A- If u1 and u2 are units and n1- n 2 are their numerical values in two different systems then n 1 - n 2 - u 1 - u 2-R- The numerical value of physical quantity is inversely proportional to unit-

The correct option is A A and R are correct and R is correct explanation of A ⇒ n_1 u_1 = n_2 u_2 ⇒n_1n_2 = u_2u_1 If n_1 gt; n_2⇒ u_2 gt; u_ ...

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Standard XII

Physics

Units and Dimensions

A: If u1 an...

Question

A: If $u_{1}$ and $u_{2}$ are units and $n_{1}, n_{2}$ are their numerical values in two different systems then $n_{1} > n_{2} \Rightarrow u_{1} < u_{2}$ .
R: The numerical value of physical quantity is inversely proportional to unit.

A and R are correct and R is correct explanation of A

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A and R are correct and R is not correct explanation A

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A is true and R is false

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A is false and R is true

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Solution

The correct option is A A and R are correct and R is correct explanation of A
$\Rightarrow n_{1} u_{1} = n_{2} u_{2}$
$\Rightarrow \frac{n_{1}}{n_{2}} = \frac{u_{2}}{u_{1}}$
If $n_{1} > n_{2} \Rightarrow u_{2} > u_{1}$
$\Rightarrow n \propto \frac{1}{u}$
Hence, option A should be correct.

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A: If u1 and u2 are units and n1, n2 are their numerical values in two different systems then n1>n2⇒u1<u2.R: The numerical value of physical quantity is inversely proportional to unit.

The correct option is A A and R are correct and R is correct explanation of A⇒n1u1=n2u2⇒n1n2=u2u1If n1>n2⇒u2>u1⇒n∝1uHence, option A should be correct.

A: If $u_{1}$ and $u_{2}$ are units and $n_{1}, n_{2}$ are their numerical values in two different systems then $n_{1} > n_{2} \Rightarrow u_{1} < u_{2}$ .
R: The numerical value of physical quantity is inversely proportional to unit.

The correct option is A A and R are correct and R is correct explanation of A
$\Rightarrow n_{1} u_{1} = n_{2} u_{2}$
$\Rightarrow \frac{n_{1}}{n_{2}} = \frac{u_{2}}{u_{1}}$
If $n_{1} > n_{2} \Rightarrow u_{2} > u_{1}$
$\Rightarrow n \propto \frac{1}{u}$
Hence, option A should be correct.