If energy (E), velocity (V), and time (T), are chosen as the fundamental quantities, the dimensional formula of coefficient of viscosity will be
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Class 11
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>>If energy (E), velocity (V) and time (T)
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If energy (E), velocity (V) and time (T) are chosen as the fundamental quantities, the dimensional formula of surface tension will be
Medium
NEET
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Correct option is A)
S=E
x
V
y
T
z
S=Force/length⇒[T]=[MT
−2
]
E=
2
1
mv
2
⇒[E]=[ML
2
T
−2
]
[V]=[LT
−1
]
[T]=[T]
[MT
−2
]=[E
x
V
y
t
z
]=[ML
2
T
−2
]
x
[LT
−1
]
y
[T]
z
Comparing coefficients
x=1
2x+y=0
−2x−y+z=−2
Solving above equations x=1,y=−2,z=−2
Substituting in expression of surface tension:
S=EV
−2
T
−2
Hence, correct answer is option A.
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