Match the two columns.

Column 1

Column 2

P.

Surface tension

1.

[ML²T^–2]

Q.

Viscosity

2.

[ML²T^–1]

R.

Angular momentum

3.

[ML^–1T^–1]

S.

Rotational kinetic energy

4.

[ML⁰T^–2]

Option 1 -

P–1, Q–2, R–3, S–4

Option 2 -

P–4, Q–3, R–2, S–1

Option 3 -

P–1, Q–3, R–4, S–2

Option 4 -

P–4, Q–2, R–1, S–3

3 Views | Posted a month ago

Asked by Shiksha User

1 Answer

Answered by

alok kumar singh | Contributor-Level 10

a month ago

Correct Option - 2

Detailed Solution:

$S = \frac{F}{L}$

[S] = [MT^–2]

$F = n A \frac{d v}{d x}$

$η = \frac{M L T^{- 2} \cdot T}{L^{2}} = M L^{- 1} T^{- 1}$

$\vec{L} = \vec{r} \times \vec{p}$

L º [ML²T^–1]

$K E = \frac{1}{2} l ω^{2}$

KE º ML²T⁻²

<math> <mrow> <mi>S</mi> <mo>=</mo> <mfrac> <mrow> <mi>F</mi> </mrow> <mrow> <mi>L</mi> </mrow> </mfrac> </mrow> </math>   [S] = [MT–2] <math> <mrow> <mi>F</mi> <mo>=</mo> <mi>n</mi> <mi>A</mi> <mfrac> <mrow> <mi>d</mi> <mi>v</mi> </mrow> <mrow> <mi>d</mi> <mi>x</mi> </mrow> </mfrac> </mrow> </math>   <math> <mrow> <mi>η</mi> <mo>=</mo> <mfrac> <mrow> <mi>M</mi> <mi>L</mi> <msup> <mrow> <mi>T</mi> </mrow> <mrow> <mo>−</mo> <mn>2</mn> </mrow> </msup> <mo>⋅</mo> <mi>T</mi> </mrow> <mrow> <msup> <mrow> <mi>L</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msup> </mrow> </mfrac> <mo>=</mo> <mi>M</mi> <msup> <mrow> <mi>L</mi> </mrow> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> <msup> <mrow> <mi>T</mi> </mrow> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mrow> </math> <!- [endif]-><!- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1027" DrawAspect="Content" ObjectID="_1820395866"> </o:OLEObject></xml><! [endif]-> <math> <mrow> <mover accent="true"> <mi>L</mi> <mo>→</mo> </mover> <mo>=</mo> <mover accent="true"> <mi>r</mi> <mo>→</mo> </mover> <mo>×</mo> <mover accent="true"> <mi>p</mi> <mo>→</mo> </mover> </mrow> </math> <!- [endif]-><!- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1028" DrawAspect="Content" ObjectID="_1820395867"> </o:OLEObject></xml><! [endif]->L º [ML2T–1] <math> <mrow> <mi>K</mi> <mi>E</mi> <mo>=</mo> <mfrac> <mrow> <mn>1</mn> </mrow> <mrow> <mn>2</mn> </mrow> </mfrac> <mi>l</mi> <msup> <mrow> <mi>ω</mi> </mrow> <mrow> <mn>2</mn> </mrow> </msup> </mrow> </math>  KE º ML2T−2

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QuestionsDiscussionsTags

	Column 1		Column 2
P.	Surface tension	1.	[ML²T^–2]
Q.	Viscosity	2.	[ML²T^–1]
R.	Angular momentum	3.	[ML^–1T^–1]
S.	Rotational kinetic energy	4.	[ML⁰T^–2]

Match the two columns.

Column 1

Column 2

P.

Surface tension

1.

[ML²T^–2]

Q.

Viscosity

2.

[ML²T^–1]

R.

Angular momentum

3.

[ML^–1T^–1]

S.

Rotational kinetic energy

4.

[ML⁰T^–2]

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Match the two columns. Column 1 Column 2 P. Surface tension 1. [ML2T–2] Q. Viscosity 2. [ML2T–1] R. Angular momentum 3. [ML–1T–1] S. Rotational kinetic energy 4. [ML0T–2]

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Your Question

Match the two columns.

Column 1

Column 2

P.

Surface tension

1.

[ML²T^–2]

Q.

Viscosity

2.

[ML²T^–1]

R.

Angular momentum

3.

[ML^–1T^–1]

S.

Rotational kinetic energy

4.

[ML⁰T^–2]