IIT JEE , AIEEE Forum - Physics , General

siddhanthsharma

Choss the correct statement(s)-
a. All quant. may be represented dimensionally in terms of base quant.
b. A base quantity cannot be represented dimensionally in terms of the rest of base quant.
c. The dimension of a base quant. in other base quant. is always 0
d. The dimension of derived quant. is never 0 in any base quantity

and y

aditya_arora04

Hello siddhanth

The answers are a), b)

REASON :-

1. a) is true eg: velocity can be expressed as LT^-1 where base quantities are

L and T

2. b) is because that is why quantities have been named as basic because

they cannot be derived from other basic quantities

3. c), d) is not true as there is no relation between two basic quantities.

You can never denote a basic quantity in terms of another basic quantity.

mudit_d_best

i agree with aditya but not completely.

the option 'a','b' and 'c' should be correct

abhi_srivastava

i think that all of the above options are correct.

mudit_d_best

abhi why should (d) be correct?

for eg. take velocity it is M⁰L¹T^-1

aditya_arora04

Hi mudit,

I think you are right, c) option may be correct.

angelfromhell

a),b) and c) are correct...
any quantity can b represented dimensionally.
one cannot represent a base quantity in terms of any other...that is why they r made base quantities.
since the base quantity cant be represented by any other quantity,its dimension will b 0 wid respect to the other quantities.:)

v_gurucharan

surely, a,b,c are correct.

kghedriu

SIMPLE, just as we r familiar with the 3-dimensional system,,, we can assume the system of 'n' base quantities as a 'n'-dimensional system consisting of 'n'axes,which represent n base quantities . They are clearly independent by def. Now, a derived quantity is a point in space and by plotting their perpendiculars, we can clearly say that all (a,b,c) are trivial. NOTE: The existance of 'n' dimensional system was explained by EUCLID centuries ago.(d) cant be correct if the quantity lies on one of the axes. kghedriu

priyatamau

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sabnisneil

dont u guys think its obvious tht a b c are ryt
and d iis also ryt..derived quantity is basicaly derived from base qualntities so it can not hv dimensions 0 in the base quantities....

jino_henry14

b,c are the right options

1. a option is wrong because it says"""All""" quant. may be represented dimensionally
but relative density,strain are dimensionless
2.b is write because dimensional formula is written only in terms of base quantities
and a base qty then obviously cannot be written in terms of other base quantities

3.c is also correct..it has the same explanation as "b"
4.The dimension of derived quantity can be 0in some base quantities eg frequency,acceleration

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