The equation describing the motion of a particle along Y-axis is given by y=At^2-Bt^3.Find the dimension of B
Answers
Answer:
L T^ -3
Explanation:
Y = lenght so dimensional formula for y is L
Y= BT^3
If we replace Y with B
The equation will be like this
L / T^3
If we move the T up the answer will be L T ^-3
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Answer:
The correct answer to this question is
dimension of B = [ L T⁻³ ]
Explanation:
Units and Dimensions:
Five basic dimensions are used to express all the other physical quantities. They are
- Mass [M],
- Length [L],
- Time [T],
- Temperature [θ],
- Charge [q].
that is each physical quantity dimension is measured by the powers of basic dimensions.
Note:
- Terms on the LHS side and RHS side have the same dimensions
- if multiple terms are present on any side by means of addition or subtraction, each term has the same dimension only
given, the equation of a particle moving along Y-axis is y=At^2-Bt^3
here, the dimensions of y, A, and B are the same.
so, to find the dimensions of B we can follow this process
dimensions of (y) = dimensions of (BT³)
L = B × T³
B = L / T³
∴ B = [ L / T³ ] (or) B = [ L T⁻³ ]
hence, the dimensions of B are [ L T⁻³ ]
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