367597
Assertion : One radian is the angle subtended at the centre of a circle by an arc equal in the length to the radius of the circle. Reason : Radian is the unit of distance.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
One radian is the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle. A radian is not a unit of distance; it is a unit of angular measure. So, while the assertion is true, the reason is false. So correct option is (3)
PHXI02:UNITS AND MEASUREMENTS
367598
The damping force of an oscillator is directly proportional to the velocity. The unit of constant of proportionality is
1 \(kgm{s^{ - 1}}\)
2 \(kg{s^{ - 1}}\)
3 \(kgm{s^{ - 2}}\)
4 \(kg - s\)
Explanation:
Given, damping force \( \propto \) velocity or \(F \propto v\) \( \Rightarrow F = kv\) where \(k\) is the proportionality constant \( \Rightarrow \left[ k \right] = \frac{{\left[ F \right]}}{{\left[ v \right]}} = \frac{{kg.m{\text{/}}{s^2}}}{{m{\text{/}}s}} = \frac{{kg}}{s} = kg{s^{ - 1}}\)
MHTCET - 2020
PHXI02:UNITS AND MEASUREMENTS
367599
SI unit of permittivity is
1 \(C^{2} m^{2} N^{2}\)
2 \(C^{2} m^{-2} N^{-1}\)
3 \(C^{2} m^{2} N^{-1}\)
4 \(C^{-1} m^{2} N^{-2}\)
Explanation:
From Coulomb's law, \(F=\dfrac{1}{4 \pi \varepsilon_{0}} \dfrac{q_{1} q_{2}}{r^{2}}\) or \(\varepsilon_{0}=\dfrac{q_{1} q_{2}}{4 \pi F r^{2}}\) \(\therefore\) Unit of \(\varepsilon_{0}\) (permittivity) \(=\dfrac{C^{2}}{N m^{2}}=C^{2} m^{-2} N^{-1}\)
AIIMS - 2012
PHXI02:UNITS AND MEASUREMENTS
367600
Poise' is the
1 C.G.S. unit of Surface tension
2 C.G.S. unit of Viscosity
3 M.K.S. unit of Viscosity
4 M.K.S. unit of Surface energy
Explanation:
Conceptual Question
PHXI02:UNITS AND MEASUREMENTS
367601
In the following, the one which is not a physical quantity is
367597
Assertion : One radian is the angle subtended at the centre of a circle by an arc equal in the length to the radius of the circle. Reason : Radian is the unit of distance.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
One radian is the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle. A radian is not a unit of distance; it is a unit of angular measure. So, while the assertion is true, the reason is false. So correct option is (3)
PHXI02:UNITS AND MEASUREMENTS
367598
The damping force of an oscillator is directly proportional to the velocity. The unit of constant of proportionality is
1 \(kgm{s^{ - 1}}\)
2 \(kg{s^{ - 1}}\)
3 \(kgm{s^{ - 2}}\)
4 \(kg - s\)
Explanation:
Given, damping force \( \propto \) velocity or \(F \propto v\) \( \Rightarrow F = kv\) where \(k\) is the proportionality constant \( \Rightarrow \left[ k \right] = \frac{{\left[ F \right]}}{{\left[ v \right]}} = \frac{{kg.m{\text{/}}{s^2}}}{{m{\text{/}}s}} = \frac{{kg}}{s} = kg{s^{ - 1}}\)
MHTCET - 2020
PHXI02:UNITS AND MEASUREMENTS
367599
SI unit of permittivity is
1 \(C^{2} m^{2} N^{2}\)
2 \(C^{2} m^{-2} N^{-1}\)
3 \(C^{2} m^{2} N^{-1}\)
4 \(C^{-1} m^{2} N^{-2}\)
Explanation:
From Coulomb's law, \(F=\dfrac{1}{4 \pi \varepsilon_{0}} \dfrac{q_{1} q_{2}}{r^{2}}\) or \(\varepsilon_{0}=\dfrac{q_{1} q_{2}}{4 \pi F r^{2}}\) \(\therefore\) Unit of \(\varepsilon_{0}\) (permittivity) \(=\dfrac{C^{2}}{N m^{2}}=C^{2} m^{-2} N^{-1}\)
AIIMS - 2012
PHXI02:UNITS AND MEASUREMENTS
367600
Poise' is the
1 C.G.S. unit of Surface tension
2 C.G.S. unit of Viscosity
3 M.K.S. unit of Viscosity
4 M.K.S. unit of Surface energy
Explanation:
Conceptual Question
PHXI02:UNITS AND MEASUREMENTS
367601
In the following, the one which is not a physical quantity is
367597
Assertion : One radian is the angle subtended at the centre of a circle by an arc equal in the length to the radius of the circle. Reason : Radian is the unit of distance.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
One radian is the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle. A radian is not a unit of distance; it is a unit of angular measure. So, while the assertion is true, the reason is false. So correct option is (3)
PHXI02:UNITS AND MEASUREMENTS
367598
The damping force of an oscillator is directly proportional to the velocity. The unit of constant of proportionality is
1 \(kgm{s^{ - 1}}\)
2 \(kg{s^{ - 1}}\)
3 \(kgm{s^{ - 2}}\)
4 \(kg - s\)
Explanation:
Given, damping force \( \propto \) velocity or \(F \propto v\) \( \Rightarrow F = kv\) where \(k\) is the proportionality constant \( \Rightarrow \left[ k \right] = \frac{{\left[ F \right]}}{{\left[ v \right]}} = \frac{{kg.m{\text{/}}{s^2}}}{{m{\text{/}}s}} = \frac{{kg}}{s} = kg{s^{ - 1}}\)
MHTCET - 2020
PHXI02:UNITS AND MEASUREMENTS
367599
SI unit of permittivity is
1 \(C^{2} m^{2} N^{2}\)
2 \(C^{2} m^{-2} N^{-1}\)
3 \(C^{2} m^{2} N^{-1}\)
4 \(C^{-1} m^{2} N^{-2}\)
Explanation:
From Coulomb's law, \(F=\dfrac{1}{4 \pi \varepsilon_{0}} \dfrac{q_{1} q_{2}}{r^{2}}\) or \(\varepsilon_{0}=\dfrac{q_{1} q_{2}}{4 \pi F r^{2}}\) \(\therefore\) Unit of \(\varepsilon_{0}\) (permittivity) \(=\dfrac{C^{2}}{N m^{2}}=C^{2} m^{-2} N^{-1}\)
AIIMS - 2012
PHXI02:UNITS AND MEASUREMENTS
367600
Poise' is the
1 C.G.S. unit of Surface tension
2 C.G.S. unit of Viscosity
3 M.K.S. unit of Viscosity
4 M.K.S. unit of Surface energy
Explanation:
Conceptual Question
PHXI02:UNITS AND MEASUREMENTS
367601
In the following, the one which is not a physical quantity is
367597
Assertion : One radian is the angle subtended at the centre of a circle by an arc equal in the length to the radius of the circle. Reason : Radian is the unit of distance.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
One radian is the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle. A radian is not a unit of distance; it is a unit of angular measure. So, while the assertion is true, the reason is false. So correct option is (3)
PHXI02:UNITS AND MEASUREMENTS
367598
The damping force of an oscillator is directly proportional to the velocity. The unit of constant of proportionality is
1 \(kgm{s^{ - 1}}\)
2 \(kg{s^{ - 1}}\)
3 \(kgm{s^{ - 2}}\)
4 \(kg - s\)
Explanation:
Given, damping force \( \propto \) velocity or \(F \propto v\) \( \Rightarrow F = kv\) where \(k\) is the proportionality constant \( \Rightarrow \left[ k \right] = \frac{{\left[ F \right]}}{{\left[ v \right]}} = \frac{{kg.m{\text{/}}{s^2}}}{{m{\text{/}}s}} = \frac{{kg}}{s} = kg{s^{ - 1}}\)
MHTCET - 2020
PHXI02:UNITS AND MEASUREMENTS
367599
SI unit of permittivity is
1 \(C^{2} m^{2} N^{2}\)
2 \(C^{2} m^{-2} N^{-1}\)
3 \(C^{2} m^{2} N^{-1}\)
4 \(C^{-1} m^{2} N^{-2}\)
Explanation:
From Coulomb's law, \(F=\dfrac{1}{4 \pi \varepsilon_{0}} \dfrac{q_{1} q_{2}}{r^{2}}\) or \(\varepsilon_{0}=\dfrac{q_{1} q_{2}}{4 \pi F r^{2}}\) \(\therefore\) Unit of \(\varepsilon_{0}\) (permittivity) \(=\dfrac{C^{2}}{N m^{2}}=C^{2} m^{-2} N^{-1}\)
AIIMS - 2012
PHXI02:UNITS AND MEASUREMENTS
367600
Poise' is the
1 C.G.S. unit of Surface tension
2 C.G.S. unit of Viscosity
3 M.K.S. unit of Viscosity
4 M.K.S. unit of Surface energy
Explanation:
Conceptual Question
PHXI02:UNITS AND MEASUREMENTS
367601
In the following, the one which is not a physical quantity is
367597
Assertion : One radian is the angle subtended at the centre of a circle by an arc equal in the length to the radius of the circle. Reason : Radian is the unit of distance.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
One radian is the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle. A radian is not a unit of distance; it is a unit of angular measure. So, while the assertion is true, the reason is false. So correct option is (3)
PHXI02:UNITS AND MEASUREMENTS
367598
The damping force of an oscillator is directly proportional to the velocity. The unit of constant of proportionality is
1 \(kgm{s^{ - 1}}\)
2 \(kg{s^{ - 1}}\)
3 \(kgm{s^{ - 2}}\)
4 \(kg - s\)
Explanation:
Given, damping force \( \propto \) velocity or \(F \propto v\) \( \Rightarrow F = kv\) where \(k\) is the proportionality constant \( \Rightarrow \left[ k \right] = \frac{{\left[ F \right]}}{{\left[ v \right]}} = \frac{{kg.m{\text{/}}{s^2}}}{{m{\text{/}}s}} = \frac{{kg}}{s} = kg{s^{ - 1}}\)
MHTCET - 2020
PHXI02:UNITS AND MEASUREMENTS
367599
SI unit of permittivity is
1 \(C^{2} m^{2} N^{2}\)
2 \(C^{2} m^{-2} N^{-1}\)
3 \(C^{2} m^{2} N^{-1}\)
4 \(C^{-1} m^{2} N^{-2}\)
Explanation:
From Coulomb's law, \(F=\dfrac{1}{4 \pi \varepsilon_{0}} \dfrac{q_{1} q_{2}}{r^{2}}\) or \(\varepsilon_{0}=\dfrac{q_{1} q_{2}}{4 \pi F r^{2}}\) \(\therefore\) Unit of \(\varepsilon_{0}\) (permittivity) \(=\dfrac{C^{2}}{N m^{2}}=C^{2} m^{-2} N^{-1}\)
AIIMS - 2012
PHXI02:UNITS AND MEASUREMENTS
367600
Poise' is the
1 C.G.S. unit of Surface tension
2 C.G.S. unit of Viscosity
3 M.K.S. unit of Viscosity
4 M.K.S. unit of Surface energy
Explanation:
Conceptual Question
PHXI02:UNITS AND MEASUREMENTS
367601
In the following, the one which is not a physical quantity is
