Match List-I with List-II, Coefficient of viscosity, Surface tension, Angular momentum, Rotational kinetic energy

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Q.
Match List-I with List-II [2024]

List-I List-II

A. Coefficient of viscosity I. $[M L^{2} T^{- 2}]$

B. Surface tension II. $[M L^{2} T^{- 1}]$

C. Angular momentum III. $[M L^{- 1} T^{- 1}]$

D. Rotational kinetic energy IV. $[M L^{0} T^{- 2}]$

1 A-II, B-I, C-IV, D-III

2 A-I, B-II, C-III, D-IV

3 A-III, B-IV, C-II, D-I

4 A-IV, B-III, C-II, D-I

Ans.
(3)

(A) Coefficient of viscosity

$F = 6 πηrv$

$[M^{1} L^{1} T^{- 2}] = [η] [M^{0} L^{1} T^{0}] [M^{0} L^{1} T^{- 1}]$

$[η] = \frac{[M^{1} L^{1} T^{- 2}]}{[M^{0} L^{1} T^{0}] [M^{0} L^{1} T^{- 1}]} = [M^{1} L^{- 1} T^{- 1}] \to (I I I)$

(B) Surface Tension

$(T) = \frac{F}{l} = \frac{[M^{1} L^{1} T^{- 2}]}{[M^{0} L^{1} T^{0}]} = [M^{1} L^{0} T^{- 2}] \to (I V)$

(C) Angular momentum

$m v r = [M^{1} L^{0} T^{0}] [M^{0} L^{1} T^{- 1}] [M^{0} L^{1} T^{0}]$

$= [M^{1} L^{2} T^{- 1}] \to (I I)$

(D) Rotational Kinetic Energy

$[M^{1} L^{2} T^{- 2}] \to (I)$

Solution

Q.
Match List-I with List-II [2024]

List-I List-II

A. Coefficient of viscosity I. $[M L^{2} T^{- 2}]$

B. Surface tension II. $[M L^{2} T^{- 1}]$

C. Angular momentum III. $[M L^{- 1} T^{- 1}]$

D. Rotational kinetic energy IV. $[M L^{0} T^{- 2}]$

1 A-II, B-I, C-IV, D-III

2 A-I, B-II, C-III, D-IV

3 A-III, B-IV, C-II, D-I

4 A-IV, B-III, C-II, D-I

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	List-I		List-II
A.	Coefficient of viscosity	I.	$[M L^{2} T^{- 2}]$
B.	Surface tension	II.	$[M L^{2} T^{- 1}]$
C.	Angular momentum	III.	$[M L^{- 1} T^{- 1}]$
D.	Rotational kinetic energy	IV.	$[M L^{0} T^{- 2}]$

Solution

Q. Match List-I with List-II [2024] List-I List-II A. Coefficient of viscosity I. [ML2T-2] B. Surface tension II. [ML2T-1] C. Angular momentum III. [ML-1T-1] D. Rotational kinetic energy IV. [ML0T-2]

1 A-II, B-I, C-IV, D-III

2 A-I, B-II, C-III, D-IV

3 A-III, B-IV, C-II, D-I

4 A-IV, B-III, C-II, D-I

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Q.
Match List-I with List-II [2024]

List-I List-II

A. Coefficient of viscosity I. $[M L^{2} T^{- 2}]$

B. Surface tension II. $[M L^{2} T^{- 1}]$

C. Angular momentum III. $[M L^{- 1} T^{- 1}]$

D. Rotational kinetic energy IV. $[M L^{0} T^{- 2}]$