Physics-
General
Easy

Question

A particle P is sliding down a frictionless hemispherical bowl. It passes the point Aat t equals 0. At this instant of time, the horizontal component of its velocity v. A bead Q of the same mass as P is ejected from A to t equals 0 along the horizontal string A B (see figure) with the speed v. Friction between the bead and the string may be neglected. Let t subscript p end subscript and t subscript Q end subscript be the respective time taken by P and Q to reach the point B. Then

  1. t subscript p end subscript less than t subscript Q end subscript    
  2. t subscript p end subscript equals t subscript Q end subscript    
  3. t subscript p end subscript greater than t subscript Q end subscript    
  4. All of these    

The correct answer is: t subscript p end subscript less than t subscript Q end subscript


    For particle P, motion between A and C will be an accelerated one while between C and B a retarded one. But in any case horizontal component of it’s velocity will be greater than or equal to v on the other hand in case of particle Q, it is always equal to v. Horizontal displacement of both the particles are equal, so t subscript P end subscript less than t subscript Q end subscript

    Related Questions to study

    General
    Maths-

    If the chords of contact of P space open parentheses x subscript 1 comma y subscript 1 close parentheses and Q space open parentheses x subscript 2 comma y subscript 2 close parentheses w.r.t the ellipse fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction plus fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction equals 1 are at right angle then fraction numerator x subscript 1 end subscript x subscript 2 end subscript over denominator y subscript 1 end subscript y subscript 2 end subscript end fraction equals

    If the chords of contact of P space open parentheses x subscript 1 comma y subscript 1 close parentheses and Q space open parentheses x subscript 2 comma y subscript 2 close parentheses w.r.t the ellipse fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction plus fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction equals 1 are at right angle then fraction numerator x subscript 1 end subscript x subscript 2 end subscript over denominator y subscript 1 end subscript y subscript 2 end subscript end fraction equals

    Maths-General
    General
    Maths-

    The area of an ellipse is 8π sq. units dist. between the foci is 4 square root of 3 then e=

    The area of an ellipse is 8π sq. units dist. between the foci is 4 square root of 3 then e=

    Maths-General
    General
    Physics-

    A point P moves in counter-clockwise direction on a circular path as shown in the figure. The movement of ´ ´ P ´ ´ is such that it sweeps out a length s equals t to the power of 3 end exponent plus 5, where s is in metres and t is in seconds. The radius of the path is 20 blank m. The acceleration of ´ ´ P ´ ´ when t equals 2 s is nearly

    A point P moves in counter-clockwise direction on a circular path as shown in the figure. The movement of ´ ´ P ´ ´ is such that it sweeps out a length s equals t to the power of 3 end exponent plus 5, where s is in metres and t is in seconds. The radius of the path is 20 blank m. The acceleration of ´ ´ P ´ ´ when t equals 2 s is nearly

    Physics-General
    parallel
    General
    physics-

    In a two dimensional motion of a particle, the particle moves from point A, position vector stack r with rightwards arrow on top subscript 1 end subscript. If the magnitudes of these vectors are respectively, r subscript 1 end subscript=3 and r subscript 2 end subscript equals 4 and the angles they make with the x-axis are theta subscript 1 end subscript equals 75 degree and 15degree, respectively, then find the magnitude of the displacement vector

    In a two dimensional motion of a particle, the particle moves from point A, position vector stack r with rightwards arrow on top subscript 1 end subscript. If the magnitudes of these vectors are respectively, r subscript 1 end subscript=3 and r subscript 2 end subscript equals 4 and the angles they make with the x-axis are theta subscript 1 end subscript equals 75 degree and 15degree, respectively, then find the magnitude of the displacement vector

    physics-General
    General
    physics-

    A block(B) is attached to two unstretched springs S subscript 1 end subscript a n d blank S subscript 2 end subscript with springs constants k blank a n d blank 4 k commarepresentively (see Fig. I) The other ends are attached to identical supports M subscript 1 end subscript and M subscript 2 end subscript not attached to the walls. The springs and supports have negligible mass. There is no friction anywhere. The block B is displaced towards wall I by small distance x left parenthesis F i g blank I I right parenthesis and released. The block returns and moves a maximum distance y towards wall 2.Displacements x blank a n d blank y are measured with respect to the equilibrium position of the block B The ratio fraction numerator y over denominator x end fraction is

    A block(B) is attached to two unstretched springs S subscript 1 end subscript a n d blank S subscript 2 end subscript with springs constants k blank a n d blank 4 k commarepresentively (see Fig. I) The other ends are attached to identical supports M subscript 1 end subscript and M subscript 2 end subscript not attached to the walls. The springs and supports have negligible mass. There is no friction anywhere. The block B is displaced towards wall I by small distance x left parenthesis F i g blank I I right parenthesis and released. The block returns and moves a maximum distance y towards wall 2.Displacements x blank a n d blank y are measured with respect to the equilibrium position of the block B The ratio fraction numerator y over denominator x end fraction is

    physics-General
    General
    physics-

    A small roller coaster starts at point A with a speed u blankon a curved track as shown in the figure.
    The friction between the roller coaster and the track is negligible and it always remains in contact with the track. The speed of roller coaster at point D blankon the track will be

    A small roller coaster starts at point A with a speed u blankon a curved track as shown in the figure.
    The friction between the roller coaster and the track is negligible and it always remains in contact with the track. The speed of roller coaster at point D blankon the track will be

    physics-General
    parallel
    General
    Physics-

    A body of mass m is moving with a uniform speed v along a circle of radius r, what is the average acceleration in going from A to B?

    A body of mass m is moving with a uniform speed v along a circle of radius r, what is the average acceleration in going from A to B?

    Physics-General
    General
    physics-

    A body of mass M is moving with a uniform speed of 10 blank m divided by s on friction less surface under the influence of two forces F subscript 1 end subscriptand F subscript 2 end subscript. The net power of the system is

    A body of mass M is moving with a uniform speed of 10 blank m divided by s on friction less surface under the influence of two forces F subscript 1 end subscriptand F subscript 2 end subscript. The net power of the system is

    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 is/are correct?

    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 is/are correct?

    physics-General
    parallel
    General
    physics-

    A particle of a mass 0.1 blank k g is subjected to a force which varies with distance as shown in fig. If it starts its journey from rest at x equals 0, its velocity at x equals 12 blank m is

    A particle of a mass 0.1 blank k g is subjected to a force which varies with distance as shown in fig. If it starts its journey from rest at x equals 0, its velocity at x equals 12 blank m is

    physics-General
    General
    maths-

    P is a point on the ellipse fraction numerator x to the power of 2 end exponent over denominator 36 end fraction plus fraction numerator y to the power of 2 end exponent over denominator 9 end fraction equals 1, S and S to the power of 1 end exponent are the focii of the ellipse then S P plus S to the power of l end exponent P equals

    P is a point on the ellipse fraction numerator x to the power of 2 end exponent over denominator 36 end fraction plus fraction numerator y to the power of 2 end exponent over denominator 9 end fraction equals 1, S and S to the power of 1 end exponent are the focii of the ellipse then S P plus S to the power of l end exponent P equals

    maths-General
    General
    physics-

    As per given future to complete the circular loop what should be the radius if initial height is 5 blank m

    As per given future to complete the circular loop what should be the radius if initial height is 5 blank m

    physics-General
    parallel
    General
    physics-

    Figure shows four paths for a kicked football. Ignoring the effects of air on the flight, rank the paths according to initial horizontal velocity component, highest first

    Figure shows four paths for a kicked football. Ignoring the effects of air on the flight, rank the paths according to initial horizontal velocity component, highest first

    physics-General
    General
    maths-

    The area of the region bounded byblank y equals open vertical bar x minus 1 close vertical bar blank and y=1 in sq. units is

    The area of the region bounded byblank y equals open vertical bar x minus 1 close vertical bar blank and y=1 in sq. units is

    maths-General
    General
    maths-

    Area of the region bounded byblank y equals open vertical bar x close vertical bar blankand y=2 is

    Area of the region bounded byblank y equals open vertical bar x close vertical bar blankand y=2 is

    maths-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.