1.

Consider three solid spheres, sphere (i) has radius r and mass m, sphere (ii) has radius r and mass 3 m, sphere (iii) has radius 3r and mass m, All can be placed at the same point on the same inclined plane, where they will roll without slipping to the bottom, If allowed to roll down the incline, then at the bottom of the inclineA. sphere (i) will have the largest speedB. sphere (ii) will havethe largest speedC. sphere (iii) will have the largest kinetic energyD. all the sphere will have equal speeds.

Answer» Correct Answer - D
Acceleration, `a=(g sin theta)/(1+(I)/(mv^(2)))`
For a sphere, `(I)/(mv^(2))=(2)/(5)`
Hence, `a=(5)/(7)g sin theta=` constant,
Hence, speed of all sphere is same at the bottom. Sphere (ii) has the largest mass. Hence, it will have the maximum kinetic energy.


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