Dimensions
PHXI02:UNITS AND MEASUREMENTS

367332 Assertion :
The given equation \(x=x_{0}+u_{0} t+\dfrac{1}{2} a t^{2}\) is dimensionally correct, where \(x\) is the distance travelled by a particle in time \(t\), initial position \(x_{0}\) initial velocity \(u_{0}\) and uniform acceleration \(a\) is along the direction of motion.
Reason :
In equation given, dimensions of right side are those 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.
PHXI02:UNITS AND MEASUREMENTS

367333 If \(P\), \(Q\) and \(R\) are physical quantities having different dimensions, which of the following combinations can never be a meaningful quantity?

1 \(\frac{{PQ}}{R}\)
2 \(\frac{{P - Q}}{R}\)
3 \(\frac{{PR - {Q^2}}}{R}\)
4 \(PQ - R\)
PHXI02:UNITS AND MEASUREMENTS

367334 The equation of a wave is given by:\(y=A \sin \omega\left(\dfrac{x}{v}-k\right)\)where \(\omega\) is the angular velocity and \(v\) is the linear velocity, then the dimensions of \(\dfrac{x}{v}-K\) is

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

367335 If \(x\) times momentum is work, then the dimensional formula of \(x\) is

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

367332 Assertion :
The given equation \(x=x_{0}+u_{0} t+\dfrac{1}{2} a t^{2}\) is dimensionally correct, where \(x\) is the distance travelled by a particle in time \(t\), initial position \(x_{0}\) initial velocity \(u_{0}\) and uniform acceleration \(a\) is along the direction of motion.
Reason :
In equation given, dimensions of right side are those 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.
PHXI02:UNITS AND MEASUREMENTS

367333 If \(P\), \(Q\) and \(R\) are physical quantities having different dimensions, which of the following combinations can never be a meaningful quantity?

1 \(\frac{{PQ}}{R}\)
2 \(\frac{{P - Q}}{R}\)
3 \(\frac{{PR - {Q^2}}}{R}\)
4 \(PQ - R\)
PHXI02:UNITS AND MEASUREMENTS

367334 The equation of a wave is given by:\(y=A \sin \omega\left(\dfrac{x}{v}-k\right)\)where \(\omega\) is the angular velocity and \(v\) is the linear velocity, then the dimensions of \(\dfrac{x}{v}-K\) is

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

367335 If \(x\) times momentum is work, then the dimensional formula of \(x\) is

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

367332 Assertion :
The given equation \(x=x_{0}+u_{0} t+\dfrac{1}{2} a t^{2}\) is dimensionally correct, where \(x\) is the distance travelled by a particle in time \(t\), initial position \(x_{0}\) initial velocity \(u_{0}\) and uniform acceleration \(a\) is along the direction of motion.
Reason :
In equation given, dimensions of right side are those 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.
PHXI02:UNITS AND MEASUREMENTS

367333 If \(P\), \(Q\) and \(R\) are physical quantities having different dimensions, which of the following combinations can never be a meaningful quantity?

1 \(\frac{{PQ}}{R}\)
2 \(\frac{{P - Q}}{R}\)
3 \(\frac{{PR - {Q^2}}}{R}\)
4 \(PQ - R\)
PHXI02:UNITS AND MEASUREMENTS

367334 The equation of a wave is given by:\(y=A \sin \omega\left(\dfrac{x}{v}-k\right)\)where \(\omega\) is the angular velocity and \(v\) is the linear velocity, then the dimensions of \(\dfrac{x}{v}-K\) is

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

367335 If \(x\) times momentum is work, then the dimensional formula of \(x\) is

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

367332 Assertion :
The given equation \(x=x_{0}+u_{0} t+\dfrac{1}{2} a t^{2}\) is dimensionally correct, where \(x\) is the distance travelled by a particle in time \(t\), initial position \(x_{0}\) initial velocity \(u_{0}\) and uniform acceleration \(a\) is along the direction of motion.
Reason :
In equation given, dimensions of right side are those 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.
PHXI02:UNITS AND MEASUREMENTS

367333 If \(P\), \(Q\) and \(R\) are physical quantities having different dimensions, which of the following combinations can never be a meaningful quantity?

1 \(\frac{{PQ}}{R}\)
2 \(\frac{{P - Q}}{R}\)
3 \(\frac{{PR - {Q^2}}}{R}\)
4 \(PQ - R\)
PHXI02:UNITS AND MEASUREMENTS

367334 The equation of a wave is given by:\(y=A \sin \omega\left(\dfrac{x}{v}-k\right)\)where \(\omega\) is the angular velocity and \(v\) is the linear velocity, then the dimensions of \(\dfrac{x}{v}-K\) is

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

367335 If \(x\) times momentum is work, then the dimensional formula of \(x\) is

1 \([{L^{ - 1}}T]\)
2 \([L{T^{ - 1}}]\)
3 \([M{L^{ - 1}}{T^{ - 1}}]\)
4 \([M{L^1}{T^1}]\)