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{:("List-I","List - 2"),((a)m^(-1),(e)"S...

`{:("List-I","List - 2"),((a)m^(-1),(e)"Surface tension"),((b)Pa,(f)"Thermal capacity"),((c)Jk^(-1),(g)"Rydberg constant"),((d) Jm^(-2),(h)"Energy density"):}`

A

a - h`" "` b- f `" "`c -e `" "` d-g

B

a - g`" "` b- h `" "`c -e `" "` d-f

C

a - g`" "` b- h `" "`c -f `" "` d-e

D

a - f`" "` b- e `" "`c -g `" "` d-h

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of matching the units in List-I with the corresponding physical quantities in List-2, we will analyze each unit and identify which physical quantity it represents. ### Step-by-Step Solution: 1. **Identify the first unit: m^(-1)** - The unit m^(-1) represents inverse meters. This is commonly associated with the Rydberg constant, which is used in atomic physics to describe the wavelengths of spectral lines in many chemical elements. - **Match:** (a) m^(-1) → (g) Rydberg constant 2. **Identify the second unit: Pa** - The unit Pascal (Pa) is a measure of pressure, but it can also represent energy density when expressed in terms of force per unit area. In this case, we will consider it as energy density. - **Match:** (b) Pa → (h) Energy density 3. **Identify the third unit: Jk^(-1)** - The unit Joule per Kelvin (J/K) is used to express thermal capacity, which is the amount of heat required to change the temperature of a substance by one degree Kelvin. - **Match:** (c) Jk^(-1) → (f) Thermal capacity 4. **Identify the fourth unit: Jm^(-2)** - The unit Joule per square meter (J/m^2) is used to express surface tension, which is defined as the amount of energy required to increase the surface area of a liquid. - **Match:** (d) Jm^(-2) → (e) Surface tension ### Final Matches: - (a) m^(-1) → (g) Rydberg constant - (b) Pa → (h) Energy density - (c) Jk^(-1) → (f) Thermal capacity - (d) Jm^(-2) → (e) Surface tension ### Conclusion: The correct matching is: - AG, BH, CF, DE
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AAKASH SERIES-UNITS AND MEASUREMENTS-EXERCISE -1 A
  1. (A) : Plane angle has unit but no dimensional formula (B) : All dim...

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  2. Dimensional formulae are used A) to convert one system of units into...

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  3. (A) The correctness of an equation is verified using the principle of ...

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  4. .(A): The value of dimensionless constants or proportionality constant...

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  5. Which of the following is not a unit of time A) par sec B) light ye...

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  6. Which of the following is dimensionless (a) Boltzmann constant (b) ...

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  7. For a body in a uniformly accelerated motion, the distance of the body...

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  8. Three of the quantities defined below has the same dimensional formula...

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  9. If e, E0, h and C respectively represents electronic change, permittiv...

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  10. Photon is quantum of radiation with energy E=hv, where v is frequency ...

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  11. The displacement of a particle executing simple harmonic motion is giv...

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  12. Match the following : {:("List - 1","List - 2"),((a) "second" ,(e) "...

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  13. Match the following : {:("List - 1","List - 2"),((a) "second" ,(e) "...

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  14. {:("List-I","List - 2"),((a)m^(-1),(e)"Surface tension"),((b)Pa,(f)"Th...

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  15. {:("List-I","List-2"),((a)"Electron volt",(e)746 W),((b) "kWH", (f) 10...

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  16. {:("List-I","List-2"),((a)"Pressure ",(e)ML^(2)T^(-2)I^(-1)),((b)"Late...

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  17. Match the following : {:("List - 1","List - 2"),((a) "second" ,(e) "...

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  18. h d G has the dimensions of (h = height , d = density , G = Gravitatio...

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  19. Some physical constants are given in List-1 and their dimensional form...

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  20. Dimensional formula formula for thermal conductivity is (here K denote...

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