269215
Dimensional analysis of the equation \((\text { Velocity })^{x}=(\text { Pressure difference })^{\frac{3}{2}} .(\text { density })^{\frac{-3}{2}}\) gives the value of \(x\) as:
1 1
2 2
3 3
4 -3
Explanation:
Substitutedimensionformulæ
Units and Measurements
269216
For the equation \(F=A^{a} v^{b} d^{c}\) where \(F\) is force, A is area, \(v\) is velocity and \(\boldsymbol{d}\) is density, with the dimensional analysis gives the following values for the exponents.
\((1985 \mathrm{E})\)
1 \(a=1, b=2, c=1\)
2 \(a=2, b=1, c=1\)
3 \(a=1, b=1, c=2\)
4 \(a=0, b=1, c=1\)
Explanation:
\(\mathrm{F}=A^{a} v^{b} d^{c} ; M L T^{-2}=\left(L^{2}\right)^{a}\left(L T^{-1}\right)^{b}\left(M L^{-3}\right)^{c}\) comparing the powerson both sides
Units and Measurements
269217
The length of pendulum is measured as\(1.01 \mathrm{~m}\) and time for 30 oscillations is measured as one minute 3 seconds. \(E\) rror in length is 0.01 \(m\) and error in time is 3 secs. The percentage error in the measurement of acceleration due to gravity is.
1 1
2 5
3 10
4 15
( \(\mathbf{\text { E }} \mathrm{ng}\) - 2012)
269218
The dimensional formula of \(\frac{1}{2} \mu_{0} H^{2}\left(\mu_{0}\right.\)-permeability of freespace and \(\mathrm{H}\)-magnetic field intensity) is: ( \(\mathbf{n g}\) - 2011)
1 \(M L T^{-1}\)
2 \(M L^{2} T^{-2}\)
3 \(M L^{-1} T^{-2}\)
4 \(M L^{2} T^{-1}\)
Explanation:
Substitutedimensional formula of \(\mu_{0}\) and \(\mathrm{H}\)
269215
Dimensional analysis of the equation \((\text { Velocity })^{x}=(\text { Pressure difference })^{\frac{3}{2}} .(\text { density })^{\frac{-3}{2}}\) gives the value of \(x\) as:
1 1
2 2
3 3
4 -3
Explanation:
Substitutedimensionformulæ
Units and Measurements
269216
For the equation \(F=A^{a} v^{b} d^{c}\) where \(F\) is force, A is area, \(v\) is velocity and \(\boldsymbol{d}\) is density, with the dimensional analysis gives the following values for the exponents.
\((1985 \mathrm{E})\)
1 \(a=1, b=2, c=1\)
2 \(a=2, b=1, c=1\)
3 \(a=1, b=1, c=2\)
4 \(a=0, b=1, c=1\)
Explanation:
\(\mathrm{F}=A^{a} v^{b} d^{c} ; M L T^{-2}=\left(L^{2}\right)^{a}\left(L T^{-1}\right)^{b}\left(M L^{-3}\right)^{c}\) comparing the powerson both sides
Units and Measurements
269217
The length of pendulum is measured as\(1.01 \mathrm{~m}\) and time for 30 oscillations is measured as one minute 3 seconds. \(E\) rror in length is 0.01 \(m\) and error in time is 3 secs. The percentage error in the measurement of acceleration due to gravity is.
1 1
2 5
3 10
4 15
( \(\mathbf{\text { E }} \mathrm{ng}\) - 2012)
269218
The dimensional formula of \(\frac{1}{2} \mu_{0} H^{2}\left(\mu_{0}\right.\)-permeability of freespace and \(\mathrm{H}\)-magnetic field intensity) is: ( \(\mathbf{n g}\) - 2011)
1 \(M L T^{-1}\)
2 \(M L^{2} T^{-2}\)
3 \(M L^{-1} T^{-2}\)
4 \(M L^{2} T^{-1}\)
Explanation:
Substitutedimensional formula of \(\mu_{0}\) and \(\mathrm{H}\)
269215
Dimensional analysis of the equation \((\text { Velocity })^{x}=(\text { Pressure difference })^{\frac{3}{2}} .(\text { density })^{\frac{-3}{2}}\) gives the value of \(x\) as:
1 1
2 2
3 3
4 -3
Explanation:
Substitutedimensionformulæ
Units and Measurements
269216
For the equation \(F=A^{a} v^{b} d^{c}\) where \(F\) is force, A is area, \(v\) is velocity and \(\boldsymbol{d}\) is density, with the dimensional analysis gives the following values for the exponents.
\((1985 \mathrm{E})\)
1 \(a=1, b=2, c=1\)
2 \(a=2, b=1, c=1\)
3 \(a=1, b=1, c=2\)
4 \(a=0, b=1, c=1\)
Explanation:
\(\mathrm{F}=A^{a} v^{b} d^{c} ; M L T^{-2}=\left(L^{2}\right)^{a}\left(L T^{-1}\right)^{b}\left(M L^{-3}\right)^{c}\) comparing the powerson both sides
Units and Measurements
269217
The length of pendulum is measured as\(1.01 \mathrm{~m}\) and time for 30 oscillations is measured as one minute 3 seconds. \(E\) rror in length is 0.01 \(m\) and error in time is 3 secs. The percentage error in the measurement of acceleration due to gravity is.
1 1
2 5
3 10
4 15
( \(\mathbf{\text { E }} \mathrm{ng}\) - 2012)
269218
The dimensional formula of \(\frac{1}{2} \mu_{0} H^{2}\left(\mu_{0}\right.\)-permeability of freespace and \(\mathrm{H}\)-magnetic field intensity) is: ( \(\mathbf{n g}\) - 2011)
1 \(M L T^{-1}\)
2 \(M L^{2} T^{-2}\)
3 \(M L^{-1} T^{-2}\)
4 \(M L^{2} T^{-1}\)
Explanation:
Substitutedimensional formula of \(\mu_{0}\) and \(\mathrm{H}\)
NEET Test Series from KOTA - 10 Papers In MS WORD
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Units and Measurements
269215
Dimensional analysis of the equation \((\text { Velocity })^{x}=(\text { Pressure difference })^{\frac{3}{2}} .(\text { density })^{\frac{-3}{2}}\) gives the value of \(x\) as:
1 1
2 2
3 3
4 -3
Explanation:
Substitutedimensionformulæ
Units and Measurements
269216
For the equation \(F=A^{a} v^{b} d^{c}\) where \(F\) is force, A is area, \(v\) is velocity and \(\boldsymbol{d}\) is density, with the dimensional analysis gives the following values for the exponents.
\((1985 \mathrm{E})\)
1 \(a=1, b=2, c=1\)
2 \(a=2, b=1, c=1\)
3 \(a=1, b=1, c=2\)
4 \(a=0, b=1, c=1\)
Explanation:
\(\mathrm{F}=A^{a} v^{b} d^{c} ; M L T^{-2}=\left(L^{2}\right)^{a}\left(L T^{-1}\right)^{b}\left(M L^{-3}\right)^{c}\) comparing the powerson both sides
Units and Measurements
269217
The length of pendulum is measured as\(1.01 \mathrm{~m}\) and time for 30 oscillations is measured as one minute 3 seconds. \(E\) rror in length is 0.01 \(m\) and error in time is 3 secs. The percentage error in the measurement of acceleration due to gravity is.
1 1
2 5
3 10
4 15
( \(\mathbf{\text { E }} \mathrm{ng}\) - 2012)
269218
The dimensional formula of \(\frac{1}{2} \mu_{0} H^{2}\left(\mu_{0}\right.\)-permeability of freespace and \(\mathrm{H}\)-magnetic field intensity) is: ( \(\mathbf{n g}\) - 2011)
1 \(M L T^{-1}\)
2 \(M L^{2} T^{-2}\)
3 \(M L^{-1} T^{-2}\)
4 \(M L^{2} T^{-1}\)
Explanation:
Substitutedimensional formula of \(\mu_{0}\) and \(\mathrm{H}\)
