PRINCIPLE OF HOMOGENEITY
« Previous Topic: UNITS AND FORM ULAE Next Topic: CONVERSION OF UNITS »
Units and Measurements

269145 \(\mu=A+\frac{B}{\lambda}+\frac{C}{\lambda^{2}}\) is dimensionally correct. The dimensions of \(\mathbf{A}, \mathbf{B}\) and \(\mathbf{C}\) respectively are \((\mu\), A, B, C are constants) where \(\lambda\) is wave length of wave

1 No dimensions,\(L, L^{2}\)
2 \(L^{2}\), No dimensions, \(L\)
3 \(L, L^{2}\), No dimensions
4 \(L\), No dimensions, \(L^{2}\)
Units and Measurements

269146 According to Bernoulli's theorem\(\frac{p}{d}+\frac{v^{2}}{2}+g h=\) constant. The dimensional formula of the constant is ( \(P\) is pressure, \(d\) is density, \(h\) is height, \(v\) is velocity and \(g\) is acceleration due to gravity) (2005 M )

1 \(\left[M^{0} L^{0} T^{0}\right]\)
2 \(\left[M^{0} L T^{0}\right]\)
3 \(\left[M^{0} L^{2} T^{-2}\right]\)
4 \(\left[M^{0} L^{2} T^{-4}\right]\)
Units and Measurements

269185 The acceleration of an object varies with time as\(a=A T^{2}+B T+C\) taking the unit of time as \(1 \mathrm{sec}\) and acceleration as \(\mathrm{ms}^{-2}\) then the units of \(A, B, C\) respectively are

1 \(m s^{-3}, m s^{-2}, m s^{-1}\)
2 \(m s^{-2}, m s^{-1}, m s\)
3 \(m s^{-1}, m s^{-2}, m s^{-3}\)
4 \(m s^{-4}, m s^{-3}, m s^{-2}\)
Units and Measurements

269186 If\(\eta=\frac{A}{B} \log (B x+C)\) is dimensionally true, then (here \(\eta\) is the coefficient of viscosity and \(x\) is the distance)

1 \(C\) isdimensionless constant
2 \(B\) has dimensions of - 1 inlength
3 The dimensional formula of\(A\) is \(\mathrm{ML}^{-2} \mathrm{~T}^{-1}\)
4 Allaretrue
Units and Measurements

269187 If the velocity\((v)\) of a body in time ' \(t\) ' is given by \(V=A T^{3}+B T^{2}+C T+D\) then the dimensions of \(C\) are

1 \(\left[L T^{-1}\right]\)
2 \(\left[L T^{-2}\right]\)
3 \(\left[L T^{-3}\right]\)
4 \(\left[L T^{-4}\right]\)
NEET DIGITAL LIBRARY
Units and Measurements

269145 \(\mu=A+\frac{B}{\lambda}+\frac{C}{\lambda^{2}}\) is dimensionally correct. The dimensions of \(\mathbf{A}, \mathbf{B}\) and \(\mathbf{C}\) respectively are \((\mu\), A, B, C are constants) where \(\lambda\) is wave length of wave

1 No dimensions,\(L, L^{2}\)
2 \(L^{2}\), No dimensions, \(L\)
3 \(L, L^{2}\), No dimensions
4 \(L\), No dimensions, \(L^{2}\)
Units and Measurements

269146 According to Bernoulli's theorem\(\frac{p}{d}+\frac{v^{2}}{2}+g h=\) constant. The dimensional formula of the constant is ( \(P\) is pressure, \(d\) is density, \(h\) is height, \(v\) is velocity and \(g\) is acceleration due to gravity) (2005 M )

1 \(\left[M^{0} L^{0} T^{0}\right]\)
2 \(\left[M^{0} L T^{0}\right]\)
3 \(\left[M^{0} L^{2} T^{-2}\right]\)
4 \(\left[M^{0} L^{2} T^{-4}\right]\)
Units and Measurements

269185 The acceleration of an object varies with time as\(a=A T^{2}+B T+C\) taking the unit of time as \(1 \mathrm{sec}\) and acceleration as \(\mathrm{ms}^{-2}\) then the units of \(A, B, C\) respectively are

1 \(m s^{-3}, m s^{-2}, m s^{-1}\)
2 \(m s^{-2}, m s^{-1}, m s\)
3 \(m s^{-1}, m s^{-2}, m s^{-3}\)
4 \(m s^{-4}, m s^{-3}, m s^{-2}\)
Units and Measurements

269186 If\(\eta=\frac{A}{B} \log (B x+C)\) is dimensionally true, then (here \(\eta\) is the coefficient of viscosity and \(x\) is the distance)

1 \(C\) isdimensionless constant
2 \(B\) has dimensions of - 1 inlength
3 The dimensional formula of\(A\) is \(\mathrm{ML}^{-2} \mathrm{~T}^{-1}\)
4 Allaretrue
Units and Measurements

269187 If the velocity\((v)\) of a body in time ' \(t\) ' is given by \(V=A T^{3}+B T^{2}+C T+D\) then the dimensions of \(C\) are

1 \(\left[L T^{-1}\right]\)
2 \(\left[L T^{-2}\right]\)
3 \(\left[L T^{-3}\right]\)
4 \(\left[L T^{-4}\right]\)
Join With Us for More Updates
Units and Measurements

269145 \(\mu=A+\frac{B}{\lambda}+\frac{C}{\lambda^{2}}\) is dimensionally correct. The dimensions of \(\mathbf{A}, \mathbf{B}\) and \(\mathbf{C}\) respectively are \((\mu\), A, B, C are constants) where \(\lambda\) is wave length of wave

1 No dimensions,\(L, L^{2}\)
2 \(L^{2}\), No dimensions, \(L\)
3 \(L, L^{2}\), No dimensions
4 \(L\), No dimensions, \(L^{2}\)
Units and Measurements

269146 According to Bernoulli's theorem\(\frac{p}{d}+\frac{v^{2}}{2}+g h=\) constant. The dimensional formula of the constant is ( \(P\) is pressure, \(d\) is density, \(h\) is height, \(v\) is velocity and \(g\) is acceleration due to gravity) (2005 M )

1 \(\left[M^{0} L^{0} T^{0}\right]\)
2 \(\left[M^{0} L T^{0}\right]\)
3 \(\left[M^{0} L^{2} T^{-2}\right]\)
4 \(\left[M^{0} L^{2} T^{-4}\right]\)
Units and Measurements

269185 The acceleration of an object varies with time as\(a=A T^{2}+B T+C\) taking the unit of time as \(1 \mathrm{sec}\) and acceleration as \(\mathrm{ms}^{-2}\) then the units of \(A, B, C\) respectively are

1 \(m s^{-3}, m s^{-2}, m s^{-1}\)
2 \(m s^{-2}, m s^{-1}, m s\)
3 \(m s^{-1}, m s^{-2}, m s^{-3}\)
4 \(m s^{-4}, m s^{-3}, m s^{-2}\)
Units and Measurements

269186 If\(\eta=\frac{A}{B} \log (B x+C)\) is dimensionally true, then (here \(\eta\) is the coefficient of viscosity and \(x\) is the distance)

1 \(C\) isdimensionless constant
2 \(B\) has dimensions of - 1 inlength
3 The dimensional formula of\(A\) is \(\mathrm{ML}^{-2} \mathrm{~T}^{-1}\)
4 Allaretrue
Units and Measurements

269187 If the velocity\((v)\) of a body in time ' \(t\) ' is given by \(V=A T^{3}+B T^{2}+C T+D\) then the dimensions of \(C\) are

1 \(\left[L T^{-1}\right]\)
2 \(\left[L T^{-2}\right]\)
3 \(\left[L T^{-3}\right]\)
4 \(\left[L T^{-4}\right]\)
For More Updates join with Us
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Units and Measurements

269145 \(\mu=A+\frac{B}{\lambda}+\frac{C}{\lambda^{2}}\) is dimensionally correct. The dimensions of \(\mathbf{A}, \mathbf{B}\) and \(\mathbf{C}\) respectively are \((\mu\), A, B, C are constants) where \(\lambda\) is wave length of wave

1 No dimensions,\(L, L^{2}\)
2 \(L^{2}\), No dimensions, \(L\)
3 \(L, L^{2}\), No dimensions
4 \(L\), No dimensions, \(L^{2}\)
Units and Measurements

269146 According to Bernoulli's theorem\(\frac{p}{d}+\frac{v^{2}}{2}+g h=\) constant. The dimensional formula of the constant is ( \(P\) is pressure, \(d\) is density, \(h\) is height, \(v\) is velocity and \(g\) is acceleration due to gravity) (2005 M )

1 \(\left[M^{0} L^{0} T^{0}\right]\)
2 \(\left[M^{0} L T^{0}\right]\)
3 \(\left[M^{0} L^{2} T^{-2}\right]\)
4 \(\left[M^{0} L^{2} T^{-4}\right]\)
Units and Measurements

269185 The acceleration of an object varies with time as\(a=A T^{2}+B T+C\) taking the unit of time as \(1 \mathrm{sec}\) and acceleration as \(\mathrm{ms}^{-2}\) then the units of \(A, B, C\) respectively are

1 \(m s^{-3}, m s^{-2}, m s^{-1}\)
2 \(m s^{-2}, m s^{-1}, m s\)
3 \(m s^{-1}, m s^{-2}, m s^{-3}\)
4 \(m s^{-4}, m s^{-3}, m s^{-2}\)
Units and Measurements

269186 If\(\eta=\frac{A}{B} \log (B x+C)\) is dimensionally true, then (here \(\eta\) is the coefficient of viscosity and \(x\) is the distance)

1 \(C\) isdimensionless constant
2 \(B\) has dimensions of - 1 inlength
3 The dimensional formula of\(A\) is \(\mathrm{ML}^{-2} \mathrm{~T}^{-1}\)
4 Allaretrue
Units and Measurements

269187 If the velocity\((v)\) of a body in time ' \(t\) ' is given by \(V=A T^{3}+B T^{2}+C T+D\) then the dimensions of \(C\) are

1 \(\left[L T^{-1}\right]\)
2 \(\left[L T^{-2}\right]\)
3 \(\left[L T^{-3}\right]\)
4 \(\left[L T^{-4}\right]\)
NEET DIGITAL LIBRARY
Units and Measurements

269145 \(\mu=A+\frac{B}{\lambda}+\frac{C}{\lambda^{2}}\) is dimensionally correct. The dimensions of \(\mathbf{A}, \mathbf{B}\) and \(\mathbf{C}\) respectively are \((\mu\), A, B, C are constants) where \(\lambda\) is wave length of wave

1 No dimensions,\(L, L^{2}\)
2 \(L^{2}\), No dimensions, \(L\)
3 \(L, L^{2}\), No dimensions
4 \(L\), No dimensions, \(L^{2}\)
Units and Measurements

269146 According to Bernoulli's theorem\(\frac{p}{d}+\frac{v^{2}}{2}+g h=\) constant. The dimensional formula of the constant is ( \(P\) is pressure, \(d\) is density, \(h\) is height, \(v\) is velocity and \(g\) is acceleration due to gravity) (2005 M )

1 \(\left[M^{0} L^{0} T^{0}\right]\)
2 \(\left[M^{0} L T^{0}\right]\)
3 \(\left[M^{0} L^{2} T^{-2}\right]\)
4 \(\left[M^{0} L^{2} T^{-4}\right]\)
Units and Measurements

269185 The acceleration of an object varies with time as\(a=A T^{2}+B T+C\) taking the unit of time as \(1 \mathrm{sec}\) and acceleration as \(\mathrm{ms}^{-2}\) then the units of \(A, B, C\) respectively are

1 \(m s^{-3}, m s^{-2}, m s^{-1}\)
2 \(m s^{-2}, m s^{-1}, m s\)
3 \(m s^{-1}, m s^{-2}, m s^{-3}\)
4 \(m s^{-4}, m s^{-3}, m s^{-2}\)
Units and Measurements

269186 If\(\eta=\frac{A}{B} \log (B x+C)\) is dimensionally true, then (here \(\eta\) is the coefficient of viscosity and \(x\) is the distance)

1 \(C\) isdimensionless constant
2 \(B\) has dimensions of - 1 inlength
3 The dimensional formula of\(A\) is \(\mathrm{ML}^{-2} \mathrm{~T}^{-1}\)
4 Allaretrue
Units and Measurements

269187 If the velocity\((v)\) of a body in time ' \(t\) ' is given by \(V=A T^{3}+B T^{2}+C T+D\) then the dimensions of \(C\) are

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