Assertion : Two identical trains moving on rails along the equator of the earth, with the same speed but in opposite directions, exert the same pressure on the rails
Reason : Due to the rotation of the earth, the effective weight of a body of mass m is equal to `m (g - omega^(2) r)`

Options

A. If both Assertion and Reason are true and Reason is the correct explanation of Assertion
B. If both Assertion and Reason are true but Reason is not correct explanation of Assertion
C. If Assertion is ture but Reason is false
D. If both Assertion and Reason are false

Answer

D

Explanation

Let v be the effective of a body situated at a distance r from the centre of the earth . The velocity of the earth will be aded to the velocity of the train moving in the same direction and will be subtracted from the velocity of the other train. The effective value of velocity v, there fore, will be different. This results in a different value for the weight m `(g - omega^(2) R)` and hence the effective value of pressure on the rails will different