A weight hanging from a spring is stretched down 3 cm beyond its rest position and released at time t=0 to bob up and down. Its position at any later time t is s=3cos(t). Then its velocity at time t is
(1) cost
(2) 3cost
(3) 3sint
(4) -3sint
The position of a particle is given by Then, at t = 2, its velocity is :
1.
2.
3.
4. None of these
The instantaneous velocity at t= of a particle whose positional equation is given by is -
(1) 0
(2) -24
(3) 24
(4)
If acceleration of a particle is given as a(t)=sin(t)+2t. Then the velocity of the particle will be:
(acceleration )
1.
2.
3.
4. None of these
If x=3tan(t) and y=sec(t), then the value of is:
1. 3
2.
3. 1
4. 1/6
A particle's position as a function of time is given by . The maximum value of the position co-ordinate of the particle is:
1. 8
2. 12
3. 3
4. 6
A gas undergoes a process where pressure P=, at every instant, here V is the volume. Find an expression for the bulk modulus (B) in terms of volume if it is related to P and V as .
(1)
(2)
(3)
(4)
The current in a circuit is defined as . The charge (q) flowing through a circuit, as a function of time (t), is given by . The minimum charge flows through the circuit at:
1. t=4 sec
2. t=2 sec
3. t= 6 sec
4. t=3 sec
The current in a circuit is defined as . If the charge (q) flowing through a circuit is given by current flowing through the circuit is equal to zero at:
1. t=3 sec
2. t=2 sec
3. t=1.5 sec
4. t=15 sec
Work done by a force (F) in displacing a body by dx is given by W=. If the force is given as a function of displacement (x) by , then work done by the force from x=0 to x=3 m is:
1. 3 J
2. 6 J
3. 9 J
4. 21 J