If energy (E), velocity (v) and time (T) are chosen as the fundamental quantities, the dimensional formula of surface tension will be
[Ev^{-2}T^{-1}]
[Ev^{-1}T^{-2}]
[Ev^{-2}T^{-2}]
[Ev^{-2}T^{-2}]
A particle of unit mass undergoes one-dimensional motion such that its velocity according to
V(x) = βx^{-2n} where β and n are constants and x is the position of the particle. The acceleration of the particle as a function of x is given by
-2nβ^{2} x^{-2n-1}
-2nβ^{2 }x^{-4n-1}
-2β x^{-2n+1}^{}
-2β x^{-2n+1}^{}
Two similar springs P and Q have spring constants K_{P} and KQ, such that K_{P}>K_{Q}. They are stretched, first by the same amount (case a), then by the same force (case b). The work done by the springs W_{P} and W_{Q} are related as, in case (a) and case (b), respectively
W_{P} =W_{Q} ;W_{P}> W_{Q}
W_{P} =W_{Q} ;W_{P}= W_{Q}
W_{P} > W_{Q} ;W_{Q}> W_{P}
W_{P} > W_{Q} ;W_{Q}> W_{P}
A block of mass 10 kg, moving in the x-direction with a constant speed of 10 ms^{-1} , is subjected to a retarding force F= 0.1x J/m during its travel from x = 20 m to 30 m. Its final KE will be
475 J
450 J
275 J
275 J
A particle of mass m is driven by a machine that delivers a constant power K watts. If the particle starts from rest, the force on the particle at time t is
Two particles of masses m_{1},m_{2} move with initial velocities u_{1} and u_{2}. On collision, one of the particles gets excited to a higher level, after absorbing energy (E). If final velocities of particles be v_{1} and v_{2}, then we must have
Kepler's third law states that square of the period of revolution (T) of a planet around the sun, is proportional to the third power of average distance r between the sun and planet i.e, T^{2} =Kr^{3}, here K is constant.
If the masses of the sun and planet are M and m respectively, them as per Newton's law of gravitation force of attraction between them is
The relation between G and K is described as
GK =4π^{2}
GMK =4π^{2}
K=G
K=G
A ship A is moving Westwards with a speed of 10 kmh^{-1} and a ship B 100km south of A, is moving Northwards with a speed of 10 kmh^{-1}. The time after which the distance between them becomes shortest is
0 h
5 h
Three blocks A, B, and C of masses 4 kg, 2 kg and 1 kg respectively, are in contact on a 14 N is applied to the 4 kg block, then the contact force between A and B is
2 N
6 N
8 N
8 N
A block A of mass m_{1} rests on a horizontal table. A light string connected to it passes over a frictionless pulley at the edge of the table and from its other end, another block B of mass m_{2} is suspended. The coefficient of kinetic friction between the block and the table is . When the block A is sliding on the table, the tension in the string is