Physics-
General
Easy

Question

Three particles A, B and C are projected from the same point with the same initial speeds making angles30 degree, 45 degree and 60 degree respectively with the horizontally. Which of the following statements is correct?

  1. A,B and C have unequal ranges  
  2. Range of A and C are less than that of B  
  3. Range of A and C are equal and greater than that of B  
  4. A,B and C have equal ranges  

The correct answer is: Range of A and C are less than that of B


    When a body is projected at an angle theta with the horizontal with initial velocity u, then the horizontal range R of projectile is
    R equals fraction numerator u to the power of 2 end exponent sin invisible function application 2 theta over denominator g end fraction
    Clearly, for maximum horizontal range sin invisible function application 2 theta equals 1 blank o r blank 2 theta equals 90 degree blank o r blank theta equals 45 degree. blank Hence, in order to achieve maximum range, the body should be projected at 45 degree.
    In this case
    R subscript m a x end subscript equals fraction numerator u to the power of 2 end exponent over denominator g end fraction
    Hence, range of A and C are less than that of B.

    Related Questions to study

    General
    Physics-

    An electric fan has blades of length 30 cm as measured from the axis of rotation. If the fan is rotating at 1200 rpm, the acceleration of a point on the tip of the blade is about

    An electric fan has blades of length 30 cm as measured from the axis of rotation. If the fan is rotating at 1200 rpm, the acceleration of a point on the tip of the blade is about

    Physics-General
    General
    Physics-

    A plumb line is suspended from a ceiling of a car moving with horizontal acceleration ofa. What will be the angle of inclination with vertical?

    A plumb line is suspended from a ceiling of a car moving with horizontal acceleration ofa. What will be the angle of inclination with vertical?

    Physics-General
    General
    Physics-

    A ball is projected upwards from the top of tower with a velocity 50 blank m s to the power of negative 1 end exponent making an angle 30 degree with the horizontal. The height of tower is 70 blank m. After how many seconds from the instant of throwing will the ball reach the ground

    A ball is projected upwards from the top of tower with a velocity 50 blank m s to the power of negative 1 end exponent making an angle 30 degree with the horizontal. The height of tower is 70 blank m. After how many seconds from the instant of throwing will the ball reach the ground

    Physics-General
    parallel
    General
    Physics-

    A particle starts from the origin of coordinates at time t equals 0 and moves in the x minus y plane with a constant acceleration alpha in the y-diretion. Its equation of motion is y equals beta x to the power of 2 end exponent. Its velocity component in the x-direction is

    A particle starts from the origin of coordinates at time t equals 0 and moves in the x minus y plane with a constant acceleration alpha in the y-diretion. Its equation of motion is y equals beta x to the power of 2 end exponent. Its velocity component in the x-direction is

    Physics-General
    General
    Physics-

    An object is projected at an angle of 45 degree with the horizontal. The horizontal range and the maximum height reached will be in the ratio

    An object is projected at an angle of 45 degree with the horizontal. The horizontal range and the maximum height reached will be in the ratio

    Physics-General
    General
    Physics-

    For a given velocity, a projectile has the same range R for two angles of projection if t subscript 1 end subscript and t subscript 2 end subscript are the times of flight in the two cases then

    For a given velocity, a projectile has the same range R for two angles of projection if t subscript 1 end subscript and t subscript 2 end subscript are the times of flight in the two cases then

    Physics-General
    parallel
    General
    Physics-

    A car runs at a constant speed on a circular track of radius 100blank m comma taking 62.8 s e c o n d s for every circular loop. The average velocity and average speed for each circular loop respectively is

    A car runs at a constant speed on a circular track of radius 100blank m comma taking 62.8 s e c o n d s for every circular loop. The average velocity and average speed for each circular loop respectively is

    Physics-General
    General
    Physics-

    Given that A and B are greater than 1. The magnitude of left parenthesis stack A with rightwards arrow on top cross times stack B with rightwards arrow on top right parenthesis can not be

    Given that A and B are greater than 1. The magnitude of left parenthesis stack A with rightwards arrow on top cross times stack B with rightwards arrow on top right parenthesis can not be

    Physics-General
    General
    Physics-

    A body of mass 0.5 blank k g is projected under gravity with a speed of 98 blank m divided by s at an angle of 30 degree with the horizontal. The change in momentum (in magnitude) of the body is

    A body of mass 0.5 blank k g is projected under gravity with a speed of 98 blank m divided by s at an angle of 30 degree with the horizontal. The change in momentum (in magnitude) of the body is

    Physics-General
    parallel
    General
    General

    Solution of 3 x minus 5 less or equal than 7 is xelement of

    Solution of 3 x minus 5 less or equal than 7 is xelement of

    GeneralGeneral
    General
    Physics-

    A particle comes round a circle of radius 1 blank m once. The time taken by it is 10 blank s e c. blankThe average velocity of motion is

    A particle comes round a circle of radius 1 blank m once. The time taken by it is 10 blank s e c. blankThe average velocity of motion is

    Physics-General
    General
    Physics-

    After one second the velocity of a projectile makes an angle of 45 degree with the horizontal. After another one second it is travelling horizontally. The magnitude of its initial velocity and angle of projection are left parenthesis g equals 10 blank m s to the power of negative 2 end exponent right parenthesis

    After one second the velocity of a projectile makes an angle of 45 degree with the horizontal. After another one second it is travelling horizontally. The magnitude of its initial velocity and angle of projection are left parenthesis g equals 10 blank m s to the power of negative 2 end exponent right parenthesis

    Physics-General
    parallel
    General
    Physics-

    Toy cart tied to the end of an unstretched string of length a, when revolved moves in a horizontal circle of radius 2 a with a time period T. Now the toy cart is speeded up until it moves in a horizontal circle of radius 3 a with a period T ´. If Hook’s law holds then

    Toy cart tied to the end of an unstretched string of length a, when revolved moves in a horizontal circle of radius 2 a with a time period T. Now the toy cart is speeded up until it moves in a horizontal circle of radius 3 a with a period T ´. If Hook’s law holds then

    Physics-General
    General
    Physics-

    A heavy small sized sphere is suspended by a string of length l. The sphere is rotated uniformly in a horizontal circle with the string making an angle theta with the vertical. The time period of this conical pendulum is

    A heavy small sized sphere is suspended by a string of length l. The sphere is rotated uniformly in a horizontal circle with the string making an angle theta with the vertical. The time period of this conical pendulum is

    Physics-General
    General
    Physics-

    A vector stack F subscript 1 end subscript with rightwards arrow on top is along the positive Y-axis. If its vector product with another vector stack F subscript 1 end subscript with rightwards arrow on top is zero, then stack F subscript 2 end subscript with rightwards arrow on top could be

    A vector stack F subscript 1 end subscript with rightwards arrow on top is along the positive Y-axis. If its vector product with another vector stack F subscript 1 end subscript with rightwards arrow on top is zero, then stack F subscript 2 end subscript with rightwards arrow on top could be

    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.