The magnitudes of vectors are 3, 4 and 5 units respectively. If , thenthe angle between and is
The angle between is θ. The value of the triple product is [1989]
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A bus is moving on a straight road towards north with a uniform speed of 50 km/hour turns through 90°. If the speed remains unchanged after turning, the increase in the velocity of bus in the turning process is [1989]
The maximum range of a gun of horizontal terrain is 16 km. If g = 10 ms^{–2}, then muzzle velocity of a shell must be [1990]
Two bodies of same mass are projected with the same velocity at an angle 30° and 60° respectively. The ratio of their horizontal ranges will be[1990]
An electricfan has blades of length 30cm measured from the axis of rotation. If the fan is rotating at 120 rpm, the acceleration of a point on the tip of the blade is [1990]
When milk is churned, cream gets separated due to[1991]
The resultant of will be equal to [1992]
If a body A of mass M is thrown with velocity v at an angle of 30° to the horizontal and another body B of the same mass is thrown with the same speed at an angle of 60° to the horizontal, the ratio of horizontal range of A to B will be [1992]
A boat is sent across a river with a velocity of 8 km h^{–1}. If the resultant velocity of boat is 10 km h^{–1} , then the velocity of the river is [1993]
A body constrained to move in ydirection, is subjected to a force given by . What is the workdone by this force in moving the body through a distance of 10m along yaxis ? [1994]
When a body moves with a constant speed along a circle[1994]
Th e position vector of a par ticle is . The velocity of the particle is [1995]
Which of the following is not a vector quantity?
A bullet is fired from a gun with a speed of 1000 m/s in order to hit a target 100 m away. At what height above the target should the gun be aimed? (The resistance of air is negligible and g = 10 m/s^{2}) [1995]
A body is whirled in a horizontal circle of radius 20 cm. It has an angular velocity of 10 rad/s.What is its linear velocity at any point on circular path[1996]
A ball whose kinetic energy is E, is thrown at an angle of 45º with the horizontal. Its kinetic energy at the highest point of its flight will be [1997]
Find the torque of a force acting at the poin . [1997]
Two particles A an d B are con nected by a rigid rod AB. The rod slides along perpendicular rails as shown here. The velocity of A to the left is 10 m/s. What is the velocity of B when angle α = 60º? [1998]
A ball of mass 0.25 kg attached to the end of a string of length 1.96 m is moving in a horizontal circle. The string will break if the tension is more than 25 N. What is the maximum speed with which the ball can be moved? [1998]
A 500 kg car takes a round turn of radius 50 m with a velocity of 36 km/h. The centripetal force is[1999]
What is the linear velocity if angular velocity vect or and position vector [1999]
The angle between two vectors of magnitude 12 and 18 units when their resultant is 24 units, is[1999]
A body of mass 0.4 kg is whi rled in a vertical circle making 2 rev/sec. If the radius of the circle is 1.2 m, then tension in the string when the body is at th e top of the circle, is [1999]
A stone tied with a string, is rotated in a vertical circle. The minimum speed with which the string has to be rotated [1999]
A person swims in a river aiming to reach exactly opposite point on the bank of a river. His speed of swimming is 0.5 m/s at an angle 120º with the direction of flow of water. The speed of water in stream is [1999]
If a unit vector is represented by , the value of c is [1999]
Two projectiles ar e fir ed from t he same point with the same speed at angles of projection 60º and 30º respectively. Which one of the following is true? [2000]
A small sphere is attach ed to a cord and rotates in a vertical circle about a point O. If the average speed of the sphere is increased, the cord is most likely to break at the orientation when the mass is at [2000]
A particle moves with a velocity under the in fluence of a constant force The instantaneous power applied to the particle is [2000]
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