Match List - I with List - II : List - I: (a) Gravitational constant (G) (b) Gravitational potential energy (c) Gravitational potential (d) Gravitational intensity List - II: (i) [L²T⁻²] (ii) [M⁻¹L³T⁻²] (iii) [LT⁻²] (iv) [ML²T⁻²] Choose the correct answer from the options given below : 1. (a) - (iv), (b) - (ii), (c) - (i), (d) - (iii) 2. (a) - (ii), (b) - (i), (c) - (iv), (d) - (iii) 3. (a) - (ii), (b) - (iv), (c) - (i), (d) - (iii) 4. (a) - (ii), (b) - (iv), (c) - (iii), (d) - (i)

Answer: 3. (a) - (ii), (b) - (iv), (c) - (i), (d) - (iii) Find each dimension from its formula. (a) G=Fr²/m² : [M⁻¹L³T⁻²] , so (ii) (b) Potential energy: [ML²T⁻²] , so (iv) (c) Potential = energy per mass: [L²T⁻²] , so (i) (d) Intensity = force per mass: [LT⁻²] , so (iii) This is option (3).

Topic: Dimensions and dimensional analysis· Physics and Measurement

Match List - I with List - II :List - I: (a) Gravitational constant (G) (b) Gravitational potential energy (c) Gravitational potential (d) Gravitational intensityList - II: (i) [L^2T^-2] (ii) [M^-1L^3T^-2] (iii) [LT^-2] (iv) [ML^2T^-2]Choose the corr…

Match List - I with List - II :

List - I: (a) Gravitational constant (G) (b) Gravitational potential energy (c) Gravitational potential (d) Gravitational intensity

List - II: (i) \([L^{2}T^{-2}]\) (ii) \([M^{-1}L^{3}T^{-2}]\) (iii) \([LT^{-2}]\) (iv) \([ML^{2}T^{-2}]\)

Choose the correct answer from the options given below :

1. (a) - (iv), (b) - (ii), (c) - (i), (d) - (iii)

2. (a) - (ii), (b) - (i), (c) - (iv), (d) - (iii)

3. (a) - (ii), (b) - (iv), (c) - (i), (d) - (iii)

4. (a) - (ii), (b) - (iv), (c) - (iii), (d) - (i)

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Answer: 3. (a) - (ii), (b) - (iv), (c) - (i), (d) - (iii)

Find each dimension from its formula.

(a) \(G=\dfrac{Fr^2}{m^2}\): \([M^{-1}L^{3}T^{-2}]\), so (ii)
(b) Potential energy: \([ML^{2}T^{-2}]\), so (iv)
(c) Potential = energy per mass: \([L^{2}T^{-2}]\), so (i)
(d) Intensity = force per mass: \([LT^{-2}]\), so (iii)

This is option (3).

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Match List - I with List - II :List - I: (a) Gravitational constant (G) (b) Gravitational potential energy (c) Gravitational potential (d) Gravitational intensityList - II: (i) [L^2T^-2] (ii) [M^-1L^3T^-2] (iii) [LT^-2] (iv) [ML^2T^-2]Choose the corr…

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