Dimensions
« First Topic in Next Topic: Errors »
PHXI02:UNITS AND MEASUREMENTS

367280 The velocity of a particle depends upon \({t}\) as \({v=A+B t+C t^{2}}\). If velocity is in \({{m} / {s}}\), the unit of \({A}\) will be

1 \({{m} / {s}}\)
2 \({{m} / {s}^{2}}\)
3 ms
4 \({{m}^{2} / {s}}\)
PHXI02:UNITS AND MEASUREMENTS

367281 Force \(F\) and density \(d\) are related as \(F=\dfrac{\alpha}{\beta+\sqrt{d}}\) then find the dimensions of \(\alpha\) :

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

367282 Find the dimensions of \(\frac{a}{b}\) in the equation \(P = \frac{{a - {t^2}}}{{bx}}\) where \(P\) is pressure, \(x\) is distance and \(t\) is time.

1 \(M{T^{ - 2}}\)
2 \(MT\)
3 \({M^{ - 1}}{T^{ - 1}}\)
4 \(M{T^2}\)
PHXI02:UNITS AND MEASUREMENTS

367283 Assertion :
The equation \(y=x+t\) cannot be true, where \(x, y\) are distance and \(t\) is time.
Reason :
Quantities with different dimensions cannot be added.

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

367284 Let Force \(F = A\sin (Ct) + B\cos (Dx)\), where \(x\) and \(t\) are displacment and time respectively,. The dimension of \(\frac{C}{D}\) are same as dimension of

1 Angular velocity
2 Velocity
3 Angular momentum
4 Velocity gradient
MHTCET - 2020
NEET DIGITAL LIBRARY
PHXI02:UNITS AND MEASUREMENTS

367280 The velocity of a particle depends upon \({t}\) as \({v=A+B t+C t^{2}}\). If velocity is in \({{m} / {s}}\), the unit of \({A}\) will be

1 \({{m} / {s}}\)
2 \({{m} / {s}^{2}}\)
3 ms
4 \({{m}^{2} / {s}}\)
PHXI02:UNITS AND MEASUREMENTS

367281 Force \(F\) and density \(d\) are related as \(F=\dfrac{\alpha}{\beta+\sqrt{d}}\) then find the dimensions of \(\alpha\) :

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

367282 Find the dimensions of \(\frac{a}{b}\) in the equation \(P = \frac{{a - {t^2}}}{{bx}}\) where \(P\) is pressure, \(x\) is distance and \(t\) is time.

1 \(M{T^{ - 2}}\)
2 \(MT\)
3 \({M^{ - 1}}{T^{ - 1}}\)
4 \(M{T^2}\)
PHXI02:UNITS AND MEASUREMENTS

367283 Assertion :
The equation \(y=x+t\) cannot be true, where \(x, y\) are distance and \(t\) is time.
Reason :
Quantities with different dimensions cannot be added.

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

367284 Let Force \(F = A\sin (Ct) + B\cos (Dx)\), where \(x\) and \(t\) are displacment and time respectively,. The dimension of \(\frac{C}{D}\) are same as dimension of

1 Angular velocity
2 Velocity
3 Angular momentum
4 Velocity gradient
MHTCET - 2020
Join With Us for More Updates
PHXI02:UNITS AND MEASUREMENTS

367280 The velocity of a particle depends upon \({t}\) as \({v=A+B t+C t^{2}}\). If velocity is in \({{m} / {s}}\), the unit of \({A}\) will be

1 \({{m} / {s}}\)
2 \({{m} / {s}^{2}}\)
3 ms
4 \({{m}^{2} / {s}}\)
PHXI02:UNITS AND MEASUREMENTS

367281 Force \(F\) and density \(d\) are related as \(F=\dfrac{\alpha}{\beta+\sqrt{d}}\) then find the dimensions of \(\alpha\) :

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

367282 Find the dimensions of \(\frac{a}{b}\) in the equation \(P = \frac{{a - {t^2}}}{{bx}}\) where \(P\) is pressure, \(x\) is distance and \(t\) is time.

1 \(M{T^{ - 2}}\)
2 \(MT\)
3 \({M^{ - 1}}{T^{ - 1}}\)
4 \(M{T^2}\)
PHXI02:UNITS AND MEASUREMENTS

367283 Assertion :
The equation \(y=x+t\) cannot be true, where \(x, y\) are distance and \(t\) is time.
Reason :
Quantities with different dimensions cannot be added.

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

367284 Let Force \(F = A\sin (Ct) + B\cos (Dx)\), where \(x\) and \(t\) are displacment and time respectively,. The dimension of \(\frac{C}{D}\) are same as dimension of

1 Angular velocity
2 Velocity
3 Angular momentum
4 Velocity gradient
MHTCET - 2020
For More Updates join with Us
PHXI02:UNITS AND MEASUREMENTS

367280 The velocity of a particle depends upon \({t}\) as \({v=A+B t+C t^{2}}\). If velocity is in \({{m} / {s}}\), the unit of \({A}\) will be

1 \({{m} / {s}}\)
2 \({{m} / {s}^{2}}\)
3 ms
4 \({{m}^{2} / {s}}\)
PHXI02:UNITS AND MEASUREMENTS

367281 Force \(F\) and density \(d\) are related as \(F=\dfrac{\alpha}{\beta+\sqrt{d}}\) then find the dimensions of \(\alpha\) :

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

367282 Find the dimensions of \(\frac{a}{b}\) in the equation \(P = \frac{{a - {t^2}}}{{bx}}\) where \(P\) is pressure, \(x\) is distance and \(t\) is time.

1 \(M{T^{ - 2}}\)
2 \(MT\)
3 \({M^{ - 1}}{T^{ - 1}}\)
4 \(M{T^2}\)
PHXI02:UNITS AND MEASUREMENTS

367283 Assertion :
The equation \(y=x+t\) cannot be true, where \(x, y\) are distance and \(t\) is time.
Reason :
Quantities with different dimensions cannot be added.

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

367284 Let Force \(F = A\sin (Ct) + B\cos (Dx)\), where \(x\) and \(t\) are displacment and time respectively,. The dimension of \(\frac{C}{D}\) are same as dimension of

1 Angular velocity
2 Velocity
3 Angular momentum
4 Velocity gradient
MHTCET - 2020
NEET DIGITAL LIBRARY
PHXI02:UNITS AND MEASUREMENTS

367280 The velocity of a particle depends upon \({t}\) as \({v=A+B t+C t^{2}}\). If velocity is in \({{m} / {s}}\), the unit of \({A}\) will be

1 \({{m} / {s}}\)
2 \({{m} / {s}^{2}}\)
3 ms
4 \({{m}^{2} / {s}}\)
PHXI02:UNITS AND MEASUREMENTS

367281 Force \(F\) and density \(d\) are related as \(F=\dfrac{\alpha}{\beta+\sqrt{d}}\) then find the dimensions of \(\alpha\) :

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

367282 Find the dimensions of \(\frac{a}{b}\) in the equation \(P = \frac{{a - {t^2}}}{{bx}}\) where \(P\) is pressure, \(x\) is distance and \(t\) is time.

1 \(M{T^{ - 2}}\)
2 \(MT\)
3 \({M^{ - 1}}{T^{ - 1}}\)
4 \(M{T^2}\)
PHXI02:UNITS AND MEASUREMENTS

367283 Assertion :
The equation \(y=x+t\) cannot be true, where \(x, y\) are distance and \(t\) is time.
Reason :
Quantities with different dimensions cannot be added.

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

367284 Let Force \(F = A\sin (Ct) + B\cos (Dx)\), where \(x\) and \(t\) are displacment and time respectively,. The dimension of \(\frac{C}{D}\) are same as dimension of

1 Angular velocity
2 Velocity
3 Angular momentum
4 Velocity gradient
MHTCET - 2020