Assertion :The apparent weight of a body of mass m in an elevator moving with a downward acceleration 'a' is R=m(g−a) Reason: The part of weight (mg) spent on producing downward acceleration 'a' is ma. Therefore apparent weight =mg−ms=m(g−a).
A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
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B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
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C
Assertion is correct but Reason is incorrect
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D
Both Assertion and Reason are incorrect
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Solution
The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion Weight of a person on ground w=m×g
If the lift is few metre from ground acceleration due to gravity is g remains unchanged for all practical purpose. Its values 9.88m/sec2.w is the weight or the force which the person exerts on ground and is measured in N. m is the mass not the weight and is measured in ug.
Assuming that the lift is acceleration towards ground from a height with uniform acceleration of ′a′m/s2 the acceleration would be reduced from value of g.
This leads to w1=m×(g−a)
⇒R=m(g−a) [ The assertion ]
Yes the reason is undoubted by correct the part of weight (mg) spert on producing downward accleration ′a′ is ma. Therefore apparent weight
=mg−ms=m(g−a)
Hence, the answer is both assertion and reason are correct and reason is the correct explanation for assertion.