Physics-
General
Easy

Question

Two point white dots are 1mm apart on a black paper. They are viewed by eye of pupil diameter 3 mm. Approximately, what is the maximum distance at which dots can be resolved by the eye ? [Take wavelength of light = 500 nm]

  1. 6 m    
  2. 3 m    
  3. 5 m    
  4. 1 m    

The correct answer is: 5 m


    fraction numerator 1.22 lambda over denominator a end fraction equals fraction numerator x over denominator d end fraction rightwards double arrow d equals fraction numerator x cross times a over denominator 1.22 lambda end fraction equals fraction numerator 1 cross times 1 0 to the power of negative 3 end exponent cross times 3 cross times 1 0 to the power of negative 3 end exponent over denominator 1.22 cross times 500 cross times 1 0 to the power of negative 9 end exponent end fraction= 5m

    Related Questions to study

    General
    Maths-

    L t subscript x not stretchy rightwards arrow 0 end subscript fraction numerator x tan space 2 x minus 2 x tan space x over denominator left parenthesis 1 minus cos space 2 x right parenthesis squared end fraction

    We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 space o r space fraction numerator plus-or-minus infinity over denominator plus-or-minus infinity space. end fraction

    L t subscript x not stretchy rightwards arrow 0 end subscript fraction numerator x tan space 2 x minus 2 x tan space x over denominator left parenthesis 1 minus cos space 2 x right parenthesis squared end fraction

    Maths-General

    We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 space o r space fraction numerator plus-or-minus infinity over denominator plus-or-minus infinity space. end fraction

    General
    Maths-

    L t subscript x not stretchy rightwards arrow 0 end subscript fraction numerator log subscript e begin display style space end style open parentheses 1 plus x cubed close parentheses over denominator sin cubed begin display style space end style x end fraction

    We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means fraction numerator 0 over denominator 0 space end fraction o r space fraction numerator plus-or-minus infinity over denominator plus-or-minus infinity end fraction.

    L t subscript x not stretchy rightwards arrow 0 end subscript fraction numerator log subscript e begin display style space end style open parentheses 1 plus x cubed close parentheses over denominator sin cubed begin display style space end style x end fraction

    Maths-General

    We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means fraction numerator 0 over denominator 0 space end fraction o r space fraction numerator plus-or-minus infinity over denominator plus-or-minus infinity end fraction.

    General
    Maths-

    Lt subscript x not stretchy rightwards arrow 1 end subscript space fraction numerator cube root of x minus 1 over denominator x minus 1 end fraction

    We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 space o r space fraction numerator plus-or-minus infinity over denominator plus-or-minus infinity end fraction.

    Lt subscript x not stretchy rightwards arrow 1 end subscript space fraction numerator cube root of x minus 1 over denominator x minus 1 end fraction

    Maths-General

    We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 space o r space fraction numerator plus-or-minus infinity over denominator plus-or-minus infinity end fraction.

    parallel
    General
    physics-

    A container is filled with water (mu = 1.33) upto a height of 33.25 cm. A concave mirror is placed 15 cm above the water level and the image of an object placed at the bottom is formed 25 cm below the water level. The focal length of the mirror is

    A container is filled with water (mu = 1.33) upto a height of 33.25 cm. A concave mirror is placed 15 cm above the water level and the image of an object placed at the bottom is formed 25 cm below the water level. The focal length of the mirror is

    physics-General
    General
    physics-

    light source is located at P subscript 1 end subscript as shown in the figure. All sides of the polygon are equal. The intensity of illumination at P subscript 2 end subscript is I subscript 0 end subscript. What will be the intensity of illumination at P subscript 3 end subscript

    light source is located at P subscript 1 end subscript as shown in the figure. All sides of the polygon are equal. The intensity of illumination at P subscript 2 end subscript is I subscript 0 end subscript. What will be the intensity of illumination at P subscript 3 end subscript

    physics-General
    General
    physics-

    A container of volume 1m3 is divided into two equal compartments, one of which contains an ideal gas at 300 K The other compartment is vacuum The whole system is thermally isolated from its surroundings The partition is removed and the gas expands to occupy the whole volume of the container Its temperature now would be

    A container of volume 1m3 is divided into two equal compartments, one of which contains an ideal gas at 300 K The other compartment is vacuum The whole system is thermally isolated from its surroundings The partition is removed and the gas expands to occupy the whole volume of the container Its temperature now would be

    physics-General
    parallel
    General
    physics-

    Two moles of an ideal monoatomic gas at 27 to the power of ring operator end exponent C occupies a volume of V If the gas is expanded adiabatically to the volume 2V, then the work done by the gas will beleft parenthesis gamma equals 5 divided by 3 right parenthesis

    Two moles of an ideal monoatomic gas at 27 to the power of ring operator end exponent C occupies a volume of V If the gas is expanded adiabatically to the volume 2V, then the work done by the gas will beleft parenthesis gamma equals 5 divided by 3 right parenthesis

    physics-General
    General
    physics-

    One mole of an ideal gas undergoes an isothermal change at temperature 'T' so that its volume V is doubled R is the molar gas constant Work done by the gas during this change is

    One mole of an ideal gas undergoes an isothermal change at temperature 'T' so that its volume V is doubled R is the molar gas constant Work done by the gas during this change is

    physics-General
    General
    Maths-

    L t subscript x not stretchy rightwards arrow 0 end subscript fraction numerator sin begin display style space end style a x over denominator x cos space x end fraction

    We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 space o r space fraction numerator plus-or-minus infinity over denominator plus-or-minus infinity end fraction.

    L t subscript x not stretchy rightwards arrow 0 end subscript fraction numerator sin begin display style space end style a x over denominator x cos space x end fraction

    Maths-General

    We can only apply the L’Hospital’s rule if the direct substitution returns an indeterminate form, that means 0 over 0 space o r space fraction numerator plus-or-minus infinity over denominator plus-or-minus infinity end fraction.

    parallel
    General
    maths-

    Lt subscript x not stretchy rightwards arrow 3 end subscript space fraction numerator x minus 3 over denominator square root of open vertical bar x squared minus 9 close vertical bar end root end fraction

    Lt subscript x not stretchy rightwards arrow 3 end subscript space fraction numerator x minus 3 over denominator square root of open vertical bar x squared minus 9 close vertical bar end root end fraction

    maths-General
    General
    Maths-

    Lt subscript x not stretchy rightwards arrow 0 end subscript space x squared cos space 2 over x

    Lt subscript x not stretchy rightwards arrow 0 end subscript space x squared cos space 2 over x

    Maths-General
    General
    maths-

    Lt subscript x not stretchy rightwards arrow d end subscript space open parentheses fraction numerator 2 vertical line x vertical line over denominator x end fraction plus x plus 1 close parentheses

    Lt subscript x not stretchy rightwards arrow d end subscript space open parentheses fraction numerator 2 vertical line x vertical line over denominator x end fraction plus x plus 1 close parentheses

    maths-General
    parallel
    General
    maths-

    If x equals S e c invisible function application theta minus t a n invisible function application theta semicolon y equals c o s e c invisible function application theta plus c o t invisible function application theta then xy+1=

    If x equals S e c invisible function application theta minus t a n invisible function application theta semicolon y equals c o s e c invisible function application theta plus c o t invisible function application theta then xy+1=

    maths-General
    General
    physics-

    A wire of length 2 m is made from 10 cm3 of copper. A force F is applied so that its length increases by 2 mm. Another wire of length 8 m is made from the same volume of copper. If the force F is applied to it, its length will increase by….

    A wire of length 2 m is made from 10 cm3 of copper. A force F is applied so that its length increases by 2 mm. Another wire of length 8 m is made from the same volume of copper. If the force F is applied to it, its length will increase by….

    physics-General
    General
    Maths-

    L subscript t not stretchy rightwards arrow 2 end subscript fraction numerator vertical line x minus 2 vertical line over denominator x minus 2 end fraction

    The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign.

    L subscript t not stretchy rightwards arrow 2 end subscript fraction numerator vertical line x minus 2 vertical line over denominator x minus 2 end fraction

    Maths-General

    The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign.

    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.