For 0 - p - 1 and for any positive a - b - let I p - a - b p - J p - a p - b p- thenA- Ip-JpB- Ip - JpC- I p J p in - p -2- -D- I p I p in -0- p -2-

The value of $I P_{1}$ , $I P_{2}$ , $I P_{3}$ and $I P_{4}$ of an atom are respectively 7.5 eV, 25.6 eV, 48.6 eV and 170.6 eV. The electronic configuration of the atom will be

Q. For

N i

and

P t

different I.P in

k J

{m o l}^{- 1}

are given below:

	${(I P)}_{1} + {(I P)}_{2}$	${(I P)}_{3} + {(I P)}_{4}$
$N i$	$2.49$	$8.80$
$P t$	$2.60$	$6.70$

Choose the correct statement.

Q. The

{I P}_{1}, {I P}_{2}, {I P}_{3}, {I P}_{4}

and

{I P}_{5}

of an element are

7.1, 14.3, 34.5, 46.8, 162.2 e V

respectively.

The element is likely to be:

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For 0≤p≤1 and for any positive a,b; let I(p)=(a+b)p,J(p)=ap+bp, then

The correct option is B I(p)≤J(p)(a+b)q≥aq+bq for a,b∈R+,q≥1 ⇒(a+b)1/q≤a1/q+b1/q ⇒(a+b)p≤ap+bp (0≤p≤1) ⇒I(p)≤J(p)

For $0 \leq p \leq 1$ and for any positive $a, b;$ let $I (p) = (a + b)^{p}, J (p) = a^{p} + b^{p},$ then

The correct option is B $I (p) \leq J (p)$
$(a + b)^{q} \geq a^{q} + b^{q}$ for $a, b \in R^{+}, q \geq 1$
$\Rightarrow (a + b)^{1 / q} \leq a^{1 / q} + b^{1 / q}$
$\Rightarrow (a + b)^{p} \leq a^{p} + b^{p} (0 \leq p \leq 1)$
$\Rightarrow I (p) \leq J (p)$