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:JEE Main 2023 (24 Jan Shift 1)ABoth Statement I and Statement II are falseBStatement I is true but Statement II is falseCBoth Statement I and Statement II are trueDStatement I is false but Statement II is true
Question
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:JEE Main 2023 (24 Jan Shift 1)ABoth Statement I and Statement II are falseBStatement I is true but Statement II is falseCBoth Statement I and Statement II are trueDStatement I is false but Statement II is true
Solution
Let's analyze both statements:
Statement-I: An elevator can go up or down with uniform speed when its weight is balanced with the tension of its cable. This statement is true. When an elevator is moving at a constant speed (either up or down), the forces acting on it are balanced. The force due to gravity (the weight of the elevator) is balanced by the tension in the 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. This statement is false. When an elevator is accelerating downwards, the force exerted by the floor on a person is less than the person's weight. This is because the person and the elevator are both accelerating downwards, so the person feels lighter.
So, the correct answer is B: Statement I is true but Statement II is false.
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