Question

After two hours
15 th/16
of the initial amount of a
certain radioactive substance is decayed. The
half life of the substance is

with full explanation!!!​

Answer 1

Answer:

Half an hour or 30 mins

Explanation:

We know that

$N(t)=Nₒ( \frac{1}{2} )^{ \frac{t}{t \: half} }$

Where

N(t) is the Quantity remaining at time t

Nₒ is the initial quantity

T half is the half time

In the given question

t= 2 hrs

Nₒ = 1

As 15ᵀʰ/16 of initial amount has decayed

$N(t)=1 - \frac{15}{16} = \frac{1}{16}$

Hence we have

$\frac{1}{16} = 1 \times {( \frac{1}{2}) }^{ \frac{2}{t \: half} }$

$\frac{1}{16} = { (\frac{1}{2} )}^{4} = {( \frac{1}{2}) }^{ \frac{2}{t \: half} }$

It implies that

$4 = \frac{2}{t \: half}$

Hence

$t \: half = \frac{1}{2}$

Answer 2

Answer:

$..... fõllõw mê ..❤️$