ACCURACY,PRECISION,TYPESOF ERRORSAND COM BINATION OF ERRORS
Units and Measurements

269242 If the time period ' \(T\) ' of a drop under surface tension ' \(\mathbf{s}\) ' is given by \(\mathbf{T}=\sqrt{d^{a} r^{b} s^{c}}\) where \(d\) is the density, \(r\) is the radius of the drop. If \(a=1, c=-1\) then the value of \(b\) is ( \(1993 \mathrm{E}\) )

1 1
2 2
3 3
4 -1
Units and Measurements

269243 If the velocity (V), acceleration (A), and force (F)aretaken asfundamental quantities instead of mass \((M)\), length ( \(L\) ), and time ( \(T\) ), the dimensions of Young's modulus \((Y)\) would be.

1 \(F A^{2} V^{-4}\)
2 \(F A^{2} V^{-5}\)
3 \(F A^{2} V^{-3}\)
4 \(F A^{2} V^{-2}\)
Units and Measurements

269244 The time dependence of a physical quantity\(\boldsymbol{P}\) is given by \(P=P_{0} e^{-\alpha t^{2}}\), where \(\alpha\) is a constant and t is time. Then constant \(\alpha\)

1 isdimensionless
2 has dimensions of\(T^{-2}\)
3 has dimensions of\(P\)
4 has dimensions of\(T^{2}\)
Units and Measurements

269245 The value of \(\mathbf{x}\) in the formula \(Y=\frac{2 m g \mathrm{l}^{X}}{5 b t^{3} e}\) where \(m\) is the mass, ' \(g\) ' is acceleration due to gravity, \(l\) is the length, ' \(b\) ' is the breadth, ' \(t\) ' is the thickness and \(e\) is the extension and \(Y\) is Young's \(M\) odulus, is

1 3
2 2
3 1
4 4
Units and Measurements

269246 The velocity of sound in air (V) pressure (P) and density of air (d) are related as\(V \alpha p^{x} d^{y}\). The values of \(x\) and \(y\) respectively are

1 \(1, \frac{1}{2}\)
2 \(-\frac{1}{2},-\frac{1}{2}\)
3 \(\frac{1}{2}, \frac{1}{2}\)
4 \(\frac{1}{2},-\frac{1}{2}\)
Units and Measurements

269242 If the time period ' \(T\) ' of a drop under surface tension ' \(\mathbf{s}\) ' is given by \(\mathbf{T}=\sqrt{d^{a} r^{b} s^{c}}\) where \(d\) is the density, \(r\) is the radius of the drop. If \(a=1, c=-1\) then the value of \(b\) is ( \(1993 \mathrm{E}\) )

1 1
2 2
3 3
4 -1
Units and Measurements

269243 If the velocity (V), acceleration (A), and force (F)aretaken asfundamental quantities instead of mass \((M)\), length ( \(L\) ), and time ( \(T\) ), the dimensions of Young's modulus \((Y)\) would be.

1 \(F A^{2} V^{-4}\)
2 \(F A^{2} V^{-5}\)
3 \(F A^{2} V^{-3}\)
4 \(F A^{2} V^{-2}\)
Units and Measurements

269244 The time dependence of a physical quantity\(\boldsymbol{P}\) is given by \(P=P_{0} e^{-\alpha t^{2}}\), where \(\alpha\) is a constant and t is time. Then constant \(\alpha\)

1 isdimensionless
2 has dimensions of\(T^{-2}\)
3 has dimensions of\(P\)
4 has dimensions of\(T^{2}\)
Units and Measurements

269245 The value of \(\mathbf{x}\) in the formula \(Y=\frac{2 m g \mathrm{l}^{X}}{5 b t^{3} e}\) where \(m\) is the mass, ' \(g\) ' is acceleration due to gravity, \(l\) is the length, ' \(b\) ' is the breadth, ' \(t\) ' is the thickness and \(e\) is the extension and \(Y\) is Young's \(M\) odulus, is

1 3
2 2
3 1
4 4
Units and Measurements

269246 The velocity of sound in air (V) pressure (P) and density of air (d) are related as\(V \alpha p^{x} d^{y}\). The values of \(x\) and \(y\) respectively are

1 \(1, \frac{1}{2}\)
2 \(-\frac{1}{2},-\frac{1}{2}\)
3 \(\frac{1}{2}, \frac{1}{2}\)
4 \(\frac{1}{2},-\frac{1}{2}\)
Units and Measurements

269242 If the time period ' \(T\) ' of a drop under surface tension ' \(\mathbf{s}\) ' is given by \(\mathbf{T}=\sqrt{d^{a} r^{b} s^{c}}\) where \(d\) is the density, \(r\) is the radius of the drop. If \(a=1, c=-1\) then the value of \(b\) is ( \(1993 \mathrm{E}\) )

1 1
2 2
3 3
4 -1
Units and Measurements

269243 If the velocity (V), acceleration (A), and force (F)aretaken asfundamental quantities instead of mass \((M)\), length ( \(L\) ), and time ( \(T\) ), the dimensions of Young's modulus \((Y)\) would be.

1 \(F A^{2} V^{-4}\)
2 \(F A^{2} V^{-5}\)
3 \(F A^{2} V^{-3}\)
4 \(F A^{2} V^{-2}\)
Units and Measurements

269244 The time dependence of a physical quantity\(\boldsymbol{P}\) is given by \(P=P_{0} e^{-\alpha t^{2}}\), where \(\alpha\) is a constant and t is time. Then constant \(\alpha\)

1 isdimensionless
2 has dimensions of\(T^{-2}\)
3 has dimensions of\(P\)
4 has dimensions of\(T^{2}\)
Units and Measurements

269245 The value of \(\mathbf{x}\) in the formula \(Y=\frac{2 m g \mathrm{l}^{X}}{5 b t^{3} e}\) where \(m\) is the mass, ' \(g\) ' is acceleration due to gravity, \(l\) is the length, ' \(b\) ' is the breadth, ' \(t\) ' is the thickness and \(e\) is the extension and \(Y\) is Young's \(M\) odulus, is

1 3
2 2
3 1
4 4
Units and Measurements

269246 The velocity of sound in air (V) pressure (P) and density of air (d) are related as\(V \alpha p^{x} d^{y}\). The values of \(x\) and \(y\) respectively are

1 \(1, \frac{1}{2}\)
2 \(-\frac{1}{2},-\frac{1}{2}\)
3 \(\frac{1}{2}, \frac{1}{2}\)
4 \(\frac{1}{2},-\frac{1}{2}\)
Units and Measurements

269242 If the time period ' \(T\) ' of a drop under surface tension ' \(\mathbf{s}\) ' is given by \(\mathbf{T}=\sqrt{d^{a} r^{b} s^{c}}\) where \(d\) is the density, \(r\) is the radius of the drop. If \(a=1, c=-1\) then the value of \(b\) is ( \(1993 \mathrm{E}\) )

1 1
2 2
3 3
4 -1
Units and Measurements

269243 If the velocity (V), acceleration (A), and force (F)aretaken asfundamental quantities instead of mass \((M)\), length ( \(L\) ), and time ( \(T\) ), the dimensions of Young's modulus \((Y)\) would be.

1 \(F A^{2} V^{-4}\)
2 \(F A^{2} V^{-5}\)
3 \(F A^{2} V^{-3}\)
4 \(F A^{2} V^{-2}\)
Units and Measurements

269244 The time dependence of a physical quantity\(\boldsymbol{P}\) is given by \(P=P_{0} e^{-\alpha t^{2}}\), where \(\alpha\) is a constant and t is time. Then constant \(\alpha\)

1 isdimensionless
2 has dimensions of\(T^{-2}\)
3 has dimensions of\(P\)
4 has dimensions of\(T^{2}\)
Units and Measurements

269245 The value of \(\mathbf{x}\) in the formula \(Y=\frac{2 m g \mathrm{l}^{X}}{5 b t^{3} e}\) where \(m\) is the mass, ' \(g\) ' is acceleration due to gravity, \(l\) is the length, ' \(b\) ' is the breadth, ' \(t\) ' is the thickness and \(e\) is the extension and \(Y\) is Young's \(M\) odulus, is

1 3
2 2
3 1
4 4
Units and Measurements

269246 The velocity of sound in air (V) pressure (P) and density of air (d) are related as\(V \alpha p^{x} d^{y}\). The values of \(x\) and \(y\) respectively are

1 \(1, \frac{1}{2}\)
2 \(-\frac{1}{2},-\frac{1}{2}\)
3 \(\frac{1}{2}, \frac{1}{2}\)
4 \(\frac{1}{2},-\frac{1}{2}\)
Units and Measurements

269242 If the time period ' \(T\) ' of a drop under surface tension ' \(\mathbf{s}\) ' is given by \(\mathbf{T}=\sqrt{d^{a} r^{b} s^{c}}\) where \(d\) is the density, \(r\) is the radius of the drop. If \(a=1, c=-1\) then the value of \(b\) is ( \(1993 \mathrm{E}\) )

1 1
2 2
3 3
4 -1
Units and Measurements

269243 If the velocity (V), acceleration (A), and force (F)aretaken asfundamental quantities instead of mass \((M)\), length ( \(L\) ), and time ( \(T\) ), the dimensions of Young's modulus \((Y)\) would be.

1 \(F A^{2} V^{-4}\)
2 \(F A^{2} V^{-5}\)
3 \(F A^{2} V^{-3}\)
4 \(F A^{2} V^{-2}\)
Units and Measurements

269244 The time dependence of a physical quantity\(\boldsymbol{P}\) is given by \(P=P_{0} e^{-\alpha t^{2}}\), where \(\alpha\) is a constant and t is time. Then constant \(\alpha\)

1 isdimensionless
2 has dimensions of\(T^{-2}\)
3 has dimensions of\(P\)
4 has dimensions of\(T^{2}\)
Units and Measurements

269245 The value of \(\mathbf{x}\) in the formula \(Y=\frac{2 m g \mathrm{l}^{X}}{5 b t^{3} e}\) where \(m\) is the mass, ' \(g\) ' is acceleration due to gravity, \(l\) is the length, ' \(b\) ' is the breadth, ' \(t\) ' is the thickness and \(e\) is the extension and \(Y\) is Young's \(M\) odulus, is

1 3
2 2
3 1
4 4
Units and Measurements

269246 The velocity of sound in air (V) pressure (P) and density of air (d) are related as\(V \alpha p^{x} d^{y}\). The values of \(x\) and \(y\) respectively are

1 \(1, \frac{1}{2}\)
2 \(-\frac{1}{2},-\frac{1}{2}\)
3 \(\frac{1}{2}, \frac{1}{2}\)
4 \(\frac{1}{2},-\frac{1}{2}\)