Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Help me please, Time (T), velocity (C) and angular momentum (h) are chosen as fundamental quantities instead of mass, length and time. In terms of these, the dimensions of mass would be :

Time (T), velocity (C) and angular momentum (h) are chosen as fundamental quantities instead of mass, length and time. In terms of these, the dimensions of mass would be :

  • Option 1)

    [ M ]=[ T−1 C−2 h ]

  • Option 2)

    [ M ]=[ T−1 C2 h ]

  • Option 3)

    [ M ]=[ T−1 C−2 h−1 ]

  • Option 4)

    [ M ]=[ T C−2 h ]

     

 

Answers (1)

best_answer

Dimension of length  \left [ L \right ]= \left [ CT \right ]
Dimension\: of \: mass= \frac{\left [ Angular\: Momentum \right ]}{\left [ Velocity \right ]\left [ Length \right ]}

= \frac{\left [ h \right ]}{\left [ C \right ]\left [ CT \right ]}= \left [ C^{-2}T^{-1}h \right ]

Correct Answer is 1

And other options are incorrect

Based on Concept:

Plank's Constant (h) -

M^{1}L^{2}T^{-1}

- wherein

Joule-sec

 

 

 

 

 


Option 1)

[ M ]=[ T−1 C−2 h ]

This is the correct option.

Option 2)

[ M ]=[ T−1 C2 h ]

This is an correct option.

Option 3)

[ M ]=[ T−1 C−2 h−1 ]

This is an incorrect option.

Option 4)

[ M ]=[ T C−2 h ]

 

This is an incorrect option.

Posted by

perimeter

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2025: Hardwired to excel? Know BTech electrical engineering cut-offs at NITs
anam-khan

JEE Main 2025 chemistry needs conceptual understanding; 5 tips to score high
anam-khan

JEE Main 2025 exam city intimation slip for session 1 soon; paper pattern, exams from January 22

Latest Question