dimensions of density are x in mass and y in time then x and y are a)1,-3 b)1,0 c)0,-3 d)0,1
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Given: x is the power of mass and y is the power of time in the dimensions of density
To find: Value of x and y
Explanation: The formula for density is given by mass / volume.
Now, dimensions of mass is: M L^0 T^0
Volume= (Side)^3
Dimensions of side = M^0 L T^0
Therefore, dimensions of volume= M^0 L^3 T^0
Dimensions of density= Dimensions of Mass / Dimensions of volume
= M L^0 T^0 / M^0 L^3 T^0
= M L^-3 T^0
Here, we see that in the dimensional analysis of density the power of mass is 1, time is 0 and length is -3.
Therefore, the value of x is 1 and value of y is 0.
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