Question 21 of 210

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:

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

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Answer: (B) Statement I is true but Statement II is false

When elevator is moving with uniform speed $T={F}_{g}$, as the net force along the vertical direction should be zero.
Therefore, Statement-I is true.
Now, when elevator is going down with increasing speed, its acceleration is downward.
Hence,
$W-N=ma \Rightarrow W-N=\dfrac{W}{g}\times a$
$\Rightarrow N=W\left(1-\dfrac{a}{g}\right)$
Clearly, normal reaction is less than weight. So Statement-II is false.