v31

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Find the square root of the following decimal numbers.(i) 2.56 (ii) 7.29 (iii) 51.84 (iv) 42.25(v) 31.36

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The square root of the complex number z =(u^(2))/(v^(2))+(v^(2))/(u^(2))+(1)/(2i)((u)/(v)+(v)/(u))+(31)/(16) is

A capacitor with capacitance C=1.0 muF and a coil with active resitance R=0.10 Omega and inductance L=1.0 m H are connected in parallel to a source of sinusoidal voltage V=31 V . Find : (a) the frequency omega at which the resonance sets in , (b) the effective value of the fed current in resonance , as well as the corresponding currents flowing through the coil and through the capacitor.

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A particle is moving along a vertical circle of radius R=20 m with a constant speed v=31.4 m//s as shown in the figure. Straight line ABC is horizontal and passes through the centre of the circle. A shell is fired from point A at the instant when particle is at C . The distance AB is 20sqrt(3)m and shell collides with the particle at B , if smallest possible value of the angle of projection is k xx 10^(@) then find the value of k .

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The reduction potential of the two half cell reaction (occurring in an electrochemical cell) are PbSO_(4)(s)+2e^(-)rarrPb(s)+SO_(4)^(2-)(aq)(E^(@)=-0.31V) Ag^(+)(aq)+e^(-)rarrAg(s)(E^(@)=0.80V) The feasible reaction will be

The reduction potential of the two half cell reactions (occuring in an electrochemical cell) are PbSO_(4)+ 2e^(-)rarrPb+SO_(4)^(2-) (E^(@)=-0.31V) Ag^(+)(aq)+e^(-)rarrAg(s)(E^(@)=+0.80V) The fessible reaction will be

MTG IIT JEE FOUNDATION-ARITHMETIC PROGRESSIONS -EXERCISE (MULTIPLE CHOICE QUESTION )(LEVEL 1 )
  1. The first and last term of an A.P. are aa n dl respectively. If S is t...

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  2. if ((b +c -a))/a,((c+a -b))/b, (( a+b -c))/c are in AP, prove that ...

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  3. v31

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  4. The 8^(th) term of an A.P is 17 and its 14^(th) term is 29 . The commo...

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  5. If 2a+3, (a+2), 2a+7 are in A.P., then the value of a is

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  6. Which term of the A.P. 20,17,14 , "….." is first negative term ?

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  7. The first ,second and last terms of an A.P. are repectively 4,7 and 31...

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  8. If the sum of first p terms of an A.P. is equal to the sum of the firs...

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  9. If the m^(t h) term of an A.P. is 1/n a n d\ t h e\ n^(t h)t e r m\ i ...

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  10. The sum of first n odd natural numbers is

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  11. If 3x , x+14, 3x+4 are in A.P. ., then the value of x is

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  12. Find the sum of first 30 terms of an A.P. whose second term is 2 and ...

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  13. The digits of a positive integer, having three digits, are in A.P. and...

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  14. If four numbers in A.P. are such that their sum is 50 and the great...

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  15. If the first, second and last term of an A.P. are a ,\ b and 2a res...

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  16. Which term of the AP: 3, 15, 27, 39, . . . will be 132 more than its 5...

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  17. Sum of n terms of the series sqrt(2)+sqrt(8)+sqrt(18)+sqrt(32)+\ dd...

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  18. In an A.P., if common difference d = 3, then a(5)-a(7) is equal to

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  19. The value of a(30)-a(20) for the A.P. -3,-1,1,"…." is

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  20. The 4^(th) term of an A.P. is 14 and its 12^(th) term is 70 . What are...

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