Jee Main 2024 31 01 2024 Shift 1 - Question10
Question 10
When a small spherical ball is dropped into a long cylindrical pipe filled with glycerine, then what will be the $v$ versus $t$ graph?
(1)
(2)
(3)
(4)
Show Answer
Answer: (3)
Solution:
$F=m g-B-6 \pi \eta r v$
Where $B$ : Buoyancy
$ \begin{aligned} & \Rightarrow \quad m \frac{d v}{d t}=\underbrace{(m g-B)} _{\text {constant }}-\underbrace{(6 \pi \eta r) v} _{\text {constant }} \\ & \Rightarrow \quad v=v _0\left[1-e^{-c t}\right], c: \text { constant } \end{aligned} $
BETA
