Porous rock through which groundwater can move is called an aquifer. The volume V of water that in time t moves through a cross-section of area A of the aquifer is given by, V t = K A H L , where H is the vertical height of the aquifer over the horizontal distance L . This relation is called Darcy’s law. The quantity K is the hydraulic conductivity of the aquifer. What is the SI unit of K ?

As per the given expression, V t = K A H L ⇒ K = V L A H t Assuming L be the symbol for length and T be the symbol for time, dimensional formula of all physical quantities used are given by, V = L 3 ; L = L ; A = L 2 ; H = L ; t = T Writing the dimensional equation for hydraulic conductivity K , K = L 3 L L 2 L T = L T = LT - 1 Hence, the SI unit of K is m s - 1 .

E M B I B E

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I JEE Main & Advanced>Chapter 1 - Unit Dimension and Measurement>DPP>Q 7

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JEE Main

IMPORTANT

Earn 100

Which of the following is not a unit of energy?

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Important Questions on Unit Dimension and Measurement

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JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I JEE Main & Advanced>Chapter 1 - Unit Dimension and Measurement>DPP>Q 8

Temperature can be expressed as a derived quantity in terms of any of the following

EASY

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I JEE Main & Advanced>Chapter 1 - Unit Dimension and Measurement>DPP>Q 9

Erg m^{- 1}

can be the unit for measuring:

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JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I JEE Main & Advanced>Chapter 1 - Unit Dimension and Measurement>DPP>Q 10

The unit of potential energy is

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JEE Main

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I JEE Main & Advanced>Chapter 1 - Unit Dimension and Measurement>DPP>Q 11

Which of the following represents a

volt

?

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I JEE Main & Advanced>Chapter 1 - Unit Dimension and Measurement>DPP>Q 12

If the unit of length and force is increased four times, then the unit of energy is

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I JEE Main & Advanced>Chapter 1 - Unit Dimension and Measurement>DPP>Q 13

Ampere - hour

is a unit of which of the following quantities.

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JEE Main

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Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I JEE Main & Advanced>Chapter 1 - Unit Dimension and Measurement>DPP>Q 14

Which of the following ratios express pressure?

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JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Mechanics I JEE Main & Advanced>Chapter 1 - Unit Dimension and Measurement>DPP>Q 1

Porous rock through which groundwater can move is called an aquifer. The volume $V$ of water that in time $t$ moves through a cross-section of area $A$ of the aquifer is given by, $\frac{V}{t} = \frac{K A H}{L}$ , where $H$ is the vertical height of the aquifer over the horizontal distance $L$ . This relation is called Darcy’s law. The quantity $K$ is the hydraulic conductivity of the aquifer. What is the SI unit of $K$ ?

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