02. Relative Velocity in One Dimension
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Motion in One Dimensions

141671 Two trains \(A\) and \(B\) travel in two parallel rail tracks in opposite direction with speed \(v_{1}\) and \(v_{2}\), respectively. They take \(4 \mathrm{~s}\) to pass each other at this speed. If the speed of train \(A\) is increased by \(50 \%\), then they take \(3 \mathrm{~s}\) to pass each other.
The ratio of \(v_{1} / v_{2}\) is

1 \(0: 5\)
2 \(1: 5\)
3 \(2: 1\)
4 \(2: 5\)
Motion in One Dimensions

141672 Two boys both swing at \(2.5 \mathrm{~km} / \mathrm{h}\) across a river with the water velocity of \(2 \mathrm{~km} / \mathrm{h}\). First boy starting from point \(A\) on one side of the river crosses the river along a straight line path reaching point \(B\) on the other side of the river. \(A B\) being perpendicular to the stream. The other boy starts from the same point \(A\) and swims right angles to the stream and reaches point \(C\) on the other side of the river and walks back to the point \(B\) with a velocity \(u\). If both boys reach point \(B\) at the same time the value of \(u\) is

1 \(2 \mathrm{~km} / \mathrm{h}\)
2 \(1 \mathrm{~km} / \mathrm{h}\)
3 \(4 \mathrm{~km} / \mathrm{h}\)
4 \(3 \mathrm{~km} / \mathrm{h}\)
Motion in One Dimensions

141673 In a car race, two cars start with velocities \(u_{1}\) and \(u_{2}\) and travel along a straight line with accelerations \(\alpha\) and \(\beta\) respectively. If both reach the finish line at the same time then range of the race is

1 \(\frac{2\left(u_{1}-u_{2}\right)}{(\beta-\alpha)^{2}}\left(u_{1} \beta-u_{2} \alpha\right)\)
2 \(\frac{\left(\mathrm{u}_{1}-\mathrm{u}_{2}\right)}{(\beta-\alpha)^{2}}\left(\mathrm{u}_{1} \beta-\mathrm{u}_{2} \alpha\right)\)
3 \(\frac{2\left(\mathrm{u}_{1}-\mathrm{u}_{2}\right)}{(\beta-\alpha)^{2}}\left(\mathrm{u}_{1} \alpha-\mathrm{u}_{2} \beta\right)\)
4 \(\frac{2\left(\mathrm{u}_{1}-\mathrm{u}_{2}\right)}{(\beta-\alpha)^{2}}\left(\mathrm{u}_{1} \beta-\mathrm{u}_{2} \alpha\right)\)
Motion in One Dimensions

141674 A tangent galvanometer has a reduction factor of \(1 \mathrm{~A}\) and it is placed with the plane of its coil perpendicular to the magnetic meridian. The deflection produced when a current of \(1 \mathrm{~A}\) is passed through it is:

1 \(60^{\circ}\)
2 \(45^{0}\)
3 \(30^{0}\)
4 None of these
Motion in One Dimensions

141671 Two trains \(A\) and \(B\) travel in two parallel rail tracks in opposite direction with speed \(v_{1}\) and \(v_{2}\), respectively. They take \(4 \mathrm{~s}\) to pass each other at this speed. If the speed of train \(A\) is increased by \(50 \%\), then they take \(3 \mathrm{~s}\) to pass each other.
The ratio of \(v_{1} / v_{2}\) is

1 \(0: 5\)
2 \(1: 5\)
3 \(2: 1\)
4 \(2: 5\)
Motion in One Dimensions

141672 Two boys both swing at \(2.5 \mathrm{~km} / \mathrm{h}\) across a river with the water velocity of \(2 \mathrm{~km} / \mathrm{h}\). First boy starting from point \(A\) on one side of the river crosses the river along a straight line path reaching point \(B\) on the other side of the river. \(A B\) being perpendicular to the stream. The other boy starts from the same point \(A\) and swims right angles to the stream and reaches point \(C\) on the other side of the river and walks back to the point \(B\) with a velocity \(u\). If both boys reach point \(B\) at the same time the value of \(u\) is

1 \(2 \mathrm{~km} / \mathrm{h}\)
2 \(1 \mathrm{~km} / \mathrm{h}\)
3 \(4 \mathrm{~km} / \mathrm{h}\)
4 \(3 \mathrm{~km} / \mathrm{h}\)
Motion in One Dimensions

141673 In a car race, two cars start with velocities \(u_{1}\) and \(u_{2}\) and travel along a straight line with accelerations \(\alpha\) and \(\beta\) respectively. If both reach the finish line at the same time then range of the race is

1 \(\frac{2\left(u_{1}-u_{2}\right)}{(\beta-\alpha)^{2}}\left(u_{1} \beta-u_{2} \alpha\right)\)
2 \(\frac{\left(\mathrm{u}_{1}-\mathrm{u}_{2}\right)}{(\beta-\alpha)^{2}}\left(\mathrm{u}_{1} \beta-\mathrm{u}_{2} \alpha\right)\)
3 \(\frac{2\left(\mathrm{u}_{1}-\mathrm{u}_{2}\right)}{(\beta-\alpha)^{2}}\left(\mathrm{u}_{1} \alpha-\mathrm{u}_{2} \beta\right)\)
4 \(\frac{2\left(\mathrm{u}_{1}-\mathrm{u}_{2}\right)}{(\beta-\alpha)^{2}}\left(\mathrm{u}_{1} \beta-\mathrm{u}_{2} \alpha\right)\)
Motion in One Dimensions

141674 A tangent galvanometer has a reduction factor of \(1 \mathrm{~A}\) and it is placed with the plane of its coil perpendicular to the magnetic meridian. The deflection produced when a current of \(1 \mathrm{~A}\) is passed through it is:

1 \(60^{\circ}\)
2 \(45^{0}\)
3 \(30^{0}\)
4 None of these
Motion in One Dimensions

141671 Two trains \(A\) and \(B\) travel in two parallel rail tracks in opposite direction with speed \(v_{1}\) and \(v_{2}\), respectively. They take \(4 \mathrm{~s}\) to pass each other at this speed. If the speed of train \(A\) is increased by \(50 \%\), then they take \(3 \mathrm{~s}\) to pass each other.
The ratio of \(v_{1} / v_{2}\) is

1 \(0: 5\)
2 \(1: 5\)
3 \(2: 1\)
4 \(2: 5\)
Motion in One Dimensions

141672 Two boys both swing at \(2.5 \mathrm{~km} / \mathrm{h}\) across a river with the water velocity of \(2 \mathrm{~km} / \mathrm{h}\). First boy starting from point \(A\) on one side of the river crosses the river along a straight line path reaching point \(B\) on the other side of the river. \(A B\) being perpendicular to the stream. The other boy starts from the same point \(A\) and swims right angles to the stream and reaches point \(C\) on the other side of the river and walks back to the point \(B\) with a velocity \(u\). If both boys reach point \(B\) at the same time the value of \(u\) is

1 \(2 \mathrm{~km} / \mathrm{h}\)
2 \(1 \mathrm{~km} / \mathrm{h}\)
3 \(4 \mathrm{~km} / \mathrm{h}\)
4 \(3 \mathrm{~km} / \mathrm{h}\)
Motion in One Dimensions

141673 In a car race, two cars start with velocities \(u_{1}\) and \(u_{2}\) and travel along a straight line with accelerations \(\alpha\) and \(\beta\) respectively. If both reach the finish line at the same time then range of the race is

1 \(\frac{2\left(u_{1}-u_{2}\right)}{(\beta-\alpha)^{2}}\left(u_{1} \beta-u_{2} \alpha\right)\)
2 \(\frac{\left(\mathrm{u}_{1}-\mathrm{u}_{2}\right)}{(\beta-\alpha)^{2}}\left(\mathrm{u}_{1} \beta-\mathrm{u}_{2} \alpha\right)\)
3 \(\frac{2\left(\mathrm{u}_{1}-\mathrm{u}_{2}\right)}{(\beta-\alpha)^{2}}\left(\mathrm{u}_{1} \alpha-\mathrm{u}_{2} \beta\right)\)
4 \(\frac{2\left(\mathrm{u}_{1}-\mathrm{u}_{2}\right)}{(\beta-\alpha)^{2}}\left(\mathrm{u}_{1} \beta-\mathrm{u}_{2} \alpha\right)\)
Motion in One Dimensions

141674 A tangent galvanometer has a reduction factor of \(1 \mathrm{~A}\) and it is placed with the plane of its coil perpendicular to the magnetic meridian. The deflection produced when a current of \(1 \mathrm{~A}\) is passed through it is:

1 \(60^{\circ}\)
2 \(45^{0}\)
3 \(30^{0}\)
4 None of these
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Motion in One Dimensions

141671 Two trains \(A\) and \(B\) travel in two parallel rail tracks in opposite direction with speed \(v_{1}\) and \(v_{2}\), respectively. They take \(4 \mathrm{~s}\) to pass each other at this speed. If the speed of train \(A\) is increased by \(50 \%\), then they take \(3 \mathrm{~s}\) to pass each other.
The ratio of \(v_{1} / v_{2}\) is

1 \(0: 5\)
2 \(1: 5\)
3 \(2: 1\)
4 \(2: 5\)
Motion in One Dimensions

141672 Two boys both swing at \(2.5 \mathrm{~km} / \mathrm{h}\) across a river with the water velocity of \(2 \mathrm{~km} / \mathrm{h}\). First boy starting from point \(A\) on one side of the river crosses the river along a straight line path reaching point \(B\) on the other side of the river. \(A B\) being perpendicular to the stream. The other boy starts from the same point \(A\) and swims right angles to the stream and reaches point \(C\) on the other side of the river and walks back to the point \(B\) with a velocity \(u\). If both boys reach point \(B\) at the same time the value of \(u\) is

1 \(2 \mathrm{~km} / \mathrm{h}\)
2 \(1 \mathrm{~km} / \mathrm{h}\)
3 \(4 \mathrm{~km} / \mathrm{h}\)
4 \(3 \mathrm{~km} / \mathrm{h}\)
Motion in One Dimensions

141673 In a car race, two cars start with velocities \(u_{1}\) and \(u_{2}\) and travel along a straight line with accelerations \(\alpha\) and \(\beta\) respectively. If both reach the finish line at the same time then range of the race is

1 \(\frac{2\left(u_{1}-u_{2}\right)}{(\beta-\alpha)^{2}}\left(u_{1} \beta-u_{2} \alpha\right)\)
2 \(\frac{\left(\mathrm{u}_{1}-\mathrm{u}_{2}\right)}{(\beta-\alpha)^{2}}\left(\mathrm{u}_{1} \beta-\mathrm{u}_{2} \alpha\right)\)
3 \(\frac{2\left(\mathrm{u}_{1}-\mathrm{u}_{2}\right)}{(\beta-\alpha)^{2}}\left(\mathrm{u}_{1} \alpha-\mathrm{u}_{2} \beta\right)\)
4 \(\frac{2\left(\mathrm{u}_{1}-\mathrm{u}_{2}\right)}{(\beta-\alpha)^{2}}\left(\mathrm{u}_{1} \beta-\mathrm{u}_{2} \alpha\right)\)
Motion in One Dimensions

141674 A tangent galvanometer has a reduction factor of \(1 \mathrm{~A}\) and it is placed with the plane of its coil perpendicular to the magnetic meridian. The deflection produced when a current of \(1 \mathrm{~A}\) is passed through it is:

1 \(60^{\circ}\)
2 \(45^{0}\)
3 \(30^{0}\)
4 None of these