Three different objects $m_{1}, m_{2}$ and $m_{3}$ are allowed to fall from rest and from the same point $O$ along three different frictionless paths. The speeds of the three objects, on reaching the ground, will be in the ratio of

m_{1} : m_{2} : m_{3}

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

1 : 1 : 1

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

m_{1} : 2 m_{2} : 3 m_{3}

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

\frac{1}{m_{1}} : \frac{1}{m_{2}} : \frac{1}{m_{3}}

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

Open in App

Solution

The correct option is B 1 : 1 : 1
Since all of them had the same potential energy initially and there was no friction on any of them so all the energy converted to kinetic energy.
For any mass m final velocity. $m g h = \frac{m v^{2}}{2} v = \sqrt{2 g h}$
is independent of mass and path so all three of them will have same speed.

Suggest Corrections

Similar questions

Three different objects of mass $m_{1}$ , $m_{2}$ and $m_{3}$ are allowed to fall from rest and from the same point along three different frictionless paths. The speed of the three objects on reaching the ground will be in the ratio of

Three different objects of masses $m_{1}, m_{2} a n d m_{3}$ are made to fall from rest along three frictionless paths, from the same height. What is the ratio of their speeds to reach the ground?

Q. Three different objects of masses

m_{1}, m_{2} a n d m_{3}

are allowed to fall from rest and from the same point 'O' along three different frictionless paths .The speeds of the three objects on reaching the ground will be in the ratio of :

Q. In the arrangement, shown in figure, pulleys are massless and frictionless and threads are inextensible. Blocks of mass m1 will remain at rest if

Three solids of masses $m_{1}, m_{2} a n d m_{3}$ are connected with weightless string in succession and are placed on a frictionless table. If the mass $m_{3}$ is dragged with a force T, the tension in the string between $m_{2}$ and $m_{3}$ is

Join BYJU'S Learning Program

Three different objects m1,m2 and m3 are allowed to fall from rest and from the same point O along three different frictionless paths. The speeds of the three objects, on reaching the ground, will be in the ratio of

The correct option is B 1 : 1 : 1Since all of them had the same potential energy initially and there was no friction on any of them so all the energy converted to kinetic energy.For any mass m final velocity. mgh=mv22v=√2ghis independent of mass and path so all three of them will have same speed.

Three different objects $m_{1}, m_{2}$ and $m_{3}$ are allowed to fall from rest and from the same point $O$ along three different frictionless paths. The speeds of the three objects, on reaching the ground, will be in the ratio of