1.

Choose the following statement a True of False. a. The real image formed by a lens is always inverted. b. The image formedby a lens is always inverted. c. The image formed by a concave lens is always erect and diminished. d. An air bubble insidewater acts likea concave lens. e. The distance between a real object and its real image formed by a single lens cannot be more than 4f. f. I an object is moved at a constant speed toward a convex lens from infinity to focus, then its image moves slower in the begninning and faster later on, away from the lens. g. The focal length of a glass (mu=1.5) lens is 10 cm in air. When it is completely immersed in water its focal length will become 40cm.

Answer»

Solution : a. False. Real images of real object are always INVERTED. But for virtual object the image may be erect.
b. False. Real images are always inverted.
c. True. From equation, we have
`m=(f_(0))/(x+f_(0))`
The VALUE of mis always positive and less that 1.
d. True . The air BUBBLE in water diverges a parallel beam of light.

E. True. The lease distance between a real object and its real image is 4f.
f. True. `(1)/(y)+(1)/(x)=(1)/(f),(dx)/(dt)=-u, (dy)/(dt)=v`
`-(1)/(y^(2))(dy)/(dt)-(1)/(x^(2))(dx)/(dt)=0`
`v=(y^(2))/(x^(2))u`
Initially, x is large and y is small. So, initially v is small.
But as the object moves from `oo` to focus, x decreases and y increases. So, v also increases.

g. True. Using equation, we have
`f=f_(0)[(mu(mu_(0)-1))/(mu_(0)-mu)]`
Hence, `mu_(0)=(3)/(2), mu=(4)/(3)`
`rArr f=4f_(0)`
The effective FOCAL length comes out to be positive.


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