Statement1: |
Two Cylinders, one hollow (metal) and the other solid (wood) with the same mass and identical dimensions are simultaneously allowed to roll without slipping down an inclined plane from the same height. The hollow cylinder will reach the bottom of the inclined plane first |
Statement2: |
By the principle of conservation of energy, the total kinetic energies of both the cylinders are identical when they reach the bottom of the incline |
a) |
Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1 |
b) |
Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1 |
c) |
Statement 1 is True, Statement 2 is False |
d) |
Statement 1 is False, Statement 2 is True |
Statement1: |
Two Cylinders, one hollow (metal) and the other solid (wood) with the same mass and identical dimensions are simultaneously allowed to roll without slipping down an inclined plane from the same height. The hollow cylinder will reach the bottom of the inclined plane first |
Statement2: |
By the principle of conservation of energy, the total kinetic energies of both the cylinders are identical when they reach the bottom of the incline |
a) |
Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1 |
b) |
Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1 |
c) |
Statement 1 is True, Statement 2 is False |
d) |
Statement 1 is False, Statement 2 is True |
(d) Time of descent from inclined plane As Therefore solid cylinder will reach the bottom first i. ., statement 1 is wrong As they possess equal potential energy initially at the top therefore their kinetic energies will also be equal at the bottom, i. ., statement 2 is true |