 q
 
9)  Two students while solving a quadratic equation in x with leading coeff. ' I ' , one copied the const. term incorrectly and got the roots 3 , 2 . the other copied the correct term (-6) , the correct roots are....
1) -2 , 3        2)-3 , 2       3)-6  , -1    4)-1 , 6
 
 
10)   If 3 + i is a root of x2 + ax + b = 0 , where a,b belongs to R , then  a equals to ....
 
      1)3           2)-3         3)6        4  )  -6
 
 
 
FILL IN THE BLANKS :  
 
11)IF THE ROOTS OF ax2 +bx +c =0 (a,b,c means real) are imaginary and   a+c< b, then
     4a+ c < ____________.
 
12)  if (x2 -3x+2) is a factor of  ( x4 ?px2 +q)  ,  then p  and q r respectively _____________.
 
13)  if the roots of the equation  x2 ? 2ax  + a2 +a-3 =0  are real less than 3 , then a<_________.
 
14)  the difference between the corresponding roots of the equations x2 +ax +b =0  and   x2+bx +a=0  are same , then a+b =  ______________.
 
15) the no. of quadratic equations which r unchanged by squaring their roots is_____________.
 
 
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