Verified Solution • 2025–26 Session moderate

QNEET-2017-Ph-975: NEET 2017 Physics - Class 12 NEET-2017-Ph-975 Solution: If \( _1\) and \( _2\) be the apparent angles of dip observed…

If θ1\theta_1 and θ2\theta_2 be the apparent angles of dip observed in two vertical planes at right angles to each other then the true angle of dip θ\theta is given by tan⁡2θ=tan⁡2θ1+tan⁡2θ2\tan^2\theta = \tan^2\theta_1 + \tan^2\theta_2 cot⁡2θ=cot⁡2θ1−cot⁡2θ2\cot^2\theta = \cot^2\theta_1 - \cot^2\theta_2 tan⁡2θ=tan⁡2θ1−tan⁡2θ2\tan^2\theta = \tan^2\theta_1 - \tan^2\theta_2 cot⁡2θ=cot⁡2θ1+cot⁡2θ2\cot^2\theta = \cot^2\theta_1 + \cot^2\theta_2

Multiple Choice Options

  • A tan 2 θ\theta _ = tan 2 θ\theta _ 1 + tan 2 θ\theta _ 2
  • B cot 2 θ\theta _ = cot 2 θ\theta _ 1 −- _ cot 2 θ\theta _ 2
  • C tan 2 θ\theta _ = tan 2 θ\theta _ 1 −- _ tan 2 θ\theta _ 2
  • D cot 2 θ\theta _ = cot 2 θ\theta _ 1 + cot 2 θ\theta _ 2

Step-by-Step Verified Solution

If _ 1 and _ 2 are opparent angles of dip. Let _ be the angle which one of the plane make with the magnetic meridian. For magnetic meridian and plane (1) tan _ 1 = tan _ _ cos _ _ _ cos _ = tan _ _ tan _ _ 1 .....(1) For magnetic meridian and plane (2) tan _ 1 = tan _ _ cos _ ( 90 _ _ _ ) _ sin _ _ = tan _ _ tan _ _ 2 ....(2) (1) 2 + (2) 2 1 = tan 2 _ tan 2 _ 1 + tan 2 _ tan 2 _ 2 _ cot 2 _ = cot 2 _ 1 + cot 2 _ 2

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