An inclined track ends in a circular loop of diameter ‘D’. From what height on the track a particle should be released so that it completes that loop in the vertical plane?

Two polarizing sheets have their transmission axes crossed so that no light is transmitted. A third sheet is inserted so that its transmission axis makes an angle&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>θ</mi></math>&nbsp;with the transmission axis of the first sheet. If the middle polarizing sheet is rotating at an angular speed&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ω</mi></math>&nbsp;about an axis parallel with the light beam, find an expression for the final intensity transmitted (after passing through all three sheets) as a function of time. (Original intensity was&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>I</mi><mn>0</mn></msub></math>&nbsp;) (unpolarized)

A parallel beam of natural light is incident at an angle of 580 on a plane glass surface. The reflected beam is completely linearly polarized. a) What is the angle of refraction of the transmitted beam? b) What is the refractive index of the glass?

Unpolarized light of intensity I is incident on a polarizer and the emerging light strikes a second polarizing filter with its axis at 450 to that of the first. Determine a) the intensity of the emerging beam and b) its state of polarization

Given below are two statements : Statement I : If the Brewster’s angle for the light propagating from air to glass is&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi mathvariant="normal">θ</mi><mi mathvariant="normal">B</mi></msub></math>&nbsp;. Then the Brewster’s angle for the light propagating from glass to air is&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi mathvariant="normal">π</mi><mn>2</mn></mfrac><mo>−</mo><msub><mi mathvariant="normal">θ</mi><mi mathvariant="normal">B</mi></msub></math>. Statement II : The Brewster’s angle for the light propagating from glass to air is&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>tan</mi><mrow><mo>−</mo><mn>1</mn></mrow></msup><mo>⁡</mo><mfenced separators="|"><msub><mi mathvariant="normal">μ</mi><mi mathvariant="normal">g</mi></msub></mfenced></math>&nbsp;where&nbsp;<math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced separators="|"><msub><mi mathvariant="normal">μ</mi><mi mathvariant="normal">g</mi></msub></mfenced></math>&nbsp;is the refractive index of glass. In the light of the above statements, choose the correct answer from the options given below : &nbsp;

A body of mass 2 kg is accelerated from rest to a velocity of 20 m s–1 in 5 s. What is the work done and power consumed?

An inclined track ends in a circular loop of diameter ‘D’. From what height on the track a particle should be released so that it completes that loop in the vertical plane?

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material