Explanation :
∇⋅(∇×F)=0
Correct Answered :
Wrong Answered :
1. The Divergence of Curl is?
A
1
B
infinity
C
0
D
None of the above
∇⋅(∇×F)=0
Correct Answered :
Wrong Answered :
2. The Michelson–Morley experiment was designed to show :
A
The difference in the speed of light between directions parallel and perpendicular to the Earth’s motion
B
The speed of light in vacuum is not invariant
C
That Galilean transformation equations are valid for the speed of light to be invariant
D
None of the above
A
Correct Answered :
Wrong Answered :
3. In free space, the Poisson equation for electrostatics becomes :
A
The Maxwell’s equation.
B
The Laplace equation
C
The steady state continuity equation
D
The Ampere’s circuital law
In free space, the Poisson equation for electrostatics is given by: ∇²V(r) = - ρ(r) / ε₀ Where: V(r) is the electrostatic potential at a point in space ∇² is the Laplacian operator, representing the divergence of the gradient of the potential ρ(r) is the charge density at a point in space ε₀ is the electric constant, a fundamental physical constant with a value of approximately 8.854 x 10^-12 C^2/Nm^2. but charge density is 0 in free space so we are left with Laplace equation
Correct Answered :
Wrong Answered :
4. An astronaut sees two spaceships flying apart with
speed 0.99c. The speed of one spaceship as viewed
by the other nearly is :
A
(A) 0.99995c
B
(B) c
C
(C) 0.95555c
D
(D) 0 c
Va|b = (Va - Vb)/(1 + Va*Vb/c^2)
Correct Answered :
Wrong Answered :
5. The graph of the function as shown in Fig.1 is best described by :
A
e^x* cos(x)
B
e^–x *cos(x)
C
e^x *sin(x)
D
e^ –x *sin(x)
C
Correct Answered :
Wrong Answered :
6. Choose the incorrect statement :
A
If total linear momentum of a system of particles is zero, the angular momentum of the system is the same around all origins
B
Even if total linear momentum of a system of particles is not zero, the angular momentum of the system is same around all origins
C
If the total force on a system of particles is zero, the torque on the system is the same around all origins
D
When a rigid body rotates around an axis, every particle in the body remains at a fixed distance from the axis
B
Correct Answered :
Wrong Answered :
7. If F is the time-dependent force F = A – Bt, where
A and B are positive constants, the velocity v(t) in
terms of A, B, m (mass), v0
(initial velocity) and x0
(initial
position) is given by :
A
v(t) = v0 + At /m – B t2 /2m
B
v(t) = v0 + At2 /m – B t/2m
C
v(t) = v0 + B t2 /2m
D
v(t) = v0 – B t2 /2m
A
Correct Answered :
Wrong Answered :
8. How far approximately will a small boat move, when
a man with mass 64 kg moves from back to front of
the boat ? Given that length of boat is 2.7 m, its mass
is 92 kg. (Water resistance and tilt of the boat is
negligible)
A
1.03 m
B
1.40 m
C
2.74 m
D
1.10 m
center of mass will remain at same point
Correct Answered :
Wrong Answered :
9. A particle moves in a circular orbit with the potential
energy U(r) = –A/r^n , where A > 0. For what values of
‘n’ are the circular orbits stable :
A
n > 2
B
n <= 2
C
Only for n = 2
D
Only for n = 1
B
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Wrong Answered :
10.
A particle of mass ‘m’ is located in the y-z plane at x = 0, y = 3, z =3. Its moment and products of inertia relative to the origin written in the form of an Inertia matrix are :
A
A
B
B
C
C
D
D
A
Correct Answered :
Wrong Answered :
11. A marble of mass 0.1 kg and radius 0.25 m is rolled
up a plane of angle 30 degree . If the initial velocity of the
marble is 2 m/s, the distance ‘d’ it travels up the plane
before it begins to roll back down is equal to :
A
4 m
B
4/5 m
C
4/7 m
D
4/9 m
C
Correct Answered :
Wrong Answered :
12. A thin sheet of mass M is in the shape of an equilateral
triangle with side L. The moment of inertia around an
axis through a vertex, perpendicular to the sheet is :
A
5/7 ML^2
B
5/12 ML^2
C
5/9 ML^2
D
1/2 ML^2
B
Correct Answered :
Wrong Answered :
13.
A
∇ × F = 0
B
∇· F = 0
C
∇V=0
D
∇^2 V=0
A
Correct Answered :
Wrong Answered :