In the formula X=3YZ^2, X and Z have the dimensions
of capacitance and magnetic induction, respectively.
What are the dimensions of Y in the MKS system?
Answers
your question->In the formula X = 3YZ2, X and Z have dimensions of capacitance and magnetic induction respectively. What are the dimensions of Y in MKSQ system ? [JEE-1995,2/100]
a) [M-3L-1 T3 Q4]
b)[M-3 L-2 T4 Q4]
c)[M-2 L-2 T4 Q4]
d)[M-3 L-2 T4 Q1]
answer : [M^-3 T^8 A^4 ]
explanation : in the formula, X = 3YZ² , X and Z have the dimensions of capacitance and magnetic induction.
we have to find dimension of Y in the mks system.
formula can be written as , Y = X/3Z²
from dimensional analysis,
or, dimension of Y = dimension of {X/3Z²}
= dimension of X/dimension of Z² [ as we know, numbers are dimensionless quantity so, 3 is dimensionless quantity.]
dimension of X = dimension of capacitance = [M-¹L-²T²Q²]
dimension of Z = dimension of magnetic induction = [MT-¹Q-¹]
so, dimension of Y = [M-¹L-²T²Q²]/[MT-¹Q-¹]²
= [M³ L-² T⁴ Q⁴ ]
hence, option (b) is correct choice.
Answer:
I think B is the answer for your question
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