Physics-
General
Easy

Question

Two coherent sources separated by distance d are radiating in phase having wavelength lambda. A detector moves in a big circle around the two sources in the plane of the two sources. The angular position of n = 4 interference maxima is given as

  1. sin to the power of negative 1 end exponent invisible function application fraction numerator n lambda over denominator d end fraction    
  2. cos to the power of negative 1 end exponent invisible function application fraction numerator 4 lambda over denominator d end fraction    
  3. tan to the power of negative 1 end exponent invisible function application fraction numerator d over denominator 4 lambda end fraction    
  4. cos to the power of negative 1 end exponent invisible function application fraction numerator lambda over denominator 4 d end fraction    

The correct answer is: cos to the power of negative 1 end exponent invisible function application fraction numerator 4 lambda over denominator d end fraction


    Here path difference at a point P on the circle is given by

    capital delta x equals d cos invisible function application theta (i)
    For maxima at P
    capital delta x equals n lambda (ii)
    From equation (i) and (ii)
    n lambda equals d cos invisible function application theta rightwards double arrow theta cos to the power of negative 1 end exponent invisible function application open parentheses fraction numerator n lambda over denominator d end fraction close parentheses equals cos to the power of negative 1 end exponent invisible function application open parentheses fraction numerator 4 lambda over denominator d end fraction close parentheses

    Related Questions to study

    General
    Physics-

    A beam with wavelength lambda falls on a stack of partially reflecting planes with separation d. The angle theta that the beam should make with the planes so that the beams reflected from successive planes may interfere constructively is (where n =1, 2, ……)

    A beam with wavelength lambda falls on a stack of partially reflecting planes with separation d. The angle theta that the beam should make with the planes so that the beams reflected from successive planes may interfere constructively is (where n =1, 2, ……)

    Physics-General
    General
    Physics-

    Two point sources X and Y emit waves of same frequency and speed but Y lags in phase behind X by 2pil radian. If there is a maximum in direction D the distance XO using n as an integer is given by

    Two point sources X and Y emit waves of same frequency and speed but Y lags in phase behind X by 2pil radian. If there is a maximum in direction D the distance XO using n as an integer is given by

    Physics-General
    General
    Physics-

    Two ideal slits S1 and S2 are at a distance d apart, and illuminated by light of wavelength lambda passing through an ideal source slit S placed on the line through S2 as shown. The distance between the planes of slits and the source slit is D. A screen is held at a distance D from the plane of the slits. The minimum value of d for which there is darkness at O is

    Two ideal slits S1 and S2 are at a distance d apart, and illuminated by light of wavelength lambda passing through an ideal source slit S placed on the line through S2 as shown. The distance between the planes of slits and the source slit is D. A screen is held at a distance D from the plane of the slits. The minimum value of d for which there is darkness at O is

    Physics-General
    parallel
    General
    Physics-

    A monochromatic beam of light falls on YDSE apparatus at some angle (say theta) as shown in figure. A thin sheet of glass is inserted in front of the lower slit S2. The central bright fringe (path difference = 0) will be obtained

    A monochromatic beam of light falls on YDSE apparatus at some angle (say theta) as shown in figure. A thin sheet of glass is inserted in front of the lower slit S2. The central bright fringe (path difference = 0) will be obtained

    Physics-General
    General
    Chemistry-

    Given  The number of electrons present in l = 2 is

    Given  The number of electrons present in l = 2 is

    Chemistry-General
    General
    Maths-

    Plot A(3,-5) on a carteaion plane.

    Plot A(3,-5) on a carteaion plane.

    Maths-General
    parallel
    General
    Maths-

    If m is a non-zero number and integral subscript blank superscript blank fraction numerator x to the power of 5 m minus 1 end exponent plus 2 x to the power of 4 m minus 1 end exponent over denominator left parenthesis x to the power of 2 m end exponent plus x to the power of m plus 1 right parenthesis cubed end fraction equals f left parenthesis x right parenthesis plus c, then f(x) is:

    If m is a non-zero number and integral subscript blank superscript blank fraction numerator x to the power of 5 m minus 1 end exponent plus 2 x to the power of 4 m minus 1 end exponent over denominator left parenthesis x to the power of 2 m end exponent plus x to the power of m plus 1 right parenthesis cubed end fraction equals f left parenthesis x right parenthesis plus c, then f(x) is:

    Maths-General
    General
    Maths-

    The integral integral subscript blank superscript blank fraction numerator d x over denominator left parenthesis x plus 1 right parenthesis to the power of 3 divided by 4 end exponent left parenthesis x minus 2 right parenthesis to the power of 5 divided by 4 end exponent end fraction equal

    The integral integral subscript blank superscript blank fraction numerator d x over denominator left parenthesis x plus 1 right parenthesis to the power of 3 divided by 4 end exponent left parenthesis x minus 2 right parenthesis to the power of 5 divided by 4 end exponent end fraction equal

    Maths-General
    General
    Maths-

    If not stretchy integral subscript blank superscript blank fraction numerator 2 s i n x plus 3 c o s x over denominator blank c o s blank x left parenthesis s i n to the power of 2 end exponent x plus 2 c o s to the power of 2 end exponent x right parenthesis end fraction d x equals logvertical linef(x)vertical line plus lambda t a n to the power of negative 1 end exponent left parenthesis fraction numerator blank t a n blank x over denominator square root of 2 end fraction right parenthesis plus c comma then left parenthesis lambda f right parenthesis equals

    If not stretchy integral subscript blank superscript blank fraction numerator 2 s i n x plus 3 c o s x over denominator blank c o s blank x left parenthesis s i n to the power of 2 end exponent x plus 2 c o s to the power of 2 end exponent x right parenthesis end fraction d x equals logvertical linef(x)vertical line plus lambda t a n to the power of negative 1 end exponent left parenthesis fraction numerator blank t a n blank x over denominator square root of 2 end fraction right parenthesis plus c comma then left parenthesis lambda f right parenthesis equals

    Maths-General
    parallel
    General
    Maths-

    An incomplete frequency distribution is given below Median value is 46, the missing frequency is

    An incomplete frequency distribution is given below Median value is 46, the missing frequency is

    Maths-General
    General
    Physics-

    In the adjacent diagram, CP represents a wave front and AO & BP, the corresponding two rays. Find the condition on q for constructive interference at P between the ray BP and reflected ray OP

    In the adjacent diagram, CP represents a wave front and AO & BP, the corresponding two rays. Find the condition on q for constructive interference at P between the ray BP and reflected ray OP

    Physics-General
    General
    Physics-

    A thin slice is cut out of a glass cylinder along a plane parallel to its axis. The slice is placed on a flat glass plate as shown. The observed interference fringes from this combination shall be

    A thin slice is cut out of a glass cylinder along a plane parallel to its axis. The slice is placed on a flat glass plate as shown. The observed interference fringes from this combination shall be

    Physics-General
    parallel
    General
    Physics-

    A ray of light of intensity I is incident on a parallel glass-slab at a point A as shown in fig. It undergoes partial reflection and refraction. At each reflection 25% of incident energy is reflected. The rays AB and A'B' undergo interference. The ratio I m i n subscript m a x end subscript is

    A ray of light of intensity I is incident on a parallel glass-slab at a point A as shown in fig. It undergoes partial reflection and refraction. At each reflection 25% of incident energy is reflected. The rays AB and A'B' undergo interference. The ratio I m i n subscript m a x end subscript is

    Physics-General
    General
    Physics-

    AB is incident wave front on mirror R and mirror S whereas PQ and P ´ Q ´ is reflected wave front from mirror R and mirror S respectively. Choose the correct statement

    AB is incident wave front on mirror R and mirror S whereas PQ and P ´ Q ´ is reflected wave front from mirror R and mirror S respectively. Choose the correct statement

    Physics-General
    General
    Physics-

    In the diagram shown, the separation between the slit is equal to 3 lambda comma where lambda is the wavelength of the light incident on the plane of the slits A thin film of thickness 3 lambda and refractive index 2 has been placed in the front of the upper slit. Assuming D greater than greater than lambda the distance of the central maxima on the screen from O is:

    In the diagram shown, the separation between the slit is equal to 3 lambda comma where lambda is the wavelength of the light incident on the plane of the slits A thin film of thickness 3 lambda and refractive index 2 has been placed in the front of the upper slit. Assuming D greater than greater than lambda the distance of the central maxima on the screen from O is:

    Physics-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.