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The dimensional formulas for what equations are important to memorize for jee ?

Asked by gurjasqwerty | 07 Apr, 2019, 08:37: PM

Expert Answer

Below is the list of some important dimensional formulae.

There is no need to separately memorize it, just try to derive the dimensional formula while solving questions.

A c c e l e r a t i o n equals v e l o c i t y divided by t i m e equals left square bracket L T to the power of negative 2 end exponent right square bracket m o m e n t u m space equals m a s s cross times v e l o c i t y equals left square bracket M L T to the power of negative 1 end exponent right square bracket M o m e n t space o f space f o r c e equals F o r c e cross times d i s tan c e equals left square bracket M L squared T to the power of negative 2 end exponent right square bracket I m p u l s e equals F o r c e cross times t i m e equals left square bracket M L T to the power of negative 1 end exponent right square bracket

s t r e s s equals space fraction numerator F o r c e over denominator A r e a end fraction equals left square bracket M L to the power of negative 1 end exponent T to the power of negative 2 end exponent right square bracket s t r a i n equals fraction numerator C h a n g e space i n space d i m e n s i o n over denominator o r i g i n a l space d i m e n s i o n end fraction equals d i m e n s i o n l e s s C o e f f i c i e n t space o f space e l a s t i c i t y equals S t r e s s divided by s t r a i n equals left square bracket M L to the power of negative 1 end exponent T to the power of negative 2 end exponent right square bracket f r e q u e n c y equals 1 divided by T equals left square bracket M to the power of 0 L to the power of 0 T to the power of negative 1 end exponent right square bracket

P r e s s u r e equals F o r c e divided by A r e a equals left square bracket M L to the power of negative 1 end exponent T to the power of negative 2 end exponent right square bracket s u r f a c e space t e n s i o n equals F o r c e divided by l e n g t h equals left square bracket M L to the power of 0 T to the power of negative 2 end exponent right square bracket V e l o c i t y space g r a d i e n t equals V e l o c i t y divided by d i s tan c e equals left square bracket M to the power of 0 L to the power of 0 T to the power of negative 1 end exponent right square bracket

W o r k equals F o r c e cross times d i s tan c e equals left square bracket M L squared T to the power of negative 2 end exponent right square bracket E n e r g y equals W o r k equals left square bracket M L squared T to the power of negative 2 end exponent right square bracket P o w e r equals w o r k divided by space t i m e equals left square bracket M L squared T to the power of negative 3 end exponent right square bracket

A r e a equals l e n g t h cross times b r e a d t h equals left square bracket M to the power of 0 L squared T to the power of 0 right square bracket V o l u m e equals L e n g t h cross times b r e a d t h cross times H e i g h t equals left square bracket M to the power of 0 L cubed T to the power of 0 right square bracket D e n s i t y equals m a s s divided by v o l u m e equals left square bracket M L to the power of negative 3 end exponent T to the power of 0 right square bracket V e l o c i t y equals D i s tan c e divided by t i m e equals left square bracket M to the power of 0 L T to the power of negative 1 end exponent right square bracket

Answered by Utkarsh Lokhande | 08 Apr, 2019, 12:12: PM

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