CBSE Class 12-science Answered
14th sum plz
![question image](https://images.topperlearning.com/topper/new-ate/topr_51232713199181rps20190820170719.jpeg)
Asked by lovemaan5500 | 20 Aug, 2019, 17:10: PM
Let r denotes the radius of the raindrop after t minutes.
radius is decreasing as the rate of change of r must be negative.
Let V be the volume of the raindropand S be its surface area.
![begin mathsize 16px style straight V equals 4 over 3 πr cubed space and space straight S equals 4 πr squared end style](https://images.topperlearning.com/topper/tinymce/cache/3727b71d046e9dc2d986490393b074a2.png)
![begin mathsize 16px style dv over dt straight alpha space straight S
fraction numerator begin display style dv end style over denominator begin display style dt end style end fraction equals negative kS end style](https://images.topperlearning.com/topper/tinymce/cache/4ea27add3cb94a9c2d2edfb518371fed.png)
![begin mathsize 16px style 4 over 3 straight pi 3 straight r squared dr over dt equals negative straight k 4 πr squared
fraction numerator begin display style dr end style over denominator begin display style dt end style end fraction equals negative straight k end style](https://images.topperlearning.com/topper/tinymce/cache/29ad807c58e05a9f010512f304c213a0.png)
Integrating we get
r = -kt + c
At time t = 0 and radius is r0
r0 = c
r = -kt + r0
Answered by Sneha shidid | 20 Aug, 2019, 18:24: PM
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