Dimensional formula for thermal conductivity is (here $K$ denotes the temperature):

Option 1 - <math> <msup> <mrow> <mrow> <mi mathvariant="normal">M</mi> <mi mathvariant="normal">L</mi> <mi mathvariant="normal">T</mi> </mrow> </mrow> <mrow> <mrow> <mo>-</mo> <mn>3</mn> </mrow> </mrow> </msup> <msup> <mrow> <mrow> <mtext> </mtext> <mi mathvariant="normal">K</mi> </mrow> </mrow> <mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </mrow> </msup> </math>

Option 2 - <math> <msup> <mrow> <mrow> <mi mathvariant="normal">M</mi> <mi mathvariant="normal">L</mi> <mi mathvariant="normal">T</mi> </mrow> </mrow> <mrow> <mrow> <mo>-</mo> <mn>2</mn> </mrow> </mrow> </msup> <msup> <mrow> <mrow> <mtext> </mtext> <mi mathvariant="normal">K</mi> </mrow> </mrow> <mrow> <mrow> <mo>-</mo> <mn>2</mn> </mrow> </mrow> </msup> </math>

Option 3 - <math> <msup> <mrow> <mrow> <mi mathvariant="normal">M</mi> <mi mathvariant="normal">L</mi> <mi mathvariant="normal">T</mi> </mrow> </mrow> <mrow> <mrow> <mo>-</mo> <mn>2</mn> </mrow> </mrow> </msup> <mtext> </mtext> <mi mathvariant="normal">K</mi> </math>

Option 4 - <math> <msup> <mrow> <mrow> <mi mathvariant="normal">M</mi> <mi mathvariant="normal">L</mi> <mi mathvariant="normal">T</mi> </mrow> </mrow> <mrow> <mrow> <mo>-</mo> <mn>3</mn> </mrow> </mrow> </msup> <mtext> </mtext> <mi mathvariant="normal">K</mi> </math>

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Answered by

Alok Kumar Singh | Contributor-Level 10

7 months ago

Correct Option - 1

Detailed Solution:

$K = \frac{(\frac{Q}{r}) Δ x}{Δ A T}$

$\begin{array}{l} \Rightarrow & \frac{({M L}^{2} T^{- 2}) (L)}{(L^{2}) (θ) (T)} \\ \Rightarrow & M^{1} L^{1 -} T^{- 3} θ^{- 1} \end{array}$

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[use g = 10 ms^-²] :

Alok Kumar Singh

Let 't' be the time taken by B to meat A. &n

Payal Gupta

Let ‘t’ be the time taken by B to meat

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Now for B

h = ut + $\frac{1}{2} a t^{2}$

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A Tennis ball is released from a height $h$ and after freely falling on a wooden floor it rebounds and reaches height $\frac{h}{2}$ . The velocity versus height of the ball during its motion may be represented graphically by:

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h = 39.2 + 19.6 = 58.8 m

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Dimensional formula for thermal conductivity is (here K denotes the temperature):