plzz help me frnds
who will answer correctly they will be marked as brainliest..
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plzz help me frnds
who will answer correctly they will be marked as brainliest..
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As this is a competitive exam question, let us solve it with minimum working.Half life is the amount of time required for a substance to decay to one-half of its original weight. Thus, if 1g of a substance undergoes disintegration equivalent to 1 half life, 0.5 g will disintegrate and 0.5 g will remain.
We see that both the nuclides disintegrate for 4 minutes. The half-life of A is 1 minute, hence it undergoes disintegration equivalent to 4 half lives.
In one half life, of the substance remains. So, after 4 half lives, will remain, i.e. will remain. Hence, we can say 1 - = of the element has disintegrated.
Coming to nuclide B, it has a half-life of 2 minutes. Thus, it undergoes a disintegration equivalent to 2 half lives. In 2 half lives, = of the element will remain. Thus, 1 - = would have disintegrated.
Taking the ratio of the weights of A and B disintegrated, we have
:
Canceling the denominators and numerators, we have
:
Multiplying each side by 4, we have
* 4 : * 4
= 5 : 4
Thus, option (2), i.e., 5:4 is the correct answer.
Half life is the amount of time required for a substance to decay to one-half of its original weight. Thus, if 1g of a substance undergoes disintegration equivalent to 1 half life, 0.5 g will disintegrate and 0.5 g will remain.
We see that both the nuclides disintegrate for 4 minutes. The half-life of A is 1 minute, hence it undergoes disintegration equivalent to 4 half lives.
In one half life, of the substance remains. So, after 4 half lives, will remain, i.e. will remain. Hence, we can say 1 - = of the element has disintegrated.
Coming to nuclide B, it has a half-life of 2 minutes. Thus, it undergoes a disintegration equivalent to 2 half lives. In 2 half lives, = of the element will remain. Thus, 1 - = would have disintegrated.
Taking the ratio of the weights of A and B disintegrated, we have
:
Canceling the denominators and numerators, we have
:
Multiplying each side by 4, we have
* 4 : * 4
= 5 : 4
Thus, option (2), i.e., 5:4 is the correct answer.
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