FST 5
TEST SERIES (PHYSICS FST)

266609 A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to \(\mathrm{v}(\mathrm{x})=\beta \mathrm{x}^{-2 n}\), where \(\beta\) and n are constants and x is the position of the particle. The acceleration of the particle as a function of \(x\) is given by:

1 \(-2 n \beta^2 x^{-2 n-1}\)
2 \(-2 n \beta^2 x^{-4 n-1}\)
3 \(-2 \beta^2 x^{-2 n+1}\)
4 \(-2 \beta^2 x^{-4 n+1}\)
TEST SERIES (PHYSICS FST)

266610 A particle starts from origin at \(t=0\) with a velocity \(5.0 \mathrm{i} \mathrm{ms}^{-1}\) and moves in XY -plane under action of force which produces a constant acceleration of \((3.0 \hat{i}+2.0 \hat{j}) \mathrm{ms}^{-2}\). What is the y-coordinate of the particle at the instant its \(x\)-coordinate is 4 m :

1 36 m
2 \(4 / 9 \mathrm{~m}\)
3 39 m
4 \(2 / 3 \mathrm{~m}\)
TEST SERIES (PHYSICS FST)

266611 A body is projected at \(\mathbf{t}=0\) with a velocity \(10 \mathrm{~ms}^{-1}\) at an angle of \(60^{\circ}\) with the horizontal. The radius of curvature of its trajectory at \(t=1 \mathrm{~s}\) is R . Neglecting air resistance and taking acceleration due to gravity \(g=10 \mathrm{~m} / \mathrm{s}^2\), the value of R :

1 2.5 m
2 10.3 m
3 2.8 m
4 5.1 m
TEST SERIES (PHYSICS FST)

266613 If two concentric sphere of radius \(\mathrm{R}_1\) and \(\mathrm{R}_2\) having surface charge density +o and -20. If net charge is zero. Then ratio of \(\frac{R_1}{R_2}\) will be:

1 \(\frac{\sqrt{2}}{1}\)
2 \(\frac{1}{2 \sqrt{2}}\)
3 \(\frac{1}{4}\)
4 \(4: 1\)
TEST SERIES (PHYSICS FST)

266609 A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to \(\mathrm{v}(\mathrm{x})=\beta \mathrm{x}^{-2 n}\), where \(\beta\) and n are constants and x is the position of the particle. The acceleration of the particle as a function of \(x\) is given by:

1 \(-2 n \beta^2 x^{-2 n-1}\)
2 \(-2 n \beta^2 x^{-4 n-1}\)
3 \(-2 \beta^2 x^{-2 n+1}\)
4 \(-2 \beta^2 x^{-4 n+1}\)
TEST SERIES (PHYSICS FST)

266610 A particle starts from origin at \(t=0\) with a velocity \(5.0 \mathrm{i} \mathrm{ms}^{-1}\) and moves in XY -plane under action of force which produces a constant acceleration of \((3.0 \hat{i}+2.0 \hat{j}) \mathrm{ms}^{-2}\). What is the y-coordinate of the particle at the instant its \(x\)-coordinate is 4 m :

1 36 m
2 \(4 / 9 \mathrm{~m}\)
3 39 m
4 \(2 / 3 \mathrm{~m}\)
TEST SERIES (PHYSICS FST)

266611 A body is projected at \(\mathbf{t}=0\) with a velocity \(10 \mathrm{~ms}^{-1}\) at an angle of \(60^{\circ}\) with the horizontal. The radius of curvature of its trajectory at \(t=1 \mathrm{~s}\) is R . Neglecting air resistance and taking acceleration due to gravity \(g=10 \mathrm{~m} / \mathrm{s}^2\), the value of R :

1 2.5 m
2 10.3 m
3 2.8 m
4 5.1 m
TEST SERIES (PHYSICS FST)

266613 If two concentric sphere of radius \(\mathrm{R}_1\) and \(\mathrm{R}_2\) having surface charge density +o and -20. If net charge is zero. Then ratio of \(\frac{R_1}{R_2}\) will be:

1 \(\frac{\sqrt{2}}{1}\)
2 \(\frac{1}{2 \sqrt{2}}\)
3 \(\frac{1}{4}\)
4 \(4: 1\)
TEST SERIES (PHYSICS FST)

266609 A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to \(\mathrm{v}(\mathrm{x})=\beta \mathrm{x}^{-2 n}\), where \(\beta\) and n are constants and x is the position of the particle. The acceleration of the particle as a function of \(x\) is given by:

1 \(-2 n \beta^2 x^{-2 n-1}\)
2 \(-2 n \beta^2 x^{-4 n-1}\)
3 \(-2 \beta^2 x^{-2 n+1}\)
4 \(-2 \beta^2 x^{-4 n+1}\)
TEST SERIES (PHYSICS FST)

266610 A particle starts from origin at \(t=0\) with a velocity \(5.0 \mathrm{i} \mathrm{ms}^{-1}\) and moves in XY -plane under action of force which produces a constant acceleration of \((3.0 \hat{i}+2.0 \hat{j}) \mathrm{ms}^{-2}\). What is the y-coordinate of the particle at the instant its \(x\)-coordinate is 4 m :

1 36 m
2 \(4 / 9 \mathrm{~m}\)
3 39 m
4 \(2 / 3 \mathrm{~m}\)
TEST SERIES (PHYSICS FST)

266611 A body is projected at \(\mathbf{t}=0\) with a velocity \(10 \mathrm{~ms}^{-1}\) at an angle of \(60^{\circ}\) with the horizontal. The radius of curvature of its trajectory at \(t=1 \mathrm{~s}\) is R . Neglecting air resistance and taking acceleration due to gravity \(g=10 \mathrm{~m} / \mathrm{s}^2\), the value of R :

1 2.5 m
2 10.3 m
3 2.8 m
4 5.1 m
TEST SERIES (PHYSICS FST)

266613 If two concentric sphere of radius \(\mathrm{R}_1\) and \(\mathrm{R}_2\) having surface charge density +o and -20. If net charge is zero. Then ratio of \(\frac{R_1}{R_2}\) will be:

1 \(\frac{\sqrt{2}}{1}\)
2 \(\frac{1}{2 \sqrt{2}}\)
3 \(\frac{1}{4}\)
4 \(4: 1\)
TEST SERIES (PHYSICS FST)

266609 A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to \(\mathrm{v}(\mathrm{x})=\beta \mathrm{x}^{-2 n}\), where \(\beta\) and n are constants and x is the position of the particle. The acceleration of the particle as a function of \(x\) is given by:

1 \(-2 n \beta^2 x^{-2 n-1}\)
2 \(-2 n \beta^2 x^{-4 n-1}\)
3 \(-2 \beta^2 x^{-2 n+1}\)
4 \(-2 \beta^2 x^{-4 n+1}\)
TEST SERIES (PHYSICS FST)

266610 A particle starts from origin at \(t=0\) with a velocity \(5.0 \mathrm{i} \mathrm{ms}^{-1}\) and moves in XY -plane under action of force which produces a constant acceleration of \((3.0 \hat{i}+2.0 \hat{j}) \mathrm{ms}^{-2}\). What is the y-coordinate of the particle at the instant its \(x\)-coordinate is 4 m :

1 36 m
2 \(4 / 9 \mathrm{~m}\)
3 39 m
4 \(2 / 3 \mathrm{~m}\)
TEST SERIES (PHYSICS FST)

266611 A body is projected at \(\mathbf{t}=0\) with a velocity \(10 \mathrm{~ms}^{-1}\) at an angle of \(60^{\circ}\) with the horizontal. The radius of curvature of its trajectory at \(t=1 \mathrm{~s}\) is R . Neglecting air resistance and taking acceleration due to gravity \(g=10 \mathrm{~m} / \mathrm{s}^2\), the value of R :

1 2.5 m
2 10.3 m
3 2.8 m
4 5.1 m
TEST SERIES (PHYSICS FST)

266613 If two concentric sphere of radius \(\mathrm{R}_1\) and \(\mathrm{R}_2\) having surface charge density +o and -20. If net charge is zero. Then ratio of \(\frac{R_1}{R_2}\) will be:

1 \(\frac{\sqrt{2}}{1}\)
2 \(\frac{1}{2 \sqrt{2}}\)
3 \(\frac{1}{4}\)
4 \(4: 1\)