Q24 / 200 · MHT CET - Medical 2026 (24 April Shift 1) · Biology
Geometric growth can be expressed mathematically by the equation $W_1=W_0e^{rt}$. '$W_1$' stands for ________.
- Ainitial size
- Correct answerBfinal size
- Ctime of growth
- Dgrowth rate
Solution
The mathematical expression for geometric (exponential) growth is given by $W_1 = W_0 e^{rt}$.
In this equation:
$W_1$ represents the final size (weight, height, number, etc.) after time $t$.
$W_0$ represents the initial size at the beginning of the period.
$r$ represents the growth rate (relative growth rate).
$t$ represents the time of growth.
$e$ represents the base of natural logarithms.
Therefore, $W_1$ stands for the final size.
Answer: final size
In this equation:
$W_1$ represents the final size (weight, height, number, etc.) after time $t$.
$W_0$ represents the initial size at the beginning of the period.
$r$ represents the growth rate (relative growth rate).
$t$ represents the time of growth.
$e$ represents the base of natural logarithms.
Therefore, $W_1$ stands for the final size.
Answer: final size
Hence, the correct answer is option: 'B'.