In an optics experiment, with the position of the object fixed, a student varies the position of a convex lens and for each position, the screen is adjusted to get a clear image of the object. A graph between the object distance $u$ and the image distance $v$, from the lens, is plotted using the same scale for the two axes. A straight line passing through the origin and making an angle of $45 ^ { \circ }$ with the x-axis meets the experimental curve at $P$. The coordinates of $P$ will be (1) $( 2f , 2f )$ (2) $\left( \frac { f } { 2 } , \frac { f } { 2 } \right)$ (3) $( f , f )$ (4) $( 4f , 4f )$
In an optics experiment, with the position of the object fixed, a student varies the position of a convex lens and for each position, the screen is adjusted to get a clear image of the object. A graph between the object distance $u$ and the image distance $v$, from the lens, is plotted using the same scale for the two axes. A straight line passing through the origin and making an angle of $45 ^ { \circ }$ with the x-axis meets the experimental curve at $P$. The coordinates of $P$ will be\\
(1) $( 2f , 2f )$\\
(2) $\left( \frac { f } { 2 } , \frac { f } { 2 } \right)$\\
(3) $( f , f )$\\
(4) $( 4f , 4f )$