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NEET DIGITAL LIBRARY
PHXI02:UNITS AND MEASUREMENTS

367272 The speed \(v\) of ripples on the surface of water depends on surface tension \(\sigma\), density \(\rho\) and wavelength \(\lambda\). The square of speed \(v\) is proportional to

1 \(\dfrac{\sigma}{\rho \lambda}\)
2 \(\dfrac{\rho}{\sigma \lambda}\)
3 \(\dfrac{\lambda}{\sigma \rho}\)
4 \(\rho \lambda \sigma\)
AIIMS - 2007
PHXI02:UNITS AND MEASUREMENTS

367273 If force \((F)\), velocity \((V)\) and time \((T)\) are considered as fundamental physical quantity, then dimensional formula of density will be

1 \(F^{2} V^{-2} T^{6}\)
2 \(F V^{-2} T^{2}\)
3 \(F V^{4} T^{-6}\)
4 \(F V^{-4} T^{-2}\)
JEE - 2023
PHXI02:UNITS AND MEASUREMENTS

367274 Which of the following product \(e, h, \mu, G\) (where \(\mu\) is the permeability) be taken, so that the dimensions of the product are the same as that of speed of light?

1 \(h e^{-2} \mu^{-1} G^{0}\)
2 \(h^{2} e G^{0} \mu\)
3 \(h^{0} e^{2} G^{-1} \mu\)
4 \(h G e^{-2} \mu^{0}\)
PHXI02:UNITS AND MEASUREMENTS

367275 The velocity \({v}\) of water may depend on their wavelength \({\lambda}\), density of water \({\rho}\) and the acceleration due to gravity \({g}\). Which of the following relations is correct?

1 \({v^2} \propto \frac{\lambda }{{g\rho }}\)
2 \({v^2} \propto g\lambda \)
3 \({v^2} \propto \frac{{g\rho }}{\lambda }\)
4 \({v^2} \propto \frac{g}{\lambda }\)
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PHXI02:UNITS AND MEASUREMENTS

367272 The speed \(v\) of ripples on the surface of water depends on surface tension \(\sigma\), density \(\rho\) and wavelength \(\lambda\). The square of speed \(v\) is proportional to

1 \(\dfrac{\sigma}{\rho \lambda}\)
2 \(\dfrac{\rho}{\sigma \lambda}\)
3 \(\dfrac{\lambda}{\sigma \rho}\)
4 \(\rho \lambda \sigma\)
AIIMS - 2007
PHXI02:UNITS AND MEASUREMENTS

367273 If force \((F)\), velocity \((V)\) and time \((T)\) are considered as fundamental physical quantity, then dimensional formula of density will be

1 \(F^{2} V^{-2} T^{6}\)
2 \(F V^{-2} T^{2}\)
3 \(F V^{4} T^{-6}\)
4 \(F V^{-4} T^{-2}\)
JEE - 2023
PHXI02:UNITS AND MEASUREMENTS

367274 Which of the following product \(e, h, \mu, G\) (where \(\mu\) is the permeability) be taken, so that the dimensions of the product are the same as that of speed of light?

1 \(h e^{-2} \mu^{-1} G^{0}\)
2 \(h^{2} e G^{0} \mu\)
3 \(h^{0} e^{2} G^{-1} \mu\)
4 \(h G e^{-2} \mu^{0}\)
PHXI02:UNITS AND MEASUREMENTS

367275 The velocity \({v}\) of water may depend on their wavelength \({\lambda}\), density of water \({\rho}\) and the acceleration due to gravity \({g}\). Which of the following relations is correct?

1 \({v^2} \propto \frac{\lambda }{{g\rho }}\)
2 \({v^2} \propto g\lambda \)
3 \({v^2} \propto \frac{{g\rho }}{\lambda }\)
4 \({v^2} \propto \frac{g}{\lambda }\)
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PHXI02:UNITS AND MEASUREMENTS

367272 The speed \(v\) of ripples on the surface of water depends on surface tension \(\sigma\), density \(\rho\) and wavelength \(\lambda\). The square of speed \(v\) is proportional to

1 \(\dfrac{\sigma}{\rho \lambda}\)
2 \(\dfrac{\rho}{\sigma \lambda}\)
3 \(\dfrac{\lambda}{\sigma \rho}\)
4 \(\rho \lambda \sigma\)
AIIMS - 2007
PHXI02:UNITS AND MEASUREMENTS

367273 If force \((F)\), velocity \((V)\) and time \((T)\) are considered as fundamental physical quantity, then dimensional formula of density will be

1 \(F^{2} V^{-2} T^{6}\)
2 \(F V^{-2} T^{2}\)
3 \(F V^{4} T^{-6}\)
4 \(F V^{-4} T^{-2}\)
JEE - 2023
PHXI02:UNITS AND MEASUREMENTS

367274 Which of the following product \(e, h, \mu, G\) (where \(\mu\) is the permeability) be taken, so that the dimensions of the product are the same as that of speed of light?

1 \(h e^{-2} \mu^{-1} G^{0}\)
2 \(h^{2} e G^{0} \mu\)
3 \(h^{0} e^{2} G^{-1} \mu\)
4 \(h G e^{-2} \mu^{0}\)
PHXI02:UNITS AND MEASUREMENTS

367275 The velocity \({v}\) of water may depend on their wavelength \({\lambda}\), density of water \({\rho}\) and the acceleration due to gravity \({g}\). Which of the following relations is correct?

1 \({v^2} \propto \frac{\lambda }{{g\rho }}\)
2 \({v^2} \propto g\lambda \)
3 \({v^2} \propto \frac{{g\rho }}{\lambda }\)
4 \({v^2} \propto \frac{g}{\lambda }\)
NEET DIGITAL LIBRARY
PHXI02:UNITS AND MEASUREMENTS

367272 The speed \(v\) of ripples on the surface of water depends on surface tension \(\sigma\), density \(\rho\) and wavelength \(\lambda\). The square of speed \(v\) is proportional to

1 \(\dfrac{\sigma}{\rho \lambda}\)
2 \(\dfrac{\rho}{\sigma \lambda}\)
3 \(\dfrac{\lambda}{\sigma \rho}\)
4 \(\rho \lambda \sigma\)
AIIMS - 2007
PHXI02:UNITS AND MEASUREMENTS

367273 If force \((F)\), velocity \((V)\) and time \((T)\) are considered as fundamental physical quantity, then dimensional formula of density will be

1 \(F^{2} V^{-2} T^{6}\)
2 \(F V^{-2} T^{2}\)
3 \(F V^{4} T^{-6}\)
4 \(F V^{-4} T^{-2}\)
JEE - 2023
PHXI02:UNITS AND MEASUREMENTS

367274 Which of the following product \(e, h, \mu, G\) (where \(\mu\) is the permeability) be taken, so that the dimensions of the product are the same as that of speed of light?

1 \(h e^{-2} \mu^{-1} G^{0}\)
2 \(h^{2} e G^{0} \mu\)
3 \(h^{0} e^{2} G^{-1} \mu\)
4 \(h G e^{-2} \mu^{0}\)
PHXI02:UNITS AND MEASUREMENTS

367275 The velocity \({v}\) of water may depend on their wavelength \({\lambda}\), density of water \({\rho}\) and the acceleration due to gravity \({g}\). Which of the following relations is correct?

1 \({v^2} \propto \frac{\lambda }{{g\rho }}\)
2 \({v^2} \propto g\lambda \)
3 \({v^2} \propto \frac{{g\rho }}{\lambda }\)
4 \({v^2} \propto \frac{g}{\lambda }\)
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