1.

Only `1//8th` of the original amount of a radioactive element remains after 96 min. The value of `t_(1//2)` of this element isA. 12.0 minB. 32.0 minC. 24.0 minD. 48.0 min

Answer» Correct Answer - b
Given that, `N_(0) = 1, N = (1)/(8), t = 96` min
We know that, `N = N_(0)((1)/(2))^((t)/(t(1//2))) or (1)/(8) = ((1)/(2))^((96)/(t_(1//2)))`
or `((1)/(2))^(3) = ((1)/(2))^((96)/(t_(1//2))) or (96)/(t_(1//2)) = (96)/(3) = 32` min


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