A force is 60 ° inclined to the horizontal. If its rectangular component in the horizontal direction is 50 N, then the magnitude of the force in the vertical direction is
1. 25 N
2. 75 N
3. 87 N
4. 100 N
The component of vector along the direction of is:
1.
2. 2
3.
4. 3
If and and are non-zero vectors, then :
1. is parallel to
2. =
3. and are mutually perpendicular
4.
If vector and are functions of time, then the value of t at which they are orthogonal to each other will be:
1.
2.
3.
4.
At what angle must the two forces (x + y) and (x – y) act so that the resultant comes out to be ?
1.
2.
3.
4.
For the given figure, which of the following is true?
1. = +
2. = +
3. = +
4. All of these
The value of the unit vector, which is perpendicular to both A = \(\hat{i} + 2\hat{j} + 3 \hat{k}\) and B = \(\hat{i} - 2\hat{j} - 3 \hat{k}\) :
1.
2.
3.
4.
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
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 acceleration of a particle is given by a=3t at t=0, v=0, x=0. The velocity and displacement at t = 2 sec will be: (\(Here, a=\frac{dv}{dt}~ and~v=\frac{dx}{dt}\))
1. 6 m/s, 4 m
2. 4 m/s, 6 m
3. 3 m/s, 2 m
4. 2 m/s, 3 m