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Standard XII

Physics

Dimensional Analysis

A physical qu...

Question

A physical quantity is measured and the result is expressed as $n u$ where $u$ is the unit used and $n$ is the numerical value. If the result is expressed in various units then

n \propto

size of

u

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n \propto u^{2}

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n \propto \sqrt{u}

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n \propto \frac{1}{u}

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Solution

The correct option is A $n \propto \frac{1}{u}$
We know, if the unit is increasing then the numerical value is decreasing and if the unit is decreasing then the numerical value is increasing. Hence, $n \propto \frac{1}{u}$ .

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Similar questions

A physical quantity is measured and the result is
expressed as nu where u is the unit used and n is the
numerical value. If the result is expressed in various
units then relation between n and u.

(a) n c< size of u . (b) n c< u^2

(c). n c<√u. (d) n c< 1/u

Q. A physical quantity is measured and the result is expressed as nu where u is the unit used and n is the numerical value. If the result is expressed in various units then
(a)

n \propto size of u

(b)

n \propto u^{2}

(c)

n \propto \sqrt{u}

(d)

n \propto \frac{1}{u}

Q. A physical quantity is measured and the result is expressed as much where u is the unit used and n is the numerical value. If the result is expressed in various units then
(A) n proportional size of u
(B) n proportional u square
(C) n proportional √u
(D) n proportional 1/u
Tell me how?

Q. A physical quantity is measured and its value is found to be equal to

n u

, where

n

is the numerical value and

u

is the unit. Which of the following relations is true?

Q. A: If

u_{1}

and

u_{2}

are units and

n_{1}, n_{2}

are their numerical values in two different systems then

n_{1} > n_{2} \Rightarrow u_{1} < u_{2}

.
R: The numerical value of physical quantity is inversely proportional to unit.

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A physical quantity is measured and the result is expressed as nu where u is the unit used and n is the numerical value. If the result is expressed in various units then

The correct option is A n∝1uWe know, if the unit is increasing then the numerical value is decreasing and if the unit is decreasing then the numerical value is increasing. Hence, n∝1u.

A physical quantity is measured and the result is expressed as $n u$ where $u$ is the unit used and $n$ is the numerical value. If the result is expressed in various units then

The correct option is A $n \propto \frac{1}{u}$
We know, if the unit is increasing then the numerical value is decreasing and if the unit is decreasing then the numerical value is increasing. Hence, $n \propto \frac{1}{u}$ .