Physics and MeasurementDimensions of Physical Quantities (NEET (NTANational Eligibility cum Medical Entrance Test) Physics): Questions 7  10 of 16
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Question number: 7
» Physics and Measurement » Dimensions of Physical Quantities
Question
If the time period (T) of vibration of a liquid drop depends on surface tension (S), radius (r) of the drop and density (ρ) of the liquid, then the expression of T is
Choices
Choice (4)  Response  

a.  T = k 

b.  T = k 

c.  T = k 

d.  None of the above 

Question number: 8
» Physics and Measurement » Dimensions of Physical Quantities
Question
The frequency of vibration of string is given by v = [Fm] ^{1/2} Here P is number of segments in the string and l is the length. The dimensional formula for m will be
Choices
Choice (4)  Response  

a.  [M L ^{0 } T ^{1}] 

b.  [M L ^{1} T ^{0}] 

c.  [M ^{0} L T ^{1}] 

d.  [M ^{0 } L ^{0} T ^{0}] 

Question number: 9
» Physics and Measurement » Dimensions of Physical Quantities
Assertion (Ꭺ)
The time period of a pendulum is given by the formula, T = 2π
Reason (Ꭱ)
According to the principle of homogeneity of dimensions, only that formula is correct in which the dimensions of L. H. S. is equal to dimensions of R. H. S.
Choices
Choice (4)  Response  

a.  Ꭺ is true but Ꭱ is false 

b.  Both Ꭺ and Ꭱ are true and Ꭱ is the correct explanation of Ꭺ 

c.  Both Ꭺ and Ꭱ are true but Ꭱ is NOT the correct explanation of Ꭺ 

d.  Ꭺ is false but Ꭱ is true 

Question number: 10
» Physics and Measurement » Dimensions of Physical Quantities
Question
P represents radiation pressure, c represents speed of light and S represents radiation energy striking unit area per sec. The nonzero integers x, y, z such that P ^{x} S ^{y} c ^{z} is dimensionless are
Choices
Choice (4)  Response  

a.  x = 1 

b.  y = 1 

c.  z = 1 

d.  x=1 
