Question

During the transformation of `.^(b)X_(a) rarr .^(d)Y_(c)` the number of `beta`-particles emitted is
A. `((b -d))/(4)`
B. `(c -a) + (1)/(2) (b -d)`
C. `(a -c) - (1)/(2) ( b-d)`
D. `(b -d) + 2 (c -a)`

Answer 1

Correct Answer - B
`._(a)^(b) X rarr ._(c)^(d)Y + x_(1)^(4) alpha + y_(-1)^(0)beta`
`b = d + 4x + 0y " " a = c + 2x - y`
or, `b =d + 4x " " or, a = c + 2.(b-d)/(4) -y`
or, `x = (b-d)/(4) " " or, a = c + (b -d)/(2) - y`
or, `y = (c -a) + ((b -d))/(2)`