Q.

A bird ‘B’ in air is diving vertically downwards over a water tank with speed 5 cm/s. Base of the tank is silvered. A fish ‘F’ in the tank is rising vertically upwards along the same line with speed 2 cm/s. Water level is lowered at the rate of 2 cm/s. Take μ=43

Question Image
 Column – I Column – II
A)Speed of image of fish as seen by the bird directly in cm/sp)4
B)Speed of image of fish formed after reflection in the mirror as Seen by the bird in cm/s         q)8
C)Speed of image of bird as seen by the fish looking upwards in cm/sr)3
D)Speed of image of bird as seen by the fish looking downwards in cm/ss)6
  t)9

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a

As,Br,Cq,Dp

b

Ap,Br,Cq,Ds

c

As,Br,Cp,Dq

d

Ar,Bs,Cq,Dp

answer is B.

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Detailed Solution

A) D=x1+x2μ

dDdt=dx1dt+1μdx2dt

=(-3)+34(-4)=-6cm/s

B) D=x1+x2+2hμ

dDdt=dx1dt+1μdx2dt+2dhdt

=(-3)+34(-4+2×2)=-3cm/s

B) D=x2+x1μ

dDdt=dx2dt+μdx1dt

=(-4)+43(-3)=-8cm/s

B) D=x1μ+x2+h+h

dDdt=μdx1dt+dx2dt+2dhdt

=43(-3)+(-4)+2(2)=-4cm/s

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A bird ‘B’ in air is diving vertically downwards over a water tank with speed 5 cm/s. Base of the tank is silvered. A fish ‘F’ in the tank is rising vertically upwards along the same line with speed 2 cm/s. Water level is lowered at the rate of 2 cm/s. Take μ=43 Column – I Column – IIA)Speed of image of fish as seen by the bird directly in cm/sp)4B)Speed of image of fish formed after reflection in the mirror as Seen by the bird in cm/s         q)8C)Speed of image of bird as seen by the fish looking upwards in cm/sr)3D)Speed of image of bird as seen by the fish looking downwards in cm/ss)6  t)9