Which one of the following statements is not true?
1. | The magnitude of a vector is always a scalar. |
2. | The average speed of a particle is either greater or equal to the magnitude of the average velocity of the particle over the same interval of time. |
3. | Three vectors not lying in a plane can never add up to give a null vector. |
4. | Each component of a vector is always a scalar. |
A cyclist starts from the center of a circular park of radius km, reaches the edge of the park, then cycles along the circumference, and returns to the center along as shown in the figure. If the round trip takes min, then the average speed of the cyclist is:
1. km/h
2. km/h
3. km/h
4. km/h
A cricketer can throw a ball to a maximum horizontal distance of . How much high above the ground, can the cricketer throw the same ball?
1.
2.
3.
4.
An aircraft executes a horizontal loop of radius 1.00 km with a steady speed of 900 km/h. Then the ratio of its centripetal acceleration with the acceleration due to gravity is:
1. 5.4:1
2. 6.4:1
3. 4:1
4. 1:1
Three girls skating on a circular ice ground of radius m start from a point on the edge of the ground and reach a point diametrically opposite to following different paths as shown in the figure. The correct relationship among the magnitude of the displacement vector for three girls will be:
1.
2.
3.
4.
Rain falls vertically at the speed of A woman riding a bicycle with a speed of in the north-to-south direction. What is the direction in which she should hold her umbrella?
[given:
1. | with the vertical, towards the north |
2. | with the vertical, towards the north |
3. | with the vertical, towards the south |
4. | with the vertical, towards south |
A man can swim at a speed of km/h in still water. How long does he take to cross a river km wide if the river flows steadily at km/h and he makes his strokes normal to the river current?
1. min
2. min
3. min
4. min
In a harbor, the wind is blowing at the speed of , and the flag on the mast of a boat anchored in the harbor flutters along the direction. If the boat starts moving at a speed of to the north, what is the direction of the flag on the mast of the boat?
1. | almost due north |
2. | almost due east |
3. | almost due west |
4. | almost due south |
The ceiling of a long hall is 25 m high. What is the maximum horizontal distance that a ball thrown with a speed of 40 m/s can go without hitting the ceiling of the hall?
1. 150.5 m
2. 165.6 m
3. 145.3 m
4. 158.2 m
A stone tied to the end of a string cm long is whirled in a horizontal circle at a constant speed. If the stone makes revolutions in s, what is the magnitude of the acceleration of the stone?
1. | ms–2 | 2. | ms–2 |
3. | ms–2 | 4. | ms–2 |