JEE Mains · Physics · STD 11 - 4.1 newtons laws of motion
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 :
- A Both statement \(I\) and statement \(II\) are false
- B Statement \(I\) is true but Statement \(II\) is false
- C Both Statement \(I\) and Statement \(II\) are true
- D Statement \(I\) is false but Statement \(II\) is true
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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