JEE MAIN - Physics (2023 - 24th January Morning Shift - No. 17)

Given below are two statements :

Statement I : An elevator can go up or down with uniform speed when its weight is balanced with the tension of its cable.

Statement II : Force exerted by the floor of an elevator on the foot of a person standing on it is more than his/her weight when the elevator goes down with increasing speed.

In the light of the above statements, choose the correct answer from the options given below :

Both Statement I and Statement II are false
Both Statement I and Statement II are true
Statement I is false but Statement II is true
Statement I is true but Statement II is false

Explanation

Statement I says that when the weight of an elevator is balanced with the tension of its cable, it can move up or down with a uniform speed. This is true because the weight of the elevator is balanced by the tension in the cable, which allows it to move smoothly and at a constant speed.

Statement II says that the force exerted by the floor of an elevator on a person's foot is greater than their weight when the elevator goes down with increasing speed. This is false because the force exerted by the floor on a person's foot is equal to their weight, regardless of the speed of the elevator. The person's weight is a constant force and does not change with the speed of the elevator. The apparent weight of a person may change with the speed of the elevator, but this is due to the effects of acceleration and not an increase in the force exerted by the floor.

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