The mean lives of a radioactive substance are 1620 years and 405 years of `alpha`-emission and `beta`-emission respectively. Find out the time during which three-fourth of a sample will decay if it is decaying both by `alpha`-emission and `beta`-emission simultaneously.

The mean lives of a radioactive substance are 1620 years and 405 years

1.	The mean lives of a radioactive substance are 1620 years and 405 years of `alpha`-emission and `beta`-emission respectively. Find out the time during which three-fourth of a sample will decay if it is decaying both by `alpha`-emission and `beta`-emission simultaneously.
Answer» For succiessive `alpha, beta`-emission `K_("avg") = K_(alpha) + K_(beta) = (1)/(1620) + (1)/(405) = (5)/(1620) "years"^(-1)` Given at `t = t`, `N = 1//4 N_(0)` (since `3//4` part decays) `t = (2.303)/(K_("avg")) "log" (N_(0))/(N)` `= (2.303 xx 1620)/(5) "log" 4 = 449.24` years

Discussion

No Comment Found

Related InterviewSolutions

During the transformation of `._(c )X^(a)` to `._(d)Y^(b)` the number of `beta`-particles emitted are a. `d + ((a - b)/(2)) - c` b. `(a - b)/(c )` c. `d + ((a - b)/(2)) + c` d. `2c - d + a = b`A. a. `d + ((a - b)/(2)) - c`B. b. `(a - b)/(c )`C. c. `d + ((a - b)/(2)) + c`D. d. `2c - d + a = b`
During the transformation of `.^(b)X_(a) rarr .^(d)Y_(c)` the number of `beta`-particles emitted isA. `((b -d))/(4)`B. `(c -a) + (1)/(2) (b -d)`C. `(a -c) - (1)/(2) ( b-d)`D. `(b -d) + 2 (c -a)`
How many `alpha`-particles are emitted in the nuclear transformation: `._(84)Po^(215) rarr ._(82)Pb^(211) + ? ._(2)He^(4)`
Which one of the following nuclear transformation is `(np)` type? a. `._(3)Li^(7) + ._(1)H^(1) rarr ._(4)Be^(7) + ._(0)n^(1)` b. `._(33)As^(75) + ._(5)He^(4) rarr ._(35)Bi^(78) + ._(0)n^(1)` c. `._(83)Bi^(209) + ._(1)H^(2) rarr ._(84)Po^(210) + ._(0)n^(1)` d. `._(21)Sc^(45) + ._(0)n^(1) rarr ._(20)Ca^(45) + ._(1)H^(1)`A. a. `._(3)Li^(7) + ._(1)H^(1) rarr ._(4)Be^(7) + ._(0)n^(1)`B. b. `._(33)As^(75) + ._(5)He^(4) rarr ._(35)Bi^(78) + ._(0)n^(1)`C. c. `._(83)Bi^(209) + ._(1)H^(2) rarr ._(84)Po^(210) + ._(0)n^(1)`D. d. `._(21)Sc^(45) + ._(0)n^(1) rarr ._(20)Ca^(45) + ._(1)H^(1)`
After np orbitals are filled, the next orbital filled will be :-(a). `(n+1)s`(b). `(n+2)p`(c). `(n+1)d`(d). `(n+2)s`A. `(n+1) s`B. `(n+2)p`C. `(n+1) d`D. `(n+2) s`
The total number of `alpha`- and `beta`-particles given out during nuclear given nuclear transformation is:A. `2`B. `4`C. `6`D. `8`
Which one of the following nuclear transformation is `(np)` type? a. `._(3)Li^(7) + ._(1)H^(1) rarr ._(4)Be^(7) + ._(0)n^(1)` b. `._(33)As^(75) + ._(5)He^(4) rarr ._(35)Bi^(78) + ._(0)n^(1)` c. `._(83)Bi^(209) + ._(1)H^(2) rarr ._(84)Po^(210) + ._(0)n^(1)` d. `._(21)Sc^(45) + ._(0)n^(1) rarr ._(20)Ca^(45) + ._(1)H^(1)`A. `._(3)Li^(7) + ._(1)H^(1) rarr ._(4)Be^(7) + ._(0)n^(1)`B. `._(33)As^(75) + ._(2)He^(2) rarr ._(35)Br^(78) + ._(0)n^(1)`C. `._(83)Bi^(209) + ._(1)H^(2) rarr ._(84)Po^(210) + ._(0)n^(1)`D. `._(21)Sc^(45) + ._(0)n^(1) rarr ._(20)Ca^(45) + ._(1)H^(1)`
The reaction `._(1)D^(2) + ._(1)T^(3) rarr ._(1)He^(2) + ._(0)n^(1)` is an example ofA. Nuclear fissionB. Nuclear fusionC. Artifical radioactivityD. Radioactive disintegration
The equipment used to carry out nuclear reaction in a controlled manner is calledA. Breeder reactorB. Nuclear reactorC. Thermonuclear fissionD. Cyclotron
The number of `alpha and beta-`particles emitted in the nuclear reaction `._(90)Th^(228) rarr ._(83)Bi^(212)` are respectivelyA. 4 , 1B. 3 , 7C. 8, 1D. 4, 7

The mean lives of a radioactive substance are 1620 years and 405 years of `alpha`-emission and `beta`-emission respectively. Find out the time during which three-fourth of a sample will decay if it is decaying both by `alpha`-emission and `beta`-emission simultaneously.

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment