CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

An air bubble of radius 1cm in water has an upward acceleration 9.8cms-2. The density of water is 1gmcm-3 and water offers negligible drag force on the bubble. The mass of the bubble is (g=980cm/s2).


A

1.52gm

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

4.51gm

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

3.15gm

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

4.15gm

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D

4.15gm


Step 1. Given data

Radius of the air bubble, r=1cm

Upward acceleration, a=9.8ms-2

Density of the water, ρw=1gmcm-3

Acceleration due to gravity, g=9.8ms-2

Step 2. Finding the mass of air bubble, m

Total force experienced by the air bubble as per our diagram is

Fbmg=ma [Fbis buoyant force is the product of the volume of the air bubble, density of the water and the acceleration due to the gravity.]

where, Fb=43πx13×1×9.8

Thus,

m=(4/3)πr3.ρw.g(g+a)=(4/3)π13.1.980(980+9.8)=4.15gm

Hence, option D is correct.


flag
Suggest Corrections
thumbs-up
2
BNAT
mid-banner-image