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Physics-

General

Easy

Question

If a resistance $R subscript 2 end subscript$ is connected in parallel with the resistance R in the circuit shown, then possible value of current through R and the possible value of $R subscript 2 end subscript$ will be

$\frac{I}{3}, R$
$I, 2 R$
$\frac{I}{3}, 2 R$
$\frac{I}{2}, R$

The correct answer is: $fraction numerator I over denominator 2 end fraction comma R$

According to the figure, $left parenthesis I minus I subscript 1 end subscript right parenthesis R subscript 2 end subscript equals I subscript 1 end subscript R$

Only two values satisfying the above relation are $fraction numerator I over denominator 2 end fraction$ and R

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parallel

The points $open parentheses 0 comma fraction numerator 8 over denominator 3 end fraction close parentheses comma left parenthesis 1 , 3 right parenthesis text and end text left parenthesis 82 , 30 right parenthesis$

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If, for a positive integer n, the quadratic equation $x left parenthesis x plus 1 right parenthesis plus left parenthesis x plus 1 right parenthesis left parenthesis x plus 2 right parenthesis plus horizontal ellipsis plus left parenthesis x plus stack n minus 1 with bar on top right parenthesis left parenthesis x plus n right parenthesis equals 10 n$ has two consecutive integral solutions, then n is equal to

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parallel

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parallel

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