PrepBharat

1. \[\mu_{0}\]  and \[\epsilon_{0}\]  denote the permeability and permittivity of free space, the dimensions of \[\mu_{0}\epsilon_{0}\]  are
a) \[LT^{-1}\]
b) \[L^{-2}T^{2}\]
c) \[M^{-1}L^{-3}Q^{2}T^{2}\]
d) \[M^{-1}L^{-3}I^{2}T^{2}\]

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2. The expression [\[ML^{2}T^{-2}\] ] represents
a) Pressure
b) Kinetic energy
c) Momentum
d) Power

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3. The dimensions of physical quantity X in the equation \[Force=\frac{X}{Density}\]    is given by
a) \[M^{1}L^{4}T^{-2}\]
b) \[M^{2}L^{-2}T^{-1}\]
c) \[M^{2}L^{-2}T^{-2}\]
d) \[M^{1}L^{-2}T^{-1}\]

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4. The dimensions of \[CV^{2}\] matches with the dimensions of
a) \[L^{2}I\]
b) \[L^{2}I^{2}\]
c) \[LI^{2}\]
d) \[\frac{1}{LI}\]

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5. The Martians use force (F) , acceleration (A) and time (T) as their fundamental physical quantities. The dimensions of length on Martians system are
a) \[FT^{2}\]
b) \[F^{-1}T^{2}\]
c) \[F^{-1}A^{2}T^{-1}\]
d) \[AT^{2}\]

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6. The dimension of \[\frac{1}{\sqrt{\epsilon_{0}\mu_{0}}}\]  is that of
a) Velocity
b) Time
c) Capacitance
d) Distance

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7. An athletic coach told his team that muscle times speed equals power. What dimensions does he view for muscle
a) \[MLT^{-2}\]
b) \[ML^{2}T^{-2}\]
c) \[MLT^{2}\]
d) L

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8. The foundations of dimensional analysis were laid down by
a) Gallileo
b) Newton
c) Fourier
d) Joule

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9. The dimensional formula of wave number is
a) \[M^{0}L^{0}T^{-1}\]
b) \[M^{0}L^{-1}T^{0}\]
c) \[M^{-1}L^{-1}T^{0}\]
d) \[M^{0}L^{0}T^{0}\]

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10. The dimensions of stress are equal to
a) Force
b) Pressure
c) Work
d) \[\frac{1}{Pressure}\]

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