Statement -1: Kinetic energy can be divided by volume
and
Statement -2: Dimensions of kinetic energy and volumeare different

Statement -1 is True Statement -2 is True;
Statement -2 is a correct explanation for Statement -1

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Statement -1 is True Statement -2 is True;
Statement -2 is NOT a correct explanation for Statement -1

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Statement -1 is True Statement -2 is False .

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Statement -1 is False Statement -2 is True;

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Solution

The correct option is D Statement -1 is True Statement -2 is True;
Statement -2 is NOT a correct explanation for Statement -1
Division of two Quantities with different dimensions is possible.
Hence, the statement I is correct.
Since dimensions of kinetic energy ( $M L^{2} T^{- 2}$ ) and volume ( $L^{3}$ ) are different, the statement II is correct but is not an explanation for statement I.
Hence, option B is correct.

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Similar questions

S_{1} = \sum_{j = 1}^{10} j (j - 1)^{10} C_{j}, S_{2} = \sum_{j = 1}^{10} j .^{10} C_{j}, S_{3} = \sum_{j = 1}^{10} j^{2} .^{10} C_{j} .

S_{3} = 55 \times 2^{9} .

S_{1} = 90 \times 2^{5} a n d S_{2} = 10 \times 2^{8}

S_{1} = \sum_{j = 1}^{10} j (j - 1)^{10} C_{j}, S_{2} = \sum_{j = 1}^{10} j^{10} C_{j} and S_{3} = \sum_{j = 1}^{10} j^{2}^{10} C_{j} .

S_{3} = 55 \times 2^{9}

S_{1} = 90 \times 2^{8} and S_{2} = 10 \times 2^{8}

n \geq 2,

\frac{1}{\sqrt{1}} + \frac{1}{\sqrt{2}} + . . . + \frac{1}{\sqrt{n}} > \sqrt{n}

\sqrt{n (n + 1)} < n + 1

C_{r m s} = \sqrt{\frac{3 P V}{M}}

- 1 :

0 < x < y \Rightarrow {log}_{a} x > {log}_{a} y

a > 1

- 2 :

a > 1, {log}_{a} x

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