NEET | 2017Physics miscellaneousHard

Question

If θ1 and θ2 be the apparent angles of dip observed in two vertical planes at right angles to each other, then the true angle of dip θ is given by :-

Options

A.

tan2θ = tan2θ1+tan2θ2

B.

cot2θ=cot2θ1-cot2θ2

C.

tan2θ=tan2θ1-tan2θ2

D.

cot2θ=cot2θ1+cot2θ2

Solution

tanθ1=tanθcos α
⇒  tanθ2=tanθcos(90-α)=tanθsin α
⇒ sin2α + cos2α = 1
⇒  cot2θ2 + cot2θ1 = cot2θ

Create a free account to view solution

View Solution Free
Topic: Physics miscellaneous·Practice all Physics miscellaneous questions

More Physics miscellaneous Questions

A cyclic process ABCDA is shown in the P - V diagram. Which of the following curves represent the same process :-...Which of the following statement is correct :-...What will be the colour of sky as seen from the earth, if there were no atmosphere :-...Volume charge density (ρ) of a nonuniformly charged solid sphere of radius R varies with the distance r from center...The speed of light in medium whose critical angle is 45o....