#### Suppose that the angular velocity of rotation of earth is increased. Then, as a consequence : Option 1) Weight of the object, everywhere on the earth, will increase. Option 2) Weight of the object, everywhere on the earth, will decrease Option 3) There will be no change in weight anywhere on the earth. Option 4) Except at poles, weight of the object on the earth will decrease.

As we have learned

Variation in 'g' due to Rotation of earth -

latitude angle

Angular velocity of rotation of earth

New value of 'g'.

- wherein

Apparent weight of body decrease with rotation of earth so value of g also decrease.

all other points , as w is increased g' will decrease

Option 1)

Weight of the object, everywhere on the earth, will increase.

This is incorrect

Option 2)

Weight of the object, everywhere on the earth, will decrease

This is incorrect

Option 3)

There will be no change in weight anywhere on the earth.

This is incorrect

Option 4)

Except at poles, weight of the object on the earth will decrease.

This is correct