The vector , which is collinear with the vector =(2, 1, -1) and satisfies the condition .=3 is-
1. (1, 1/2, -1/2)
2. (2/3, 1/3, -1/3)
3. (1/2, 1/4, -1/4)
4. (1, 1, 0)
If a, b and c are three non-zero vectors such that , then the value of will be:
1. | Less than zero | 2. | equal to zero |
3. | greater than zero | 4. | 3 |
What is the torque of a force newton acting at a point metre about the origin? (Given: )
1.
2.
3.
4.
The momentum of a body moving in a straight line is . Force acting on the body at t=2 sec will be: (\(Given: F=\frac{dp}{dt}\))
1. 6 N
2. 8 N
3. 4 N
4. 2 N
Temperature of a body varies with time as , where is the temperature in Kelvin at , then the rate of change of temperature at is:
1.
2.
3.
4.
and are two vectors and θ is the angle between them. If , then the value of θ will be:
1. | 60o | 2. | 45o |
3. | 30o | 4. | 90o |
A particle is moving along the x-axis. The velocity v of this particle varies with its position x as . Find the velocity of the particle as a function of time t given that at t=0, x=1 and v=.
1.
2.
3.
4. None of these
If a curve is governed by the equation y=sinx, then the area enclosed by the curve and x-axis between x =0 and x = is (shaded region) :
1. 1 unit
2. 2 units
3. 3 units
4. 4 units