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 $= m g - m s = m (g - a)$ .

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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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 $w = m \times g$
If the lift is few metre from ground acceleration due to gravity is $g$ remains unchanged for all practical purpose. Its values $9.88 m / s e c^{2} .$ $w$ 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 $u g .$
Assuming that the lift is acceleration towards ground from a height with uniform acceleration of $^{'} a^{'} m / s^{2}$ the acceleration would be reduced from value of $g .$
This leads to $w_{1} = m \times (g - a)$
$\Rightarrow R = m (g - a)$ [ The assertion ]
Yes the reason is undoubted by correct the part of weight $(m g)$ spert on producing downward accleration $^{'} a^{'}$ is $m a .$ Therefore apparent weight
$= m g - m s = m (g - a)$
Hence, the answer is both assertion and reason are correct and reason is the correct explanation for assertion.

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ASSERTION: n-Pentane and n-Hexane belong to a homologous series.

REASON: n-Pentane and n-Hexane belong to the same class of hydrocarbons and they differ by a - $C H_{2}$ - group.

Assertion (A) Order of the reaction can be zero or fractional.

Reason (R) We cannot determine order from balanced chemical equation.

(a) Both assertion and reason are correct and the reason is correct explanation of assertion
(b) Both assertion and reason are correct, but reason does not explain assertion.
(c) Assertion is correct, but reason is incorrect
(d) Both assertion and reason are incorrect
(e) Assertion is incorrect but reason is correct.

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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).

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 $= m g - m s = m (g - a)$ .