What is the torque of a force newton acting at a point metre about the origin? (Given: )
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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:
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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=.
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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
The acceleration of a particle starting from rest varies with time according to relation, . The velocity of the particle at time instant t is: (\(Here, a=\frac{dv}{dt}\))
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2.
3.
4.
The displacement of the particle is zero at t=0 and at t=t it is x. It starts moving in the x-direction with a velocity that varies as , where k is constant. The velocity will : (Here, \(v=\frac{dx}{dt}\))
1. vary with time.
2. be independent of time.
3. be inversely proportional to time.
4. be inversely proportional to acceleration.