Basic Maths and Units and DimensionsHard
Question
Two solid spheres of same material but of mass m and 8m fall simultaneously in a viscous liquid and their terminal velocities are v and nv then value of n is : -
Options
A.16
B.8
C.4
D.2
Solution
Mass = Volume × density
M =
πr3 × ρ ⇒ m ∝ r3
VT ∝ r2 ⇒
⇒ (VT)2 = 4(VT)1 ⇒ n = 4.
M =
πr3 × ρ ⇒ m ∝ r3VT ∝ r2 ⇒
⇒ (VT)2 = 4(VT)1 ⇒ n = 4.
Create a free account to view solution
View Solution FreeTopic: Basic Maths and Units and Dimensions·Practice all Basic Maths and Units and Dimensions questions
More Basic Maths and Units and Dimensions Questions
If energy E, velocity (V) and time (T) are choosen as the fundamental quantities, then the dimensions of surface tension...Two identical glass rods S1 and S2 (refractive index = 1.5) have one convex end of radius of curvature 10 cm. They are p...A system goes from A to be via two process I and II as shown in internal engies in the process I and II respectly y, the...A force F is given by F = at + bt2, where t is time. The dimension of a and b are...Initial pressure and volume of a gas are P and V respectively. First it is expanded isothermally to volume 4V and then c...