Match List I with List II LIST I LIST II A Young's Modulus (Y) 1 [ M L -1 T -1] B Co-efficient of Viscosity (η) 2 [ M L 2 T -1] C Planck's Constant (h) 3 [ M L -1 T -2] D Work Function (φ) 4 [ M L -2 T -2] Choose the correct answer from the options given below:

Question

Match List I with List II LIST I LIST II A Young's Modulus (Y) 1 [ M L -1 T -1] B Co-efficient of Viscosity (η) 2 [ M L 2 T -1] C Planck's Constant (h) 3 [ M L -1 T -2] D Work Function (φ) 4 [ M L -2 T -2] Choose the correct answer from the options given below: (A) A-I, B-III, C-IV, D-II (B) A-I, B-II, C-III, D-IV (C) A-II, B-III, C-IV, D-I (D) A-III, B-I, C-II, D-IV

Tardigrade Admin · Accepted Answer

Y =( text Stress / text Strain )=( F / A /Δ ℓ / ℓ)=([ MLT -2]/[ L 2])=[ ML -1 T -2] F =6 π η rv ⇒ η=( F /6 π rv ) [η]=([ MLT -2]/[ L ][ LT -1])=[ ML -1 T -1] E = hv ⇒ h =( E /v)=([ ML 2 T -2]/[ T -1])=[ ML 2 T -1] Work function has same dimension as that of energy, so [φ]=[ ML 2 T -2]

LIST I		LIST II
A	Young's Modulus (Y)	1	$[M L^{- 1} T^{- 1}]$
B	Co-efficient of Viscosity $(η)$	2	$[M L^{2} T^{- 1}]$
C	Planck's Constant (h)	3	$[M L^{- 1} T^{- 2}]$
D	Work Function $(ϕ)$	4	$[M L^{- 2} T^{- 2}]$

Q. Match List I with List II LIST I LIST II A Young's Modulus (Y) 1 [ML−1T−1] B Co-efficient of Viscosity (η) 2 [ML2T−1] C Planck's Constant (h) 3 [ML−1T−2] D Work Function (ϕ) 4 [ML−2T−2] Choose the correct answer from the options given below:

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

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

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

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

Y= Strain Stress ​=Δℓ/ℓF/A​=[L2][MLT−2]​=[ML−1T−2] F=6πηrv⇒η=6πrvF​ [η]=[L][LT−1][MLT−2]​=[ML−1T−1] E=hv⇒h=vE​=[T−1][ML2T−2]​=[ML2T−1] Work function has same dimension as that of energy, so [ϕ]=[ML2T−2]