CBSE
Multiple Choice QuestionsThe potential energy of particle varies with distance x fixed a origin as ; where A and B are constants. The dimensions of AB are
[ M L5/2 T-2 ]
[ M L2 T-2 ]
[ M3/2 L3/2 T-2 ]
[M L7/2 T-2 ]
A projectile is fired with a velocity u at angle θ with the ground surface. During the motion at any time it is making an angle a with the ground surface. The speed of particle at this time will be
ucosθ sec
ucosθ tan
u2 cos2 sin2
usinθ.sin
A certain vector in the xy-plane has an x-component of 4 m and a y-component of 10 m. It is then rotated in the xy-plane so that its x-component is doubled. Then, its new y-component is (approximately)
20 m
7.2 m
5.0 m
4.5 m
Water level is maintained in a cylindrical vessel upto a fixed height H. The vessel is kept on a horizontal plane. At what height above the bottom should a hole be made in the vessel, so that the water stream coming out of the hole strikes the horizontal plane of the greatest distance from the vessel?
h =
A body is thrown with a velocity of 9.8 m/s making an angle of 30° with the horizontal. It will hit the ground after a time
1.5 s
1 s
3 s
2 s
The angle between two linear transmembrane domains is defined by following vectors
cos-1
cos-1
sin-1
sin-1
What is the radius of curvature of the parabola traced out by the projectile in the previous problem at a point where the particle velocity makes an angle θ/2 with the horizontal?
A solid sphere and a hollow sphere of the same material and of a same size can be distinguished without weighing
by determining their moments of inertia about their coaxial axe
by rolling them simultaneously on an inclined plane
by rotating them about a common axis of rotation
by applying equal torque on them
Three points charges +q, -2q and +q are placed at points (x=0, y=a, z=0), ( x=0, y=0, z=0 ) and (x=a, y=0, z=0), respectively. The magnitude and direction of the electric dipole moment vector of this charge assembly are
√2 qa along + y direction
√2 qa along the line joining point
qa along the line joining points (x = 0,y = 0, z = 0) and (x = a, y = a, z = 0)
√2 qa along + x direction
A coin is dropped in a lift. It takes time t1 to reach the floor when lift is stationary. It takes time t2 when lift is moving up with constant acceleration. Then,
t1 ≥ t2
t2 > t1
t1 = t2
t1 >> t2
