class test-vector analysis
DESCRIPTION
Class Test on Vector Analysis. Multiple Choice type.TRANSCRIPT
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Physics Department, Panskura Banamali College by Dr. Abhijit Kar Gupta
Physics Hons., 1st Year : Surprise Test-2006 on Vector Analysis (Tick the correct answer) 1. If the two vectors are kjiA
)))++= 43 and kjiB
)))+−= then
(a) they are orthogonal, (b) orthonormal (c) anti-parallel, (d) none of these
2. The directional derivative of 22),( yxyxf += at (1,1) along jiu ˆ23ˆ
21ˆ += is
(a) 2
32 + , (b) 0, (c) 31+ (d) 1
3. If r1
=φ , then φ2∇ is
(a) 1, (b) -1, (c) 0, (d) 2
1r
4. =
×∇ 2rr ?
(a) r , (b) 0, (c) r− , (d) r)
5. For a particle moving in a circular orbit trjtrir ωω sincos))
+= , the value of dtrdr × is
(a) riω)
, (b) 2rkω)
, (c) 2rjω)
, (d) 22 rjri ωω))
+ 6. If we have a force jxiyF
))+= , then the work done along a circular path in the xy-
plane from 0=θ to 2πθ = is
(a) π , (b) 2π , (c) 0, (d) 1 7. If rV ×= ω , and ω is a constant vector then V×∇ =? (a) ω , (b) ω2 , (c) ω− , (d) 0
8. The vector 3rr is
(a) irrotational, (b) solenoidal, (c) both irrotational and solenoidal, (d) none of these 9. If a is a constant vector and r is the radius vector then ( )=××∇ ra ?
(a) a , (b) 2a , (c) 0, (d) r 10. Find the angle between two vectors a and b if baba ⋅=×
(a) 30 o , (b) 0, (c) 45 o , (d) 90 o