Choose any one of the following four responses :

(1) If both assertion and reason are true and the reason is the correct explanation of the assertion.

(2) If both assertion and reason are true but reason is not the correct explanation of the assertion.

(3) If assertion is true but reason is false.

(4) If the assertion and reason both are false.

Assertion : The quantity (1/μ0ε0) is dimensionally equal to velocity and numerically equal to velocity of light.

Reason : μ0 is permeability of free space and ε0 is the permittivity of free space.

Subtopic:  Dimensions |
 65%
From NCERT
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The surface tension of a liquid is 70 dyne/cm. In MKS system its value is 

(1) 70 N/m

(2) 7 × 10–2 N/m

(3) 7 × 103 N/m

(4) 7 × 102 N/m

Subtopic:  Dimensions |
 71%
From NCERT
PMT - 1973
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The SI unit of universal gas constant (R) is

(1) Watt K–1 mol–1

(2) Newton K–1 mol–1

(3) Joule K–1 mol–1

(4) Erg K–1 mol–1

Subtopic:  Dimensions |
 78%
From NCERT
PMT - 1987
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The unit of permittivity of free space ε0 is

(1) Coulomb/Newton-metre

(2) Newton-metre2/Coulomb2

(3) Coulomb2/(Newton-metre)2

(4) Coulomb2/Newton-metre2

Subtopic:  Dimensions |
 60%
From NCERT
PMT - 2003
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What are the units of K=1/4πε0

(1) C2N–1m–2

(2) Nm2C–2

(3) Nm2C2

(4) Unitless

Subtopic:  Dimensions |
 70%
From NCERT
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The SI unit of surface tension is

(1) Dyne/cm

(2) Newton/cm

(3) Newton/metre

(4) Newton-metre

Subtopic:  Dimensions |
 83%
From NCERT
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E, m, l and G denote energy, mass, angular momentum and gravitational constant respectively, then the dimension of El2m5G2 are

(1) Angle

(2) Length

(3) Mass

(4) Time

Subtopic:  Dimensions |
 57%
From NCERT
AIIMS - 1985
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From the equation tanθ=rgv2, one can obtain the angle of banking θ for a cyclist taking a curve (the symbols have their usual meanings). Then say, it is

(1) Both dimensionally and numerically correct

(2) Neither numerically nor dimensionally correct

(3) Dimensionally correct only

(4) Numerically correct only

Subtopic:  Dimensions |
From NCERT
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A dimensionally consistent relation for the volume V of a liquid of coefficient of viscosity η flowing per second through a tube of radius r and length l and having a pressure difference p across its end, is

(1) V=πpr48ηl

(2) V=πηl8pr4

(3) V=8pηlπr4

(4) V=πpη8lr4

Subtopic:  Dimensions |
 67%
From NCERT
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The velocity v (in cm/sec) of a particle is given in terms of time t (in sec) by the relation v=at+bt+c; the dimensions of a, b and c are

(1) a=L2,b=T,c=LT2

(2) a=LT2,b=LT,c=L

(3) a=LT2,b=L,c=T

(4) a=L,b=LT,c=T2

Subtopic:  Dimensions |
 83%
From NCERT
PMT - 1990
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