Dimensions
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PHXI02:UNITS AND MEASUREMENTS

367276 If the velocity of light \(c\), universal gravitational constant \(G\) and Planck's constant \(h\) are chosen as fundamental quantities. The dimensions of mass in the new system is

1 \(\left[h^{1} c^{1} G^{-1}\right]\)
2 \(\left[h^{-1 / 2} c^{1 / 2} G^{1 / 2}\right]\)
3 \(\left[h^{1 / 2} c^{1 / 2} G^{-1 / 2}\right]\)
4 \(\left[h^{1 / 2} c^{-1 / 2} G^{1}\right]\)
JEE - 2023
PHXI02:UNITS AND MEASUREMENTS

367277 Time \((T),\) velocity \((C)\) and angular momentum \((h)\) are chosen as fundamental quantities instead of mass, length and time. In terms of these, the dimensions of mass would be

1 \([M]=\left[T C^{-2} h\right]\)
2 \([M]=\left[T^{-1} C^{-2} h\right]\)
3 \([M]=\left[T^{-1} C^{2} h\right]\)
4 \([M]=\left[T^{-1} C^{-2} h^{-1}\right]\)
JEE - 2017
PHXI02:UNITS AND MEASUREMENTS

367278 If \(y=a \sin \theta\), then

1 the unit of \(y\) is same as \(a\)
2 the unit of \(\theta\) is steradian
3 \(\theta\) is unitless
4 None of the above
PHXI02:UNITS AND MEASUREMENTS

367279 Given that force \({(F)}\) is given by \({F=P t^{-1}+Q t}\). Here \({t}\) is time. The unit of \({P}\) is same as that of

1 Acceleration
2 Momentum
3 Velocity
4 Displacement
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PHXI02:UNITS AND MEASUREMENTS

367276 If the velocity of light \(c\), universal gravitational constant \(G\) and Planck's constant \(h\) are chosen as fundamental quantities. The dimensions of mass in the new system is

1 \(\left[h^{1} c^{1} G^{-1}\right]\)
2 \(\left[h^{-1 / 2} c^{1 / 2} G^{1 / 2}\right]\)
3 \(\left[h^{1 / 2} c^{1 / 2} G^{-1 / 2}\right]\)
4 \(\left[h^{1 / 2} c^{-1 / 2} G^{1}\right]\)
JEE - 2023
PHXI02:UNITS AND MEASUREMENTS

367277 Time \((T),\) velocity \((C)\) and angular momentum \((h)\) are chosen as fundamental quantities instead of mass, length and time. In terms of these, the dimensions of mass would be

1 \([M]=\left[T C^{-2} h\right]\)
2 \([M]=\left[T^{-1} C^{-2} h\right]\)
3 \([M]=\left[T^{-1} C^{2} h\right]\)
4 \([M]=\left[T^{-1} C^{-2} h^{-1}\right]\)
JEE - 2017
PHXI02:UNITS AND MEASUREMENTS

367278 If \(y=a \sin \theta\), then

1 the unit of \(y\) is same as \(a\)
2 the unit of \(\theta\) is steradian
3 \(\theta\) is unitless
4 None of the above
PHXI02:UNITS AND MEASUREMENTS

367279 Given that force \({(F)}\) is given by \({F=P t^{-1}+Q t}\). Here \({t}\) is time. The unit of \({P}\) is same as that of

1 Acceleration
2 Momentum
3 Velocity
4 Displacement
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PHXI02:UNITS AND MEASUREMENTS

367276 If the velocity of light \(c\), universal gravitational constant \(G\) and Planck's constant \(h\) are chosen as fundamental quantities. The dimensions of mass in the new system is

1 \(\left[h^{1} c^{1} G^{-1}\right]\)
2 \(\left[h^{-1 / 2} c^{1 / 2} G^{1 / 2}\right]\)
3 \(\left[h^{1 / 2} c^{1 / 2} G^{-1 / 2}\right]\)
4 \(\left[h^{1 / 2} c^{-1 / 2} G^{1}\right]\)
JEE - 2023
PHXI02:UNITS AND MEASUREMENTS

367277 Time \((T),\) velocity \((C)\) and angular momentum \((h)\) are chosen as fundamental quantities instead of mass, length and time. In terms of these, the dimensions of mass would be

1 \([M]=\left[T C^{-2} h\right]\)
2 \([M]=\left[T^{-1} C^{-2} h\right]\)
3 \([M]=\left[T^{-1} C^{2} h\right]\)
4 \([M]=\left[T^{-1} C^{-2} h^{-1}\right]\)
JEE - 2017
PHXI02:UNITS AND MEASUREMENTS

367278 If \(y=a \sin \theta\), then

1 the unit of \(y\) is same as \(a\)
2 the unit of \(\theta\) is steradian
3 \(\theta\) is unitless
4 None of the above
PHXI02:UNITS AND MEASUREMENTS

367279 Given that force \({(F)}\) is given by \({F=P t^{-1}+Q t}\). Here \({t}\) is time. The unit of \({P}\) is same as that of

1 Acceleration
2 Momentum
3 Velocity
4 Displacement
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PHXI02:UNITS AND MEASUREMENTS

367276 If the velocity of light \(c\), universal gravitational constant \(G\) and Planck's constant \(h\) are chosen as fundamental quantities. The dimensions of mass in the new system is

1 \(\left[h^{1} c^{1} G^{-1}\right]\)
2 \(\left[h^{-1 / 2} c^{1 / 2} G^{1 / 2}\right]\)
3 \(\left[h^{1 / 2} c^{1 / 2} G^{-1 / 2}\right]\)
4 \(\left[h^{1 / 2} c^{-1 / 2} G^{1}\right]\)
JEE - 2023
PHXI02:UNITS AND MEASUREMENTS

367277 Time \((T),\) velocity \((C)\) and angular momentum \((h)\) are chosen as fundamental quantities instead of mass, length and time. In terms of these, the dimensions of mass would be

1 \([M]=\left[T C^{-2} h\right]\)
2 \([M]=\left[T^{-1} C^{-2} h\right]\)
3 \([M]=\left[T^{-1} C^{2} h\right]\)
4 \([M]=\left[T^{-1} C^{-2} h^{-1}\right]\)
JEE - 2017
PHXI02:UNITS AND MEASUREMENTS

367278 If \(y=a \sin \theta\), then

1 the unit of \(y\) is same as \(a\)
2 the unit of \(\theta\) is steradian
3 \(\theta\) is unitless
4 None of the above
PHXI02:UNITS AND MEASUREMENTS

367279 Given that force \({(F)}\) is given by \({F=P t^{-1}+Q t}\). Here \({t}\) is time. The unit of \({P}\) is same as that of

1 Acceleration
2 Momentum
3 Velocity
4 Displacement
For More Updates join with Us
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here