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JEE Mains · Physics · STD 11 - Newtons laws of motion
  • JEE Mains 2023
  • Medium
  • MCQ

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 :

Pick an option to check your answer.
Verified Solution

Answer & Solution

Correct Answer

(B) Statement \(I\) is true but Statement \(II\) is false

Step-by-step Solution

Detailed explanation

When elevator is moving with uniform speed \(T = F _{ g }\)

Statement\(-2\)

When elevator is going down with increasing speed, its acceleration is downward.

Hence 

\(W - N =\frac{ W }{ g } \times a\)

\(N = W \left(1-\frac{ a }{ g }\right) \text { i.e. less than weight. }\)

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