General
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Physics-

A light ray is incident by grazing one of the face of a prism and after refraction ray does not emerge out, what should be the angle of prism while critical angle is C</em

Physics-General

  1. None of the above    
  2. More than 2C    
  3. Equal to 2C    
  4. Less than 2C    

    Answer:The correct answer is: More than 2C

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    General
    physics-

    A particle of mass m is rotating in a horizontal circle of radius R and is attached to a hanging mass M as shown in the figure. The speed of rotation required by the mass m keep M steady is

    To keep the mass M steady, let T is the tension in the string joining the two. Then for particle m comma
    T equals fraction numerator m v to the power of 2 end exponent over denominator R end fraction open parentheses i close parentheses
    For mass M comma
    T equals M g left parenthesis i i right parenthesis
    From Eqs. (i) and (ii)
    fraction numerator m v to the power of 2 end exponent over denominator R end fraction equals M g ⟹ v equals square root of fraction numerator M g R over denominator m end fraction end root

    A particle of mass m is rotating in a horizontal circle of radius R and is attached to a hanging mass M as shown in the figure. The speed of rotation required by the mass m keep M steady is

    physics-General
    To keep the mass M steady, let T is the tension in the string joining the two. Then for particle m comma
    T equals fraction numerator m v to the power of 2 end exponent over denominator R end fraction open parentheses i close parentheses
    For mass M comma
    T equals M g left parenthesis i i right parenthesis
    From Eqs. (i) and (ii)
    fraction numerator m v to the power of 2 end exponent over denominator R end fraction equals M g ⟹ v equals square root of fraction numerator M g R over denominator m end fraction end root
    General
    physics-

    Figure shows the variation of the stopping potential (V0) with the frequency (v) of theincident radiations for two different photosensitive material M1 and M2 .What are the values of work functions for M1 and M2 respectively

    Figure shows the variation of the stopping potential (V0) with the frequency (v) of theincident radiations for two different photosensitive material M1 and M2 .What are the values of work functions for M1 and M2 respectively

    physics-General
    General
    physics-

    A fighter plane enters inside the enemy territory, at time t equals 0 with velocity v subscript 0 end subscript equals 250 blank m s to the power of negative 1 end exponent and moves horizontally with constant acceleration a equals 20 m s to the power of negative 2 end exponent (see figure). An enemy tank at the border, spot the plane and fire shots at an angle theta equals 60 degree with the horizontal and with velocity u equals 600 blank m s to the power of negative 1 end exponent. At what altitude H of the plane it can be hit by the shot?

    If it is being hit then
    d equals v subscript 0 end subscript t plus fraction numerator 1 over denominator 2 end fraction a t to the power of 2 end exponent equals left parenthesis u cos invisible function application theta right parenthesis t
    or t equals fraction numerator u cos invisible function application theta minus v subscript 0 end subscript over denominator a divided by 2 end fraction

    therefore blank t equals fraction numerator 600 cross times fraction numerator 1 over denominator 2 end fraction minus 250 over denominator 10 end fraction equals 5 blank s
    H equals open parentheses u sin invisible function application theta close parentheses t minus fraction numerator 1 over denominator 2 end fraction cross times g t to the power of 2 end exponent
    equals 600 cross times fraction numerator square root of 3 over denominator 2 end fraction cross times 5 minus fraction numerator 1 over denominator 2 end fraction cross times 10 cross times 25
    H equals 2473 blank m

    A fighter plane enters inside the enemy territory, at time t equals 0 with velocity v subscript 0 end subscript equals 250 blank m s to the power of negative 1 end exponent and moves horizontally with constant acceleration a equals 20 m s to the power of negative 2 end exponent (see figure). An enemy tank at the border, spot the plane and fire shots at an angle theta equals 60 degree with the horizontal and with velocity u equals 600 blank m s to the power of negative 1 end exponent. At what altitude H of the plane it can be hit by the shot?

    physics-General
    If it is being hit then
    d equals v subscript 0 end subscript t plus fraction numerator 1 over denominator 2 end fraction a t to the power of 2 end exponent equals left parenthesis u cos invisible function application theta right parenthesis t
    or t equals fraction numerator u cos invisible function application theta minus v subscript 0 end subscript over denominator a divided by 2 end fraction

    therefore blank t equals fraction numerator 600 cross times fraction numerator 1 over denominator 2 end fraction minus 250 over denominator 10 end fraction equals 5 blank s
    H equals open parentheses u sin invisible function application theta close parentheses t minus fraction numerator 1 over denominator 2 end fraction cross times g t to the power of 2 end exponent
    equals 600 cross times fraction numerator square root of 3 over denominator 2 end fraction cross times 5 minus fraction numerator 1 over denominator 2 end fraction cross times 10 cross times 25
    H equals 2473 blank m
    General
    maths-

    If the normal at the point straight P left parenthesis theta right parenthesis to the ellipse x squared over 14 plus y squared over 5 equals 1 intersects it again at the point straight Q left parenthesis 2 theta right parenthesis, then cos space theta is

    If the normal at the point straight P left parenthesis theta right parenthesis to the ellipse x squared over 14 plus y squared over 5 equals 1 intersects it again at the point straight Q left parenthesis 2 theta right parenthesis, then cos space theta is

    maths-General
    General
    physics-

    The respective angles of the flint and crown glass prisms are A to the power of apostrophe and A. They are to be used for dispersion without deviation, then the ratio of their angles A apostrophe divided by A will be

    Since A left parenthesis mu subscript y end subscript minus 1 right parenthesis plus A to the power of ´ end exponent left parenthesis mu subscript y ´ end subscript minus 1 right parenthesis equals 0 rightwards double arrow fraction numerator A to the power of ´ end exponent over denominator A end fraction equals negative open parentheses fraction numerator mu subscript y end subscript minus 1 over denominator mu subscript y ´ end subscript minus 1 end fraction close parentheses

    The respective angles of the flint and crown glass prisms are A to the power of apostrophe and A. They are to be used for dispersion without deviation, then the ratio of their angles A apostrophe divided by A will be

    physics-General
    Since A left parenthesis mu subscript y end subscript minus 1 right parenthesis plus A to the power of ´ end exponent left parenthesis mu subscript y ´ end subscript minus 1 right parenthesis equals 0 rightwards double arrow fraction numerator A to the power of ´ end exponent over denominator A end fraction equals negative open parentheses fraction numerator mu subscript y end subscript minus 1 over denominator mu subscript y ´ end subscript minus 1 end fraction close parentheses
    General
    physics-

    The two lines A and B shown in figure are the agraphs of the de Broglie wavelength l as function of fraction numerator 1 over denominator square root of V end fraction (V is the accelerating potential) for two particles having the same charge
    Which of the two represents the particle of heavier mass ?

    The two lines A and B shown in figure are the agraphs of the de Broglie wavelength l as function of fraction numerator 1 over denominator square root of V end fraction (V is the accelerating potential) for two particles having the same charge
    Which of the two represents the particle of heavier mass ?

    physics-General
    General
    physics-

    The figures represent three cases of a ray passing through a prism of angle A. The case corresponding to minimum deviation is

    The figures represent three cases of a ray passing through a prism of angle A. The case corresponding to minimum deviation is

    physics-General
    General
    physics-

    In a photoelectric experiment anode potential is plotted against plate current

    In a photoelectric experiment anode potential is plotted against plate current

    physics-General
    General
    physics-

    From an inclined plane two particles are projected with same speed at same angle theta, one up and other down the plane as shown in figure. Which of the following statements left parenthesis s right parenthesis is/are correct?

    Here, alpha equals 2 theta comma beta equals theta

    Time of flight of A is, T subscript 1 end subscript equals fraction numerator 2 u sin invisible function application left parenthesis alpha minus beta right parenthesis over denominator g blank c o s blank beta end fraction
    equals fraction numerator 2 u sin invisible function application left parenthesis 2 theta minus theta right parenthesis over denominator g blank c o s blank theta end fraction equals fraction numerator 2 u over denominator g end fraction t a n invisible function application theta
    Time of flight of B is, T subscript 2 end subscript equals fraction numerator 2 u sin invisible function application theta over denominator g cos invisible function application theta end fraction equals fraction numerator 2 u over denominator g end fraction tan invisible function application theta
    So, T subscript 1 end subscript equals T subscript 2 end subscript. The acceleration of both the particles is g downwards. Therefore, relative acceleration between the two is zero or relative motion between the two is uniform. The relative velocity of A w.r.t. B is towards A B blank, therefore collision will take place between the two in mid air.

    From an inclined plane two particles are projected with same speed at same angle theta, one up and other down the plane as shown in figure. Which of the following statements left parenthesis s right parenthesis is/are correct?

    physics-General
    Here, alpha equals 2 theta comma beta equals theta

    Time of flight of A is, T subscript 1 end subscript equals fraction numerator 2 u sin invisible function application left parenthesis alpha minus beta right parenthesis over denominator g blank c o s blank beta end fraction
    equals fraction numerator 2 u sin invisible function application left parenthesis 2 theta minus theta right parenthesis over denominator g blank c o s blank theta end fraction equals fraction numerator 2 u over denominator g end fraction t a n invisible function application theta
    Time of flight of B is, T subscript 2 end subscript equals fraction numerator 2 u sin invisible function application theta over denominator g cos invisible function application theta end fraction equals fraction numerator 2 u over denominator g end fraction tan invisible function application theta
    So, T subscript 1 end subscript equals T subscript 2 end subscript. The acceleration of both the particles is g downwards. Therefore, relative acceleration between the two is zero or relative motion between the two is uniform. The relative velocity of A w.r.t. B is towards A B blank, therefore collision will take place between the two in mid air.
    General
    physics-

    Two particles 1 and 2 are projected with same speed v as shown in figure. Particle 2 is on the ground and particle 1 is at a height h from the ground and at a horizontal distance s from particle 2. If a graph is plotted between v and s for the condition of collision of the two then (v on y-axis and s on x-axis

    Assuming particle 2 to be at rest, substituting in
    y equals x tan invisible function application theta minus fraction numerator g x to the power of 2 end exponent over denominator 2 u to the power of 2 end exponent cos to the power of 2 end exponent invisible function application theta end fraction blank left parenthesis theta equals 0 degree right parenthesis

    We have negative h equals fraction numerator negative g over denominator 2 left parenthesis 4 v to the power of 2 end exponent right parenthesis end fraction
    or v equals square root of fraction numerator g over denominator 8 h end fraction end root
    Which is a straight line passing through origin with slopesquare root of fraction numerator g over denominator 8 h end fraction end root

    Two particles 1 and 2 are projected with same speed v as shown in figure. Particle 2 is on the ground and particle 1 is at a height h from the ground and at a horizontal distance s from particle 2. If a graph is plotted between v and s for the condition of collision of the two then (v on y-axis and s on x-axis

    physics-General
    Assuming particle 2 to be at rest, substituting in
    y equals x tan invisible function application theta minus fraction numerator g x to the power of 2 end exponent over denominator 2 u to the power of 2 end exponent cos to the power of 2 end exponent invisible function application theta end fraction blank left parenthesis theta equals 0 degree right parenthesis

    We have negative h equals fraction numerator negative g over denominator 2 left parenthesis 4 v to the power of 2 end exponent right parenthesis end fraction
    or v equals square root of fraction numerator g over denominator 8 h end fraction end root
    Which is a straight line passing through origin with slopesquare root of fraction numerator g over denominator 8 h end fraction end root
    General
    physics-

    A small particle of mass m blankis projected at an angle theta with the x-axis with an initial velocity v subscript 0 end subscript in the x-y plane as shown in the figure. A t blank a blank t i m e blank t less than fraction numerator v subscript 0 end subscript sin invisible function application theta over denominator g end fraction comma the angular momentum of the particle is

    L equals m open parentheses r cross times v close parentheses
    L equals m open square brackets v subscript 0 end subscript c o s theta blank t stack stack i with dot on top with hat on top plus open parentheses v subscript 0 end subscript s i n theta blank t minus fraction numerator 1 over denominator 2 end fraction g t to the power of 2 end exponent close parentheses stack stack j with dot on top with hat on top close square brackets
    cross times open square brackets v subscript 0 end subscript c o s theta blank stack stack i with dot on top with hat on top plus open parentheses v subscript 0 end subscript s i n theta minus g t close parentheses stack stack j with dot on top with hat on top close square brackets
    equals m v subscript 0 end subscript c o s theta blank t open square brackets negative fraction numerator 1 over denominator 2 end fraction g t close square brackets stack k with hat on top
    equals negative fraction numerator 1 over denominator 2 end fraction m g v subscript 0 end subscript t to the power of 2 end exponent c o s theta stack k with hat on top

    A small particle of mass m blankis projected at an angle theta with the x-axis with an initial velocity v subscript 0 end subscript in the x-y plane as shown in the figure. A t blank a blank t i m e blank t less than fraction numerator v subscript 0 end subscript sin invisible function application theta over denominator g end fraction comma the angular momentum of the particle is

    physics-General
    L equals m open parentheses r cross times v close parentheses
    L equals m open square brackets v subscript 0 end subscript c o s theta blank t stack stack i with dot on top with hat on top plus open parentheses v subscript 0 end subscript s i n theta blank t minus fraction numerator 1 over denominator 2 end fraction g t to the power of 2 end exponent close parentheses stack stack j with dot on top with hat on top close square brackets
    cross times open square brackets v subscript 0 end subscript c o s theta blank stack stack i with dot on top with hat on top plus open parentheses v subscript 0 end subscript s i n theta minus g t close parentheses stack stack j with dot on top with hat on top close square brackets
    equals m v subscript 0 end subscript c o s theta blank t open square brackets negative fraction numerator 1 over denominator 2 end fraction g t close square brackets stack k with hat on top
    equals negative fraction numerator 1 over denominator 2 end fraction m g v subscript 0 end subscript t to the power of 2 end exponent c o s theta stack k with hat on top
    General
    physics-

    a) Name the experiment for which the adjacent graph, showing the variation of intensity of scattered electrons with the angle of scatter ing (q) was obtained.
    b) Also name the important hypothesis that was confirmed by this experiment

    a) Name the experiment for which the adjacent graph, showing the variation of intensity of scattered electrons with the angle of scatter ing (q) was obtained.
    b) Also name the important hypothesis that was confirmed by this experiment

    physics-General
    General
    physics-

    A ray of light passes through an equilateral glass prism in such a manner that the angle of incidence is equal to the angle of emergence and each of these angles is equal to 3/4 of the angle of the prism. The angle of deviation is

    Is a band spectrum
    In the position of minimum deviation
    2 i equals A plus delta subscript m end subscript or delta subscript m end subscript equals 2 i minus A equals 90 minus 60 equals 3 0 to the power of o end exponent

    A ray of light passes through an equilateral glass prism in such a manner that the angle of incidence is equal to the angle of emergence and each of these angles is equal to 3/4 of the angle of the prism. The angle of deviation is

    physics-General
    Is a band spectrum
    In the position of minimum deviation
    2 i equals A plus delta subscript m end subscript or delta subscript m end subscript equals 2 i minus A equals 90 minus 60 equals 3 0 to the power of o end exponent
    General
    physics-

    Three identical particles are joined together by a thread as shown in figure. All the three particles are moving in a horizontal plane. If the velocity of the outermost particle is v subscript 0 end subscript, then the ratio of tensions in the three sections of the string is

    Let omega is the angular speed of revolution

    T subscript 3 end subscript equals m omega to the power of 2 end exponent 3 l
    T subscript 2 end subscript minus T subscript 3 end subscript equals m omega to the power of 2 end exponent 2 l rightwards double arrow T subscript 2 end subscript equals m omega to the power of 2 end exponent 5 l
    T subscript 1 end subscript minus T subscript 2 end subscript equals m omega to the power of 2 end exponent l rightwards double arrow T subscript 1 end subscript equals m omega to the power of 2 end exponent 6 l
    T subscript 3 end subscript colon T subscript 2 end subscript colon T subscript 1 end subscript equals 3 blank colon 5 blank colon 6

    Three identical particles are joined together by a thread as shown in figure. All the three particles are moving in a horizontal plane. If the velocity of the outermost particle is v subscript 0 end subscript, then the ratio of tensions in the three sections of the string is

    physics-General
    Let omega is the angular speed of revolution

    T subscript 3 end subscript equals m omega to the power of 2 end exponent 3 l
    T subscript 2 end subscript minus T subscript 3 end subscript equals m omega to the power of 2 end exponent 2 l rightwards double arrow T subscript 2 end subscript equals m omega to the power of 2 end exponent 5 l
    T subscript 1 end subscript minus T subscript 2 end subscript equals m omega to the power of 2 end exponent l rightwards double arrow T subscript 1 end subscript equals m omega to the power of 2 end exponent 6 l
    T subscript 3 end subscript colon T subscript 2 end subscript colon T subscript 1 end subscript equals 3 blank colon 5 blank colon 6
    General
    physics-

    A prism ABC of angle 30° has its face AC silvered. A ray of light incident at an angle of 45° at the face AB retraces its path after refraction at face AB and reflection at face AC. The refractive index of the material of the prism is

    A prism ABC of angle 30° has its face AC silvered. A ray of light incident at an angle of 45° at the face AB retraces its path after refraction at face AB and reflection at face AC. The refractive index of the material of the prism is

    physics-General