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
A body is moving according to the equation where x represents displacement and a, b and c are constants. The acceleration of the body is: (\(Given: a=\frac{d^2x}{dt^2}\))
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
A particle moves along the X-axis so that its X coordinate varies with time t according to the equation . The initial velocity of the particle is: (\(Given; v=\frac{dx}{dt}\))
1. -5 m/s
2. 6 m/s
3. 3 m/s
4. 4 m/s
The position x of the particle varies with time t as . The acceleration of the particle will be zero at a time equal to: (\(Given: a=\frac{d^2x}{dt^2}\))
1.
2.
3.
4. Zero
The area of a blot of ink, A, is growing such that after t seconds, \(A=3t^2+\frac{t}{5}+7~m^2\). Then the rate of increase in the area at t= 5s will be :
1. 30.1 m2/s
2. 30.2 m2/s
3. 30.3 m2/s
4. 30.4 m2/s
A particle starts rotating from rest and its angular displacement is given by . Then, the angular velocity at the end of 10 s will be :
1. 0.7
2. 0.6
3. 0.5
4. 0
The maximum or the minimum value of the function y = 25+ 5 – 10x is:
1. ymin = 4
2. ymax = 8
3. ymin = 8
4. ymax = 4
The displacement of a particle is given by . The initial velocity and initial acceleration, respectively, are: (\(Given: v=\frac{dx}{dt}~and~a=\frac{d^2x}{dt^2}\))
1. b, -4d
2. -d, 2c
3. b, 2c
4. 2c, -4d