Dimensions
PHXI02:UNITS AND MEASUREMENTS

367263 In terms of resistance \(R\) and time \(T,\) the dimensions of ratio \(\dfrac{\mu}{\varepsilon}\) of the permeability \(\mu\) and permittivity \(\varepsilon\) is:

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

367264 If mass is written as \(m=k c^{P} G^{-1 / 2} h^{1 / 2}\) then the value of \(P\) will be: (Constants have their usual meaning with \(k\), a dimensionless constant)

1 \(-\dfrac{1}{3}\)
2 \(\dfrac{1}{2}\)
3 2
4 \(\dfrac{1}{3}\)
PHXI02:UNITS AND MEASUREMENTS

367265 Assertion :
Power of a engine depends on mass, angular speed, torque and angular momentum, then the formula of power is not derived with the help of dimensional method.
Reason :
In mechanics, if a particular quantity depends on more than three quantities, then we can not derive the formula of the quantity by the help of dimensional method.

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.
PHXI02:UNITS AND MEASUREMENTS

367266 What is dimensions of energy in terms of linear momentum \([p]\), area \([A]\) and time \([T]\) ?

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

367267 If the energy \({(E)}\), velocity \({(v)}\), and force \({(F)}\) be taken as the fundamental quantity, then the dimensions of mass will be

1 \({F v^{-2}}\)
2 \({F v^{-1}}\)
3 \({E v^{-2}}\)
4 \({E v^{2}}\)
PHXI02:UNITS AND MEASUREMENTS

367263 In terms of resistance \(R\) and time \(T,\) the dimensions of ratio \(\dfrac{\mu}{\varepsilon}\) of the permeability \(\mu\) and permittivity \(\varepsilon\) is:

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

367264 If mass is written as \(m=k c^{P} G^{-1 / 2} h^{1 / 2}\) then the value of \(P\) will be: (Constants have their usual meaning with \(k\), a dimensionless constant)

1 \(-\dfrac{1}{3}\)
2 \(\dfrac{1}{2}\)
3 2
4 \(\dfrac{1}{3}\)
PHXI02:UNITS AND MEASUREMENTS

367265 Assertion :
Power of a engine depends on mass, angular speed, torque and angular momentum, then the formula of power is not derived with the help of dimensional method.
Reason :
In mechanics, if a particular quantity depends on more than three quantities, then we can not derive the formula of the quantity by the help of dimensional method.

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.
PHXI02:UNITS AND MEASUREMENTS

367266 What is dimensions of energy in terms of linear momentum \([p]\), area \([A]\) and time \([T]\) ?

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

367267 If the energy \({(E)}\), velocity \({(v)}\), and force \({(F)}\) be taken as the fundamental quantity, then the dimensions of mass will be

1 \({F v^{-2}}\)
2 \({F v^{-1}}\)
3 \({E v^{-2}}\)
4 \({E v^{2}}\)
PHXI02:UNITS AND MEASUREMENTS

367263 In terms of resistance \(R\) and time \(T,\) the dimensions of ratio \(\dfrac{\mu}{\varepsilon}\) of the permeability \(\mu\) and permittivity \(\varepsilon\) is:

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

367264 If mass is written as \(m=k c^{P} G^{-1 / 2} h^{1 / 2}\) then the value of \(P\) will be: (Constants have their usual meaning with \(k\), a dimensionless constant)

1 \(-\dfrac{1}{3}\)
2 \(\dfrac{1}{2}\)
3 2
4 \(\dfrac{1}{3}\)
PHXI02:UNITS AND MEASUREMENTS

367265 Assertion :
Power of a engine depends on mass, angular speed, torque and angular momentum, then the formula of power is not derived with the help of dimensional method.
Reason :
In mechanics, if a particular quantity depends on more than three quantities, then we can not derive the formula of the quantity by the help of dimensional method.

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.
PHXI02:UNITS AND MEASUREMENTS

367266 What is dimensions of energy in terms of linear momentum \([p]\), area \([A]\) and time \([T]\) ?

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

367267 If the energy \({(E)}\), velocity \({(v)}\), and force \({(F)}\) be taken as the fundamental quantity, then the dimensions of mass will be

1 \({F v^{-2}}\)
2 \({F v^{-1}}\)
3 \({E v^{-2}}\)
4 \({E v^{2}}\)
PHXI02:UNITS AND MEASUREMENTS

367263 In terms of resistance \(R\) and time \(T,\) the dimensions of ratio \(\dfrac{\mu}{\varepsilon}\) of the permeability \(\mu\) and permittivity \(\varepsilon\) is:

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

367264 If mass is written as \(m=k c^{P} G^{-1 / 2} h^{1 / 2}\) then the value of \(P\) will be: (Constants have their usual meaning with \(k\), a dimensionless constant)

1 \(-\dfrac{1}{3}\)
2 \(\dfrac{1}{2}\)
3 2
4 \(\dfrac{1}{3}\)
PHXI02:UNITS AND MEASUREMENTS

367265 Assertion :
Power of a engine depends on mass, angular speed, torque and angular momentum, then the formula of power is not derived with the help of dimensional method.
Reason :
In mechanics, if a particular quantity depends on more than three quantities, then we can not derive the formula of the quantity by the help of dimensional method.

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.
PHXI02:UNITS AND MEASUREMENTS

367266 What is dimensions of energy in terms of linear momentum \([p]\), area \([A]\) and time \([T]\) ?

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

367267 If the energy \({(E)}\), velocity \({(v)}\), and force \({(F)}\) be taken as the fundamental quantity, then the dimensions of mass will be

1 \({F v^{-2}}\)
2 \({F v^{-1}}\)
3 \({E v^{-2}}\)
4 \({E v^{2}}\)
PHXI02:UNITS AND MEASUREMENTS

367263 In terms of resistance \(R\) and time \(T,\) the dimensions of ratio \(\dfrac{\mu}{\varepsilon}\) of the permeability \(\mu\) and permittivity \(\varepsilon\) is:

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

367264 If mass is written as \(m=k c^{P} G^{-1 / 2} h^{1 / 2}\) then the value of \(P\) will be: (Constants have their usual meaning with \(k\), a dimensionless constant)

1 \(-\dfrac{1}{3}\)
2 \(\dfrac{1}{2}\)
3 2
4 \(\dfrac{1}{3}\)
PHXI02:UNITS AND MEASUREMENTS

367265 Assertion :
Power of a engine depends on mass, angular speed, torque and angular momentum, then the formula of power is not derived with the help of dimensional method.
Reason :
In mechanics, if a particular quantity depends on more than three quantities, then we can not derive the formula of the quantity by the help of dimensional method.

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.
PHXI02:UNITS AND MEASUREMENTS

367266 What is dimensions of energy in terms of linear momentum \([p]\), area \([A]\) and time \([T]\) ?

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

367267 If the energy \({(E)}\), velocity \({(v)}\), and force \({(F)}\) be taken as the fundamental quantity, then the dimensions of mass will be

1 \({F v^{-2}}\)
2 \({F v^{-1}}\)
3 \({E v^{-2}}\)
4 \({E v^{2}}\)