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4^(3) + 5^(3) + 6^(3) + … + 10^(3)...

`4^(3) + 5^(3) + 6^(3) + … + 10^(3)`

A

1905

B

2358

C

2447

D

2989

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The correct Answer is:
D
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In an atom the number of electrons in N - Shell is equal to the number of electrons in K, L and M shells. Answer the question. Which is the outermost shell ? Explanation : K = 1 s^(2) (2) electrons L = 2s^(2) 2p^(6) (8) electrons M = 3s^(2) 3p^(6) 3d^(10) (18) electrons Total (28) electrons N = 4s^(2) 4p^(6) 4d^(10) 4f^(10) (28) electrons To fill 4f^(10) , 1s^(2) , 2s^(2) 2p^(2) 2p^(6) 3s^(2) 3p^(6) 4s^(2) 3d^(10) 4p^(6) 5s^(2) 4d^(10) 5p^(6) 6s^(2) should be filled Hence , the electronic configuration is 1s^(2) 2s^(2) 2p^(6) 3s^(2) 3p^(6) 4s^(2) 3^(10) 4p^(6) 5s^(2) 4d^(10) 5p^(6) 6s^(2) 4f^(10) .

In an atom the number of electrons in N - Shell is equal to the number of electrons in K, L and M shells. Answer the question. How many electrons are there in its outermost shell ? Explanation : K = 1 s^(2) (2) electrons L = 2s^(2) 2p^(6) (8) electrons M = 3s^(2) 3p^(6) 3d^(10) (18) electrons Total (28) electrons N = 4s^(2) 4p^(6) 4d^(10) 4f^(10) (28) electrons To fill 4f^(10) , 1s^(2) , 2s^(2) 2p^(2) 2p^(6) 3s^(2) 3p^(6) 4s^(2) 3d^(10) 4p^(6) 5s^(2) 4d^(10) 5p^(6) 6s^(2) should be filled Hence , the electronic configuration is 1s^(2) 2s^(2) 2p^(6) 3s^(2) 3p^(6) 4s^(2) 3^(10) 4p^(6) 5s^(2) 4d^(10) 5p^(6) 6s^(2) 4f^(10) .

In an atom the number of electrons in N - Shell is equal to the number of electrons in K, L and M shells. Answer the question. Write the electronic configuration of the elements. Explanation : K = 1 s^(2) (2) electrons L = 2s^(2) 2p^(6) (8) electrons M = 3s^(2) 3p^(6) 3d^(10) (18) electrons Total (28) electrons N = 4s^(2) 4p^(6) 4d^(10) 4f^(10) (28) electrons To fill 4f^(10) , 1s^(2) , 2s^(2) 2p^(2) 2p^(6) 3s^(2) 3p^(6) 4s^(2) 3d^(10) 4p^(6) 5s^(2) 4d^(10) 5p^(6) 6s^(2) should be filled Hence , the electronic configuration is 1s^(2) 2s^(2) 2p^(6) 3s^(2) 3p^(6) 4s^(2) 3^(10) 4p^(6) 5s^(2) 4d^(10) 5p^(6) 6s^(2) 4f^(10) .

In an atom the number of electrons in N - Shell is equal to the number of electrons in K, L and M shells. Answer the question. What is the atomic number ? Explanation : K = 1 s^(2) (2) electrons L = 2s^(2) 2p^(6) (8) electrons M = 3s^(2) 3p^(6) 3d^(10) (18) electrons Total (28) electrons N = 4s^(2) 4p^(6) 4d^(10) 4f^(10) (28) electrons To fill 4f^(10) , 1s^(2) , 2s^(2) 2p^(2) 2p^(6) 3s^(2) 3p^(6) 4s^(2) 3d^(10) 4p^(6) 5s^(2) 4d^(10) 5p^(6) 6s^(2) should be filled Hence , the electronic configuration is 1s^(2) 2s^(2) 2p^(6) 3s^(2) 3p^(6) 4s^(2) 3^(10) 4p^(6) 5s^(2) 4d^(10) 5p^(6) 6s^(2) 4f^(10) .

Simplify the following using laws of exponent ((3)/(5)) ^(5) xx ((3)/(5)) ^(6) xx ((3)/(5)) ^(4)

(3/4)^(-3) xx (3/4)^3 xx (3/4)^6 = ________

1+ (1)/(10^2) + (1.3)/(1.2). (1)/(10^4) + (1.3.5)/(1.2.3) . (1)/(10^6) + …… oo =

AAKASH SERIES-MATHEMATICAL INDUCTION-PRACTICE SHEET (EXERCISE-I) LEVEL-I (Principle of Mathematical Induction) (Straight Objective Type Questions)
  1. log ( x )^(n) = n .log x is true for n.

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  2. If 2^(3) + 4^(3) + 6^(3) + … + (2n)^(3) = kn^(2) ( n+1)^(2) then k=

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  3. 4^(3) + 5^(3) + 6^(3) + … + 10^(3)

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  4. Sum of the series S=t^(2) - 2^(2) + 3^(2) - 4^(2) + …... - 2002^(2) + ...

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  5. (sumn^(3) ) ( sumn) = (sumn^2) ^2 if

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  6. n^( th) term of the series 4+14+ 30 + 52+ …..

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  7. If 1+ 5+ 12+ 22 + 35+ ….. + to n terms = ( n^(2) (n+1) )/(2) then n^...

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  8. 1+ 3+ 7 + 15…n terms =

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  9. 1^(2) + 3^(2) + 5^(2) + …. upto n terms =

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  10. 2+ 3.2 + 4.2^(2) + …... upto n terms =

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  11. (1^(2) )/( 1) + (1^(2) + 2^(2) )/(1+2) + (1^(2) + 2^(2) + 3^(2) )/( 1...

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  12. Sum of first 'n' terms of the series = (3)/(2) + (5)/(4) + (9)/(8) + (...

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  13. 0.2 + 0.22 + 0.222+ …. upto n terms is equal to

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  14. 2+7+14+…..+ (n^(2) + 2n-1)=

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  15. 1.6 + 2.9+ 3.12+ ….. + n ( 3n+3)=

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  16. 2.4 + 4.7 + 6.10+ …. upto (n-1) terms=

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  17. sum(n=0)^( oo) (-1)^(n) x^( n+1)=

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  18. sum(k=1)^(2n+1) (-1)^(k-1) k^2 =

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  19. cos theta + cos 2 theta + cos 3 theta + …. + cos { (n-1) theta}+ cos n...

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  20. If P (n) = 1+2+3+ …. + n is a perfect square N^(2) and N is less than...

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