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QNEET-2017-Ph-965: NEET 2017 Physics - Class 12 NEET-2017-Ph-965 Solution: A beam of light from a source L is incident normally on a plane …

A beam of light from a source L is incident normally on a plane mirror fixed at a certain distance x from the source. The beam is reflected back as a spot on a scale placed just above the source L. When the mirror is rotated through a small angle θ\theta the spot of the light is found to move through a distance y on the scale. The angle θ\theta is given by yx\frac{y}{x} x2y\frac{x}{2y} xy\frac{x}{y} y2x\frac{y}{2x}

Multiple Choice Options

  • A yx{y \over x} x y _
  • B x2y{x \over {2y}} 2 y x _
  • C xy{x \over {y}} y x _
  • D y2x{y \over {2x}} 2 x y _

Step-by-Step Verified Solution

As the mirror is rotated _, the reflected ray rotates 2_. Using trigonometry, tan 2_ = y/x _ being small, 2_ = y/x or _ = y/2x

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