JEE PHYSICS MCQ: UNITS & MEASUREMENTS

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Assertion: The equation

y=x+t

cannot be true, where

x, y

are distance and

t

is time.

Reason: Quantities with different dimensions cannot be added

View answer and explanation

Correct option: A

If both assertion and reason are true and reason is the correct explanation of assertion

The correct answer is A (If both assertion and reason are true and reason is the correct explanation of assertion) because dimensional homogeneity requires that only quantities with the same dimensions can be added.

More Questions from UNITS & MEASUREMENTS

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Assertion :

\sqrt{\frac{\text { Modulus of elasticity }}{\text { Density }}}

has the unit

\mathrm{ms}^{-1} \text {. }

Reason: Acceleration has the dimensions of

\frac{1}{\left(\sqrt{\varepsilon_0 \mu_0}\right) t} \text {. }

The method of dimensional analysis can be used to derive which of the following relations? Statement-I: Dimensions of constant of proportionality of constants can be derived from dimensional method
Statement-II: Numerical value of constant of proportionality can be found from experiments only The dimensions of torque are The physical quantity having the dimensions

\left[ {{\mathrm{M}^{ - 1}}{\mathrm{L}^{ - 3}}{\mathrm{A}^2}{T^3}} \right]

is A quantity X is given by

{\varepsilon _0}L\frac{{\Delta V}}{{\Delta t}},\;

, where

{\varepsilon _0}

is the permittivity of free space, L is a length,

{\Delta V}

is a potential difference and

{\Delta t}

is a time interval. The dimensional formula for X is the same as that of