WorksheetsElectromagnetic wave
Total questions: 20
Worksheet time: 10mins
Which one of the following statements is true for the speed v and the acceleration of a particle executing simple harmonic motion?
When c is maximum, a is maximum
Value of a is zero, whatever may be the value of v
When v is zero, a is zero
When v is maximum, a is zero
The total energy of a particle performing simple harmonic motion depends on ___________
k, a, m
k, a
k, a, x
k, x
Time period of a simple pendulum is 2sec. If its length is increased by 4 times, then its period becomes ___________
8 sec
12 sec
16 sec
4 sec
In case of a forced vibration, the resonance peak becomes very sharp when the ___________
Damping force is small
Restoring force is small
Applied periodic force is small
Quality factor is small
The magnitude of acceleration of particle executing simple harmonic motion at the position of maximum displacement is?
Zero
Maximum
Minimum
Infinity
The displacement of a particle varies according to the relation
x=4(cosπt+sinπt)
The amplitude of the particle is?
-4
4
4root(2)
8
When two vectors are perpendicular, their
Dot product is zero
Cross product is zero
Both are zero
Both are not necessarily zero
The cross product of the vectors 3i + 4j – 5k and –i + j – 2k is,
3i – 11j + 7k
-3i + 11j + 7k
-3i – 11j – 7k
-3i + 11j – 7k
The divergence of distance vector (r) is
0
3
2
1
The vector product of two vectors is given by area of the parallelogram. State True/False.
True
False
The Laplacian operator is actually
Grad(Div V)
Div(Grad V)
Curl(Div V)
Div(Curl V)
A vector is said to be solenoidal when its
Divergence is zero
Divergence is unity
Curl is zero
Curl is unity
When a vector is irrotational, which condition holds good?
Stoke’s theorem gives non-zero value
Stoke’s theorem gives zero value
Divergence theorem is invalid
Divergence theorem is valid
Is the vector is irrotational. E = yz i + xz j + xy k
Yes
No
The divergence theorem converts
Line to surface integral
Surface to volume integral
Volume to line integral
Surface to line integral
Find the value of Stoke’s theorem for y i + z j + x k.
i + j
j + k
i + j + k
–i – j – k
Evaluate the surface integral ∫∫ (3x i + 2y j). dS, where S is the sphere given by x2 + y2 + z2 = 9.
120π
180π
240π
300π
At dc field, the displacement current density will be
0
1
Jc
∞
In free space, which parameter will be unity?
Permittivity
Absolute permittivity
Relative permittivity
Permeability
In conductors, the E and H vary by a phase difference of
0
30
45
60
