143729 A boy runs on a horizontal road with a speed of \(4 \mathrm{~m} / \mathrm{s}\) while it is raining. He sees that the rain is making an angle \(\theta\) with the vertical while running from West to East. However, when he runs from East to West, the angle is \(\alpha\). The rain is pouring down at an angle \(45^{\circ}\) with the vertical normal and at a speed of \(8 \mathrm{~m} / \mathrm{s}\) as shown in the figure. The ratio \(\frac{\tan \theta}{\tan \alpha}\) is

143730 Assertion: The magnitude of velocity of two boats relative to river is same. Both boats start simultaneously from same point on the bank may reach opposite bank simultaneously moving along different paths.
Reason: For boats to cross the river in same time. The component of their velocity relative to river in direction normal to flow should be same.

143731 A train of \(150 \mathrm{~m}\) length is going towards North direction at a speed of \(10 \mathrm{~ms}^{-1}\). A parrot files at a speed of \(5 \mathrm{~ms}^{-1}\) towards South direction parallel to the railway track. The time taken by the parrot to cross the train is equal to-

143732 What will be the minimum speed of the roller coaster so that the passenger at the top, when becomes upside down, do not fall out? Consider the acceleration due to gravity as \(10 \mathrm{~m} / \mathrm{s}^{2}\), and the radius of curvature of the roller coaster is \(10 \mathrm{~m}\).

143729 A boy runs on a horizontal road with a speed of \(4 \mathrm{~m} / \mathrm{s}\) while it is raining. He sees that the rain is making an angle \(\theta\) with the vertical while running from West to East. However, when he runs from East to West, the angle is \(\alpha\). The rain is pouring down at an angle \(45^{\circ}\) with the vertical normal and at a speed of \(8 \mathrm{~m} / \mathrm{s}\) as shown in the figure. The ratio \(\frac{\tan \theta}{\tan \alpha}\) is

143730 Assertion: The magnitude of velocity of two boats relative to river is same. Both boats start simultaneously from same point on the bank may reach opposite bank simultaneously moving along different paths.
Reason: For boats to cross the river in same time. The component of their velocity relative to river in direction normal to flow should be same.

143731 A train of \(150 \mathrm{~m}\) length is going towards North direction at a speed of \(10 \mathrm{~ms}^{-1}\). A parrot files at a speed of \(5 \mathrm{~ms}^{-1}\) towards South direction parallel to the railway track. The time taken by the parrot to cross the train is equal to-

143732 What will be the minimum speed of the roller coaster so that the passenger at the top, when becomes upside down, do not fall out? Consider the acceleration due to gravity as \(10 \mathrm{~m} / \mathrm{s}^{2}\), and the radius of curvature of the roller coaster is \(10 \mathrm{~m}\).

143729 A boy runs on a horizontal road with a speed of \(4 \mathrm{~m} / \mathrm{s}\) while it is raining. He sees that the rain is making an angle \(\theta\) with the vertical while running from West to East. However, when he runs from East to West, the angle is \(\alpha\). The rain is pouring down at an angle \(45^{\circ}\) with the vertical normal and at a speed of \(8 \mathrm{~m} / \mathrm{s}\) as shown in the figure. The ratio \(\frac{\tan \theta}{\tan \alpha}\) is

143730 Assertion: The magnitude of velocity of two boats relative to river is same. Both boats start simultaneously from same point on the bank may reach opposite bank simultaneously moving along different paths.
Reason: For boats to cross the river in same time. The component of their velocity relative to river in direction normal to flow should be same.

143731 A train of \(150 \mathrm{~m}\) length is going towards North direction at a speed of \(10 \mathrm{~ms}^{-1}\). A parrot files at a speed of \(5 \mathrm{~ms}^{-1}\) towards South direction parallel to the railway track. The time taken by the parrot to cross the train is equal to-

143732 What will be the minimum speed of the roller coaster so that the passenger at the top, when becomes upside down, do not fall out? Consider the acceleration due to gravity as \(10 \mathrm{~m} / \mathrm{s}^{2}\), and the radius of curvature of the roller coaster is \(10 \mathrm{~m}\).

143729 A boy runs on a horizontal road with a speed of \(4 \mathrm{~m} / \mathrm{s}\) while it is raining. He sees that the rain is making an angle \(\theta\) with the vertical while running from West to East. However, when he runs from East to West, the angle is \(\alpha\). The rain is pouring down at an angle \(45^{\circ}\) with the vertical normal and at a speed of \(8 \mathrm{~m} / \mathrm{s}\) as shown in the figure. The ratio \(\frac{\tan \theta}{\tan \alpha}\) is

143730 Assertion: The magnitude of velocity of two boats relative to river is same. Both boats start simultaneously from same point on the bank may reach opposite bank simultaneously moving along different paths.
Reason: For boats to cross the river in same time. The component of their velocity relative to river in direction normal to flow should be same.

143731 A train of \(150 \mathrm{~m}\) length is going towards North direction at a speed of \(10 \mathrm{~ms}^{-1}\). A parrot files at a speed of \(5 \mathrm{~ms}^{-1}\) towards South direction parallel to the railway track. The time taken by the parrot to cross the train is equal to-

143732 What will be the minimum speed of the roller coaster so that the passenger at the top, when becomes upside down, do not fall out? Consider the acceleration due to gravity as \(10 \mathrm{~m} / \mathrm{s}^{2}\), and the radius of curvature of the roller coaster is \(10 \mathrm{~m}\).