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Worksheetsclassical physics
Total questions: 25
Worksheet time: 50mins
The degree of freedom for a free particle in space are _________
1
2
3
4
The number of independent variable for a free particle in space are ______
0
1
2
3
The gravitational force between two masses is
Repulsive
Attractive
Zero
Infinity
The number of independent variable for a free particle in space are ______
N
2N
3N
ZERO
___________ constraints are independent of time.
Holonomic
Non-Holonomic
Scleronomous
Rheonomous
The Lagrangian equations of motion are ___________ order differential equations.
first
second
zero
forth
The Lagrange‟s equations of motion for a system is equivalent to _______ equations of motion.
Newton’s
Laplace
Poisson
Maxwell‟s
The Lagrangian function is define by ____________
L= F + V
L= T - V
L = T + V
L = F - V
The lagrangian for a charged particle in an electromagnetic field is
Where T is kinetic energy and ϕ and A are magnetic scalar and vector potentials
L= T+ q ϕ + q(v.A)
L= T – qϕ – q(v.A)
L= T – qϕ + q(v.A)
L= T + qϕ – q(v.A)
The constraints on a bead on a uniformly rotating wire in a force free space is
Rheonomous
Scleronomous
a and b both
None of these
Generalized coordinates
Depends on each other
Independent on each other
necessarily spherical coordinates
May be Cartesian coordinate
If the lagrangian does not depend on time explicitly
The Hamiltonian is constant
The Hamiltonian cannot be constant
The kinetic energy is constant
the potential energy is constant
Three particles moving in space so that the distance between any two of them always remain fixed have degree of freedom equal to
1
3
9
6
A non holonomic constrain may be expressed in the form of
Equality
Inequality
Vector
None of these
A particle is constrained to move along the inner surface of a hemisphere number of degrees of freedom of the particle
1
2
3
4
If the lagrangian does not depend on time explicitly
The Hamiltonian is constant
The Hamiltonian cannot be constant
The kinetic energy is constant
the potential energy is constant
Which one of the following is true for the above system?
The acceleration of the comet is maximum when it is closest to the sun
The linear momentum of the comet is a constant
The comet will return to the solar system after a specified period
The kinetic energy of the comet is a constant
Consider two satellites A and B revolving around the earth in circular orbits with radii RA and RB. Their periods TA and TB are 8h and 1h, respectively. The ratio RA/RB is equal to
83/2
81/2
4
8
. A satellite is a circular orbit about the earth has a kinetic energy Ek. What is the minimum amount of energy to be added, so that it escape from the earth?
Ek/4
Ek/2
Ek
2Ek
The angular momentum is _________ in a central force field.
Zero
Not conserved
infinity
conserved
The areal velocity of the particle in a central force field is _______
Infinity
conserved
Infinity
None of these
In variational principle the line integral of some function between two end points is___________
zero
infinite
one
extremum
The shortest distance between two points in a plane is ___________
circular
hyperbolic
parabolic
straight line
The path of a particle is _________when it is moving under constant conservative force field
cycloid
hyperbolic
straight line
parabolic
The path of a particle is _________when it is moving under constant conservative force field
cycloid
hyperbolic
parabolic
straight line
