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PHXI02:UNITS AND MEASUREMENTS

367250 A scientist obtains an answer that has units equivalent to those from computing the square root of the ratio of the Universal Gravitational constant to Coulomb’s constant. Which of the following choices has these same units?

1 Mass divided by energy
2 Length divided by time
3 Charge divided by mass
4 Energy divided by time
PHXI02:UNITS AND MEASUREMENTS

367251 If electronic charge \(e\), electron mass \(m\), speed of light in vacuum \(c\) and Planck's constant \(h\) are taken as fundamental quantities, the permeability of vacuum \(\mu_{0}\) can be expressssed in units of:

1 \(\left(\dfrac{h}{m e^{2}}\right)\)
2 \(\left(\dfrac{h c}{m e^{2}}\right)\)
3 \(\left(\dfrac{m c^{2}}{h e^{2}}\right)\)
4 \(\left(\dfrac{h}{c e^{2}}\right)\)
JEE - 2015
PHXI02:UNITS AND MEASUREMENTS

367252 A physical quantity of the dimensions length that can be formed out of \(c\), \(G\) and \(\frac{{{e^2}}}{{4\pi {\varepsilon _0}}}\) is [\(c\) is velocity of light, \(G\) is universal constant of gravitation and \(e\) is charge]

1 \({c^2}{\left[ {G\frac{{{e^2}}}{{4\pi {\varepsilon _0}}}} \right]^{1/2}}\)
2 \(\frac{1}{{{c^2}}}{\left[ {\frac{{{e^2}}}{{G4\pi {\varepsilon _0}}}} \right]^{1/2}}\)
3 \(\frac{1}{c}G\frac{{{e^2}}}{{4\pi {\varepsilon _0}}}\)
4 \(\frac{1}{{{c^2}}}{\left[ {G\frac{{{e^2}}}{{4\pi {\varepsilon _0}}}} \right]^{1/2}}\)
NEET - 2017
PHXI02:UNITS AND MEASUREMENTS

367253 The speed of light (\(c\)), gravitational constant (\(G\)) and Planck’s constant (\(h\)) are taken as fundamental units in a system. The dimensions of time in this new system should be

1 \({G^{ - 1/2}}{h^{1/2}}{c^{1/2}}\)
2 \({G^{1/2}}{h^{1/2}}{c^{ - 5/2}}\)
3 \({G^{1/2}}{h^{1/2}}{c^{1/2}}\)
4 \({G^{1/2}}{h^{1/2}}{c^{ - 3/2}}\)
PHXI02:UNITS AND MEASUREMENTS

367254 If force [\(F\)], acceleration [\(A\)] and time [\(T\)] are chosen as the fundamental physical quantities. Find the dimensions of energy.

1 \(\left[ F \right]\left[ A \right]\left[ {{T^2}} \right]\)
2 \(\left[ F \right]\left[ A \right]\left[ {{T^{ - 1}}} \right]\)
3 \(\left[ F \right]\left[ {{A^{ - 1}}} \right]\left[ T \right]\)
4 \(\left[ F \right]\left[ A \right]\left[ T \right]\)
NEET - 2021
NEET DIGITAL LIBRARY
PHXI02:UNITS AND MEASUREMENTS

367250 A scientist obtains an answer that has units equivalent to those from computing the square root of the ratio of the Universal Gravitational constant to Coulomb’s constant. Which of the following choices has these same units?

1 Mass divided by energy
2 Length divided by time
3 Charge divided by mass
4 Energy divided by time
PHXI02:UNITS AND MEASUREMENTS

367251 If electronic charge \(e\), electron mass \(m\), speed of light in vacuum \(c\) and Planck's constant \(h\) are taken as fundamental quantities, the permeability of vacuum \(\mu_{0}\) can be expressssed in units of:

1 \(\left(\dfrac{h}{m e^{2}}\right)\)
2 \(\left(\dfrac{h c}{m e^{2}}\right)\)
3 \(\left(\dfrac{m c^{2}}{h e^{2}}\right)\)
4 \(\left(\dfrac{h}{c e^{2}}\right)\)
JEE - 2015
PHXI02:UNITS AND MEASUREMENTS

367252 A physical quantity of the dimensions length that can be formed out of \(c\), \(G\) and \(\frac{{{e^2}}}{{4\pi {\varepsilon _0}}}\) is [\(c\) is velocity of light, \(G\) is universal constant of gravitation and \(e\) is charge]

1 \({c^2}{\left[ {G\frac{{{e^2}}}{{4\pi {\varepsilon _0}}}} \right]^{1/2}}\)
2 \(\frac{1}{{{c^2}}}{\left[ {\frac{{{e^2}}}{{G4\pi {\varepsilon _0}}}} \right]^{1/2}}\)
3 \(\frac{1}{c}G\frac{{{e^2}}}{{4\pi {\varepsilon _0}}}\)
4 \(\frac{1}{{{c^2}}}{\left[ {G\frac{{{e^2}}}{{4\pi {\varepsilon _0}}}} \right]^{1/2}}\)
NEET - 2017
PHXI02:UNITS AND MEASUREMENTS

367253 The speed of light (\(c\)), gravitational constant (\(G\)) and Planck’s constant (\(h\)) are taken as fundamental units in a system. The dimensions of time in this new system should be

1 \({G^{ - 1/2}}{h^{1/2}}{c^{1/2}}\)
2 \({G^{1/2}}{h^{1/2}}{c^{ - 5/2}}\)
3 \({G^{1/2}}{h^{1/2}}{c^{1/2}}\)
4 \({G^{1/2}}{h^{1/2}}{c^{ - 3/2}}\)
PHXI02:UNITS AND MEASUREMENTS

367254 If force [\(F\)], acceleration [\(A\)] and time [\(T\)] are chosen as the fundamental physical quantities. Find the dimensions of energy.

1 \(\left[ F \right]\left[ A \right]\left[ {{T^2}} \right]\)
2 \(\left[ F \right]\left[ A \right]\left[ {{T^{ - 1}}} \right]\)
3 \(\left[ F \right]\left[ {{A^{ - 1}}} \right]\left[ T \right]\)
4 \(\left[ F \right]\left[ A \right]\left[ T \right]\)
NEET - 2021
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PHXI02:UNITS AND MEASUREMENTS

367250 A scientist obtains an answer that has units equivalent to those from computing the square root of the ratio of the Universal Gravitational constant to Coulomb’s constant. Which of the following choices has these same units?

1 Mass divided by energy
2 Length divided by time
3 Charge divided by mass
4 Energy divided by time
PHXI02:UNITS AND MEASUREMENTS

367251 If electronic charge \(e\), electron mass \(m\), speed of light in vacuum \(c\) and Planck's constant \(h\) are taken as fundamental quantities, the permeability of vacuum \(\mu_{0}\) can be expressssed in units of:

1 \(\left(\dfrac{h}{m e^{2}}\right)\)
2 \(\left(\dfrac{h c}{m e^{2}}\right)\)
3 \(\left(\dfrac{m c^{2}}{h e^{2}}\right)\)
4 \(\left(\dfrac{h}{c e^{2}}\right)\)
JEE - 2015
PHXI02:UNITS AND MEASUREMENTS

367252 A physical quantity of the dimensions length that can be formed out of \(c\), \(G\) and \(\frac{{{e^2}}}{{4\pi {\varepsilon _0}}}\) is [\(c\) is velocity of light, \(G\) is universal constant of gravitation and \(e\) is charge]

1 \({c^2}{\left[ {G\frac{{{e^2}}}{{4\pi {\varepsilon _0}}}} \right]^{1/2}}\)
2 \(\frac{1}{{{c^2}}}{\left[ {\frac{{{e^2}}}{{G4\pi {\varepsilon _0}}}} \right]^{1/2}}\)
3 \(\frac{1}{c}G\frac{{{e^2}}}{{4\pi {\varepsilon _0}}}\)
4 \(\frac{1}{{{c^2}}}{\left[ {G\frac{{{e^2}}}{{4\pi {\varepsilon _0}}}} \right]^{1/2}}\)
NEET - 2017
PHXI02:UNITS AND MEASUREMENTS

367253 The speed of light (\(c\)), gravitational constant (\(G\)) and Planck’s constant (\(h\)) are taken as fundamental units in a system. The dimensions of time in this new system should be

1 \({G^{ - 1/2}}{h^{1/2}}{c^{1/2}}\)
2 \({G^{1/2}}{h^{1/2}}{c^{ - 5/2}}\)
3 \({G^{1/2}}{h^{1/2}}{c^{1/2}}\)
4 \({G^{1/2}}{h^{1/2}}{c^{ - 3/2}}\)
PHXI02:UNITS AND MEASUREMENTS

367254 If force [\(F\)], acceleration [\(A\)] and time [\(T\)] are chosen as the fundamental physical quantities. Find the dimensions of energy.

1 \(\left[ F \right]\left[ A \right]\left[ {{T^2}} \right]\)
2 \(\left[ F \right]\left[ A \right]\left[ {{T^{ - 1}}} \right]\)
3 \(\left[ F \right]\left[ {{A^{ - 1}}} \right]\left[ T \right]\)
4 \(\left[ F \right]\left[ A \right]\left[ T \right]\)
NEET - 2021
For More Updates join with Us
PHXI02:UNITS AND MEASUREMENTS

367250 A scientist obtains an answer that has units equivalent to those from computing the square root of the ratio of the Universal Gravitational constant to Coulomb’s constant. Which of the following choices has these same units?

1 Mass divided by energy
2 Length divided by time
3 Charge divided by mass
4 Energy divided by time
PHXI02:UNITS AND MEASUREMENTS

367251 If electronic charge \(e\), electron mass \(m\), speed of light in vacuum \(c\) and Planck's constant \(h\) are taken as fundamental quantities, the permeability of vacuum \(\mu_{0}\) can be expressssed in units of:

1 \(\left(\dfrac{h}{m e^{2}}\right)\)
2 \(\left(\dfrac{h c}{m e^{2}}\right)\)
3 \(\left(\dfrac{m c^{2}}{h e^{2}}\right)\)
4 \(\left(\dfrac{h}{c e^{2}}\right)\)
JEE - 2015
PHXI02:UNITS AND MEASUREMENTS

367252 A physical quantity of the dimensions length that can be formed out of \(c\), \(G\) and \(\frac{{{e^2}}}{{4\pi {\varepsilon _0}}}\) is [\(c\) is velocity of light, \(G\) is universal constant of gravitation and \(e\) is charge]

1 \({c^2}{\left[ {G\frac{{{e^2}}}{{4\pi {\varepsilon _0}}}} \right]^{1/2}}\)
2 \(\frac{1}{{{c^2}}}{\left[ {\frac{{{e^2}}}{{G4\pi {\varepsilon _0}}}} \right]^{1/2}}\)
3 \(\frac{1}{c}G\frac{{{e^2}}}{{4\pi {\varepsilon _0}}}\)
4 \(\frac{1}{{{c^2}}}{\left[ {G\frac{{{e^2}}}{{4\pi {\varepsilon _0}}}} \right]^{1/2}}\)
NEET - 2017
PHXI02:UNITS AND MEASUREMENTS

367253 The speed of light (\(c\)), gravitational constant (\(G\)) and Planck’s constant (\(h\)) are taken as fundamental units in a system. The dimensions of time in this new system should be

1 \({G^{ - 1/2}}{h^{1/2}}{c^{1/2}}\)
2 \({G^{1/2}}{h^{1/2}}{c^{ - 5/2}}\)
3 \({G^{1/2}}{h^{1/2}}{c^{1/2}}\)
4 \({G^{1/2}}{h^{1/2}}{c^{ - 3/2}}\)
PHXI02:UNITS AND MEASUREMENTS

367254 If force [\(F\)], acceleration [\(A\)] and time [\(T\)] are chosen as the fundamental physical quantities. Find the dimensions of energy.

1 \(\left[ F \right]\left[ A \right]\left[ {{T^2}} \right]\)
2 \(\left[ F \right]\left[ A \right]\left[ {{T^{ - 1}}} \right]\)
3 \(\left[ F \right]\left[ {{A^{ - 1}}} \right]\left[ T \right]\)
4 \(\left[ F \right]\left[ A \right]\left[ T \right]\)
NEET - 2021
NEET DIGITAL LIBRARY
PHXI02:UNITS AND MEASUREMENTS

367250 A scientist obtains an answer that has units equivalent to those from computing the square root of the ratio of the Universal Gravitational constant to Coulomb’s constant. Which of the following choices has these same units?

1 Mass divided by energy
2 Length divided by time
3 Charge divided by mass
4 Energy divided by time
PHXI02:UNITS AND MEASUREMENTS

367251 If electronic charge \(e\), electron mass \(m\), speed of light in vacuum \(c\) and Planck's constant \(h\) are taken as fundamental quantities, the permeability of vacuum \(\mu_{0}\) can be expressssed in units of:

1 \(\left(\dfrac{h}{m e^{2}}\right)\)
2 \(\left(\dfrac{h c}{m e^{2}}\right)\)
3 \(\left(\dfrac{m c^{2}}{h e^{2}}\right)\)
4 \(\left(\dfrac{h}{c e^{2}}\right)\)
JEE - 2015
PHXI02:UNITS AND MEASUREMENTS

367252 A physical quantity of the dimensions length that can be formed out of \(c\), \(G\) and \(\frac{{{e^2}}}{{4\pi {\varepsilon _0}}}\) is [\(c\) is velocity of light, \(G\) is universal constant of gravitation and \(e\) is charge]

1 \({c^2}{\left[ {G\frac{{{e^2}}}{{4\pi {\varepsilon _0}}}} \right]^{1/2}}\)
2 \(\frac{1}{{{c^2}}}{\left[ {\frac{{{e^2}}}{{G4\pi {\varepsilon _0}}}} \right]^{1/2}}\)
3 \(\frac{1}{c}G\frac{{{e^2}}}{{4\pi {\varepsilon _0}}}\)
4 \(\frac{1}{{{c^2}}}{\left[ {G\frac{{{e^2}}}{{4\pi {\varepsilon _0}}}} \right]^{1/2}}\)
NEET - 2017
PHXI02:UNITS AND MEASUREMENTS

367253 The speed of light (\(c\)), gravitational constant (\(G\)) and Planck’s constant (\(h\)) are taken as fundamental units in a system. The dimensions of time in this new system should be

1 \({G^{ - 1/2}}{h^{1/2}}{c^{1/2}}\)
2 \({G^{1/2}}{h^{1/2}}{c^{ - 5/2}}\)
3 \({G^{1/2}}{h^{1/2}}{c^{1/2}}\)
4 \({G^{1/2}}{h^{1/2}}{c^{ - 3/2}}\)
PHXI02:UNITS AND MEASUREMENTS

367254 If force [\(F\)], acceleration [\(A\)] and time [\(T\)] are chosen as the fundamental physical quantities. Find the dimensions of energy.

1 \(\left[ F \right]\left[ A \right]\left[ {{T^2}} \right]\)
2 \(\left[ F \right]\left[ A \right]\left[ {{T^{ - 1}}} \right]\)
3 \(\left[ F \right]\left[ {{A^{ - 1}}} \right]\left[ T \right]\)
4 \(\left[ F \right]\left[ A \right]\left[ T \right]\)
NEET - 2021