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JEE Main 10 Jan 2019 Shift 2 Solved Paper
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© examsnet.com
Question : 25
Total: 90
A cylindrical plastic bottle of negligible mass is filled with 310 ml of water and left floating in a pond with still water. If pressed downward slightly and released, it starts performing simple harmonic motion at angular frequency ω. If the radius ofthe bottle is 2.5 cm then ω close to : (density of water =
10
3
kg /
m
3
)
5.00 rad
s
–
1
1.25 rad
s
–
1
3.75 rad
s
–
1
2.50 rad
s
–
1
None of the above
Validate
Solution:
Extra Boyant force = δAxg
B
0
+ B × mg = ma
B = ma
a =
(
δ
A
g
m
)
x
w
2
=
δ
A
g
m
w =
√
10
3
×
π
(
2.5
)
2
×
10
−
4
×
10
310
×
10
−
6
×
10
3
=
√
63.30
= 7.95
© examsnet.com
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