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Multiple Choice Questions
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1. The range of φ variation in spherical polar coordinates is from zero to
1 point
a) π and clockwise direction
b) π and anticlockwise direction
c) 2 π and anticlockwise direction
d) 2π and clockwise direction
Other:
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2. The angle between e ̂_θ and e ̂_φ unit vectors in spherical polar coordinates is
1 point
a) 0
b) π
c) π/2
d) 2 π
Other:
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3.
If spherical polar coordinates of a point are (6, 60°,30°) then z in Cartesian coordinates shall be
2 points
a) 6
b) 3
c) 3/√2
d) (3√3)/2
Other:
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4.
The total surface area of closed surface is
1 point
a) positive
b) negative
c) Zero
d) infinite
Other:
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5.
Solid angle subtended by any closed surface at a point enclosed by it is
1 point
a) Zero
b) 4π radians
c) π steradians
d) 4π steradians
Other:
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6.
An elementary surface area subtends the following solid angle at the origin
1 point
a) r2 sin θ dθ dφ
b) sin θ dθ dφ
c) r cos θ dθ dφ
d) r sin θ dθ dφ
Other:
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7. The range of θ variation in plane polar coordinates is from zero to
1 point
a) 2π and clockwise direction
b) 2π and anticlockwise direction
c) π and clockwise direction
d) π and anticlockwise direction
Other:
Clear selection
8. the express for p ̂ in terms of i ̂ and j ̂ + xz sin (x,y,z) k ̂
1 point
a) cos θ i ̂ + sin θ j ̂
b) cos φi ̂ + sin φ j ̂
c) -sin φi ̂ + cos φ j ̂
d) -sin θi ̂ + cos θ j ̂
Other:
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9. The extenal torque does not act on the particles are
1 point
a) free or force is either parallel or antiparallel to r vector
b) free or force is either parallel or perpendicular to r vector
c) bound or force is either parallel or antiparallel to r vector
d) none of above
Other:
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10. The linear potential of system of particles w.r.t centre of mass is
1 point
a) infinity
b) constant
c) zero
d) integer
Other:
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11. The vector sum of the moments of masses of system of particles about the centre of mass is
1 point
a) infinity
b) definite value
c) constant
d) zero
Other:
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12. The cartesian coordinates of particle moving in XY plane at any time are 3t, 2t^ 2 (i.e 2t square) cm. Find r and θ at t=2 sec.
2 points
A) 5 cm and 50.13 degree
B) 5 cm and 53.13 degree
C) 10 cm and 50.13 degree
D) 10 cm and 53.13 degree
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13. The plan co-ordinates of a point are (4, 30^ ₒ, 60^ ₒ). Find its Cartesian co-ordinates
2 points
a) (12, 4 root 3, 8)
b) (6, 2 root 3, 4)
c) (1, root 3, 2 root 3)
d) (2, root 3, 2 root 3)
Other:
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14) Nuclear and Weak forces are
1 point
a) short range force
b) long range force
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15) Which force are conservative forces
1 point
a) friction force
b) Gravitational force
c) Nuclear force
d) Weak forces
Other:
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16) Space do not have following property
1 point
a)Euclidean
b) Non- Homogeneous
C) Isotropic
D) Space reflection
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17) Electrostatic forces are
1 point
a) non-conservative force
b) non-central force
c) Central force
Other:
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