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A virus inside a human organ can triple itself at every second Then the ratio of the number of viruses at 28 seconds and 30 seconds is
- a)9:1
- b)1:3
- c)1:9
- d)14:15
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A virus inside a human organ can triple itself at every second Then th...
Let the number of viruses at 28seconds be x.
At 29s, it will be 3x
At 30s, it will be 9x.
Hence, the ratio is 1:9
Most Upvoted Answer
A virus inside a human organ can triple itself at every second Then th...
Introduction:
In this question, we are given that a virus inside a human organ can triple itself every second. We need to find the ratio of the number of viruses at 28 seconds and 30 seconds.
Given:
- The virus triples itself every second.
- The time interval is from 28 seconds to 30 seconds.
Approach:
To solve this problem, we can calculate the number of viruses at each second and then find the ratio between the two given time intervals.
Calculation:
Let's calculate the number of viruses at each second:
- At 0 seconds, we have 1 virus.
- At 1 second, the virus triples itself, so we have 1 * 3 = 3 viruses.
- At 2 seconds, the virus triples itself again, so we have 3 * 3 = 9 viruses.
- Similarly, at 3 seconds, we have 9 * 3 = 27 viruses.
- Continuing this pattern, at 4 seconds, we have 27 * 3 = 81 viruses.
We can observe that the number of viruses follows a geometric progression with a common ratio of 3. The number of viruses at each second can be represented as 3^n, where n is the number of seconds.
Now, let's calculate the number of viruses at 28 and 30 seconds:
- At 28 seconds, we have 3^28 viruses.
- At 30 seconds, we have 3^30 viruses.
Ratios:
To find the ratio between the number of viruses at 28 and 30 seconds, we can divide the number of viruses at 30 seconds by the number of viruses at 28 seconds:
Ratio = (3^30) / (3^28)
Simplifying the above expression, we can subtract the exponents:
Ratio = 3^(30-28) = 3^2 = 9
Therefore, the ratio of the number of viruses at 28 seconds to 30 seconds is 9:1, which corresponds to option (c) 1:9.
In this question, we are given that a virus inside a human organ can triple itself every second. We need to find the ratio of the number of viruses at 28 seconds and 30 seconds.
Given:
- The virus triples itself every second.
- The time interval is from 28 seconds to 30 seconds.
Approach:
To solve this problem, we can calculate the number of viruses at each second and then find the ratio between the two given time intervals.
Calculation:
Let's calculate the number of viruses at each second:
- At 0 seconds, we have 1 virus.
- At 1 second, the virus triples itself, so we have 1 * 3 = 3 viruses.
- At 2 seconds, the virus triples itself again, so we have 3 * 3 = 9 viruses.
- Similarly, at 3 seconds, we have 9 * 3 = 27 viruses.
- Continuing this pattern, at 4 seconds, we have 27 * 3 = 81 viruses.
We can observe that the number of viruses follows a geometric progression with a common ratio of 3. The number of viruses at each second can be represented as 3^n, where n is the number of seconds.
Now, let's calculate the number of viruses at 28 and 30 seconds:
- At 28 seconds, we have 3^28 viruses.
- At 30 seconds, we have 3^30 viruses.
Ratios:
To find the ratio between the number of viruses at 28 and 30 seconds, we can divide the number of viruses at 30 seconds by the number of viruses at 28 seconds:
Ratio = (3^30) / (3^28)
Simplifying the above expression, we can subtract the exponents:
Ratio = 3^(30-28) = 3^2 = 9
Therefore, the ratio of the number of viruses at 28 seconds to 30 seconds is 9:1, which corresponds to option (c) 1:9.
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Community Answer
A virus inside a human organ can triple itself at every second Then th...
A virus inside a human organ can triple itself at every second then the ratio of the number of viruses at 28 second and 30 second is
28 and 30 about ratio 28 is ratio 4 and 30 ratio 9
1 ratio 9 ans
28 and 30 about ratio 28 is ratio 4 and 30 ratio 9
1 ratio 9 ans
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A virus inside a human organ can triple itself at every second Then the ratio of the number of viruses at 28 seconds and 30 seconds isa)9:1b)1:3c)1:9d)14:15Correct answer is option 'C'. Can you explain this answer?
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