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 : L/R and CR both have same dimensions.

Reason : L/R and CR both have dimension of time.

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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.

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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

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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

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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

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The temperature of a body on Kelvin scale is found to be X K. When it is measured by a Fahrenheit thermometer, it is found to be X0F. Then X is

(1) 301.25

(2) 574.25

(3) 313

(4) 40

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What are the units of K=1/4πε0

(1) C2N–1m–2

(2) Nm2C–2

(3) Nm2C2

(4) Unitless

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The SI unit of surface tension is

(1) Dyne/cm

(2) Newton/cm

(3) Newton/metre

(4) Newton-metre

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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

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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

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