$A$ concave mirror is placed at the bottom of an empty tank with its face upwards and axis vertical. When sunlight falls normally on the mirror,it is focused at a distance of $32 \, cm$ from the mirror. If the tank is filled with water $\left( \mu = \frac{4}{3} \right)$ up to a height of $20 \, cm$,then the sunlight will now be focused at:

  • A
    $16 \, cm$ above the water level
  • B
    $9 \, cm$ above the water level
  • C
    $24 \, cm$ below the water level
  • D
    $9 \, cm$ below the water level

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Two blocks each of mass $m$ lie on a smooth table. They are attached to two other masses as shown in the figure. The pulleys and strings are light. An object $O$ is kept at rest on the table. The sides $AB$ and $CD$ of the two blocks are made reflecting. The acceleration of the two images formed in those two reflecting surfaces with respect to each other is:

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For a concave mirror, if a virtual image is formed, the graph between $m$ and $u$ is of the form:

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