Explanation
$$[X]=[(velocity)^{2}Density]$$
$$=[(L^{2}T^{-2})ML^{-3}]=[ML^{-1}T^{-2}]$$
Magnetic moment of a coil carrying current is,
$$M = I.A$$
[A is area of cross section and i is current]
Dimension of $$M = AL^{2}$$
Tension is a force and surface tension is force per unit area hence their dimensions are not same.
Light year has the dimensions of distance and time period is time.
$$E = hv$$, h is Planck's constant
$$\left [h\right ] = \dfrac {\left [E\right ]}{\left [v\right ]} = \dfrac {ML^{2}T^{-2}}{T^{-1}} = ML^{2} T^{-1}$$
Students A,B and C measure the diameter of a copper ball using the same screw gauge. A takes 5 readings, B takes 9 readings and C takes 8 readings. The measured value will be most accurate for
The relationship between a star's distance and its parallax angle:
$$d=\dfrac{1}{p}$$
The distance $$d$$ is measured in parsecs and the parallax angle $$p$$ is measured in arc seconds.
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