[" S.E "],[" " "],[" i "],[" ."]

Let f: NvecN be defined by f(n)={(n+1)/2, "if" n "i s o d d"n/2, "if "n "i s e v e n" for a l l n N} Find whether the function f is bijective.

Let f: NvecN be defined by f(n)={(n+1)/2,\ "if"\ n\ "i s\ o d d"n/2,\ \ "if\ "n\ "i s\ e v e n"\ \ for\ a l l\ n\ \ N} Find whether the function f is bijective.

Let f" ": N->N be defined by f(n)={(n+1)/2,""if""""n""""i s""""odd" " n/2,""if""""n""""i s""e v e n for all n in N . State whether the function f is bijective. Justify your answer.

Consider the following ionization steps : M(g) rarr M^(+)(g) +e^(-), DeltaH=100eV M(g) rarr M^(2+)(g)+2e^(-),DeltaH=250eV Select correct statement(s) a) I.E._(1) " of "M(g) is 100eV b) M^(+)(g) rarr M^(2+)(g)+e^(-),DeltaH=150eV c) I.E._(2) of M(g) is 250eV d) I.E._(2) of M(g) is 14=150eV

On the basis of Arrhenius equation, consider the following statement(s). I. E_a is activation energy. II. Unit of E_a is "J mol"^(-1) III. R is gas constant. Which of these is/are true statement(s)?

The expression ((cos A-cos B)/(sin A-sin B))^m+((sin A+sin B)/(cos A-cos B))^m where m in N has the value- a.2cot^m((A-B)/2), if m i s od d b. 0, if m i s od d c. 2cot^("m")((A-B)/2), if m i s e v e n d. 0, if m i s e v e n

In Young's double-slit experiment (Y.D.S.E), light of intesity I_0 , is used at both slits. Calculate the intensity on screen at a point for which the phase difference is 60^@ .

Which of the following transformations can be carried out by using HI as a reducing agent, under acidic conditions ? ["Given: " I_(2)(S)rarr2I^(-)E^(theta)=0.54" V"] (i) Cu^(+)rarrCu(S)" "E^(theta)=0.52" V" (ii) Cr^(3+)rarrCr^(2+)" "E^(theta)=-0.41" V" (iii) Fe^(3+)rarrFe^(2+)" "E^(theta)=-0.77" V" (iv) Fe^(2+)rarrFe(s)" "E^(theta)=-0.44" V"