If the ratio of the weight of a man in a stationary lift and when it is moving downwards with uniform acceleration a is 3 : 2, then the value ofa is

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Q: 44 (NDA-II/2011)
If the ratio of the weight of a man in a stationary lift and when it is moving downwards with uniform acceleration ‘a’ is 3 : 2, then the value of‘a’ is

question_subject: 

Science

question_exam: 

NDA-II

stats: 

0,5,10,5,5,3,2

keywords: 

{'uniform acceleration': [0, 0, 0, 5], 'stationary lift': [0, 0, 0, 1], 'weight': [0, 0, 1, 1], 'ratio': [1, 0, 1, 12], 'downwards': [2, 0, 0, 1], 'value': [0, 0, 1, 0]}

In this question, the weight of the man in the stationary lift is compared to the weight of the man when the lift is moving downwards with uniform acceleration `a`. The given ratio of the weights is 3:2.

Option 1: 3g/2

This option represents the acceleration as 3g/2. However, this option does not satisfy the given ratio of the weights.

Option 2: g/3

This option represents the acceleration as g/3. Let`s assume the weight of the man in the stationary lift is 3w. According to the given ratio, the weight of the man when the lift is moving downwards would be 2w. Using the equation of motion for the weight, we have:

3w - 3w/a = 2w

Simplifying this equation, we get:

3 - 3/a = 2

Solving for `a`, we find that a = g/3, which satisfies the given ratio of the weights. Therefore, option 2 is the correct answer.

Option 3: g

This option represents the acceleration as g. However, this option does not satisfy the given ratio of the weights.

Option 4: 2g/3

This option represents