Question

The mass of spherical cannonballs is directly proportional to the cube of their diameter. A cannon ball of diameter 100 cm must be decreased to a diameter of y cm if its mass is to be halved. Find y.​

Answer 1

Correct option is

A

910m

Given, diameter of spherical ball(d)=1cm=0.01m

Radius of spherical ball(r)=20.01m Density of spherical ball(p)=5×103kg m-3

Density of liquid(o)=3×103kgm-3

Coefficient of viscosity (n)-0.1Nsm-2

We know that,

V=92ngr2(0-0)

v=9x(2)2×0.12×10×(0.01)2×(5×103-3×103)

v=910ms-1

Now, S=vt

S-910x1

S=910m