Match the following :

The correct answer is

Options

A. `A to IV , B to V , C to III , D to II`
B. `A to III, B to IV , C to V , D to II`
C. `A to IV , B to II , C to III , D to I`
D. `A to V , B to IV , C to II, D to III`

Answer

A

Explanation

Bond order ` = ("Number of bonding electrons - Number of antibonding electrons")/(2)`
`(A to IV)`
` N_(2)^(+) = sigma1s^2 lt sigma^(**) lt sigma 2s^2 lt sigma^(**) 2s^2 , pi 2p_x^2 = pi 2p_y^2 lt sigma 2p_z^1`
Bond order of `N_(2)^(+) = (9-4)/(2) = 25`
`(B to V) `
` CO = sigma 1s^2 lt sigma^(**) 1s^2 lt sigma 2s^2 lt sigma^(**)2s^2 lt sigma 2p_z^2 lt pi 2p_x^2 = pi 2p_y^2`
Bond order of CO `= (10 - 4)/(2) = 3`
`(C to III)`
`O_2 = sigma 1s^2 lt sigma^(**) 1s^2 lt sigma2s^2 lt sigma^(**)2s^2 lt sigma2p_z^2 lt pi 2p_x^2 = pi 2p_y^2 lt pi^(**) 2p_x^1 = pi^(**) 2p_y^1`
Bond order of `O_2 = (10 - 6)/(2) = 2`
`(D to II)`
` O_(2)^(-) = sigma1s^2 lt sigma^(**) 1s^2 lt sigma 2s^2 lt sigma^(**)2s^2 lt sigmap_z^2 lt pi2p_x^2 - pi 2p_y^2 lt pi 2p_x^2 = pi 2p_y^1`
Bond order of `O_(2)^(-) = (10 - 7)/(2) = 1.5`