Question

34. Two particles of masses m and 2m respectively
have speeds v each. The ratio of their respective
kinetic energy is
(1) 2 :1
• 2 1:2
(3) 3:1
(4) 1:3​

Answer 1

Answer:

1:2

Explanation:

I thought the answer should be 1:2

Answer 2

Answer:

The ratio would be given as 1:2.

Explanation:

      There are two particles that are given to us one has mass M and the other has mass 2m and the moving kinetic energy of any particle is given by the product of its mass and velocity square hence putting these two values in the formula we get:-

            For mass M, $\frac{1}{2} mv^2$

             For mass 2m,$\frac{1}{2} 2mv^2$

now finding the  ratio for both the Kinetic energies with mass M and 2m we get

                                $\frac{m}{2m} = \frac{1}{2}$

The kinetic energy ratios,

Hence the ratio of kinetic energy for the particles will also be 1:2.