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Motion in a Straight Line Test 7

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Motion in a Straight Line Test 7
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  • Question 1
    1 / -0

    Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.

    Assertion : A body may be accelerated even when it is moving uniformly.

    Reason : When the direction of motion of the body is changing, the body must have acceleration.

    Solution

    In uniform circular motion, there is acceleration of constant magnitude.

  • Question 2
    1 / -0

    Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.

    Assertion : For one dimensional motion the angle between acceleration and velocity must be zero.

    Reason : One dimensional motion is always on a straight line.

    Solution

    One dimensional motion is always along straight line. But acceleration may be opposite of velocity and so angle between them will be 180°.

  • Question 3
    1 / -0

    Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.

    Assertion : The position-time graph of a uniform motion, in one dimension of a body cannot have negative slope.

    Reason : In one – dimensional motion the position does not reverse, so it cannot have a negative slope.

    Solution

    The negative slope of the position-time graph represents that the body is moving towards the negative direction. Thus the assertion is correct. But if the slope of the graph decrease with time then it represents the decrease in speed i.e. retardation in motion. So, the constant negative slope of the position-time graph can not represent the decrease in speed. Therefore, the reason is incorrect.

  • Question 4
    1 / -0

    Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.

    Assertion : Velocity-time graph for an object in uniform motion along a straight path is a straight line parallel to the time axis.

    Reason : In uniform motion of an object velocity increases as the square of time elapsed.

    Solution

    In uniform motion the object moves with uniform velocity, the magnitude of its velocity at different instance i.e., at t = 0, t =1, sec, t = 2sec ….. will always be constant. Thus velocity-time graph for an object in uniform motion along a straight path is a straight line parallel to time axis.

  • Question 5
    1 / -0

    Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.

    Assertion: The average velocity of the object over an interval of time is either smaller than or equal to the average speed of the object over the same interval.

    Reason: Velocity is a vector quantity and speed is a scalar quantity.

    Solution

    Because displacement ≤ distance and so average velocity ≤ average speed.

  • Question 6
    1 / -0

    Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.

    Assertion : An object can have constant speed but variable velocity.

    Reason : Speed is a scalar but velocity is a vector quantity.

    Solution

    Since velocity is a vector quantity, hence as its direction changes keeping magnitude constant, velocity is said to be changed. But for constant speed in equal time interval distance travelled should be equal.

  • Question 7
    1 / -0

    Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.

    Assertion : A particle starting from rest and moving with uniform acceleration travels’ a length of x and 3x in first two and next two-seconds.

    Reason : Displacement is directly proportional to velocity.

    Solution

    Assertion is correct, reason is incorrect

  • Question 8
    1 / -0

    Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.

    Assertion : The position-time graph of a uniform motion in one dimension of a body can have negative slope.

    Reason : When the speed of body decreases with time, the position-time graph of the moving body has negative slope.

    Solution

    Negative slope of position time graph represents that the body is moving towards the negative direction and if the slope of the graph decrease with time then it represents the decrease in speed i.e. retardation in motion.

  • Question 9
    1 / -0

    Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.

    Assertion : Displacement of a body may be zero when distance travelled by it is not zero.

    Reason : The displacement is the longest distance between initial and final position.

    Solution

    The displacement is the shortest distance between initial and final position. When final position of a body coincides with its initial position, displacement is zero, but the distance travelled is not zero.

  • Question 10
    1 / -0

    Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.

    Assertion : Displacement of a body is vector sum of the area under velocity– time graph.

    Reason : Displacement is a vector quantity.

    Solution

    According to definition, displacement = velocity × time. Since displacement is a vector quantity so its value is equal to the vector sum of the area under velocity-time graph.

  • Question 11
    1 / -0

    Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.

    Assertion : Position-time graph of a stationary object is a straight line parallel to time axis.

    Reason : For a stationary object, position does not change with time.

    Solution

    Position-time graph for a stationary object is a straight line parallel to time axis showing that not change in position with time.

  • Question 12
    1 / -0

    Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.

    Assertion : The average and instantaneous velocities have same value in a uniform motion.

    Reason : In uniform motion, the velocity of an object increases uniformly.

    Solution

    In uniform motion the speed is same at each instant of motion.

  • Question 13
    1 / -0

    Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.

    Assertion : The speedometer of an automobile measure the average speed of the automobile.

    Reason : Average velocity is equal to total displacement per total time taken.

    Solution

    Speedometer measures instantaneous speed of automobile.

  • Question 14
    1 / -0

    Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.

    Assertion : position-time graph of a body moving uniformly in a straight line parallel to position axis. Says body is at rest.

    Reason : The slope of position-time graph in a uniform motion gives the velocity of an object.

    Solution

    If the position-time graph of a body moving uniformly in a straight line parallel to position axis, it means that the position of body is changing at constant time. The statement is abrupt and shows that the velocity of body is infinite.

  • Question 15
    1 / -0

    Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.

    Assertion : A body is momentarily at rest when it reverses the direction.

    Reason : A body cannot have acceleration if its velocity is zero at a given instant of time.

    Solution

    We can answer this question from an example of a simple pendulum.

    As the pendulum has some acceleration at extreme position but the velocity of the pendulum is zero. At the instant of the extreme position the direction of velocity gets reversed. Due to which we can say that acceleration of the pendulum is not zero. But the velocity of the pendulum is zero at the instant of the extreme position and the potential energy gets stored in the pendulum.

    With this example we can also examine that when the velocity of the pendulum is getting reversed the pendulum has zero velocity at the extreme position.

    Now read the assertion and reason both given in the question.

    Assertion is correct as stated above with an example that a body can have acceleration even if its velocity is zero at a given instant of time. This is happening at the extreme position with the pendulum.

    Reason is also correct as in the above example the pendulum is momentarily at rest when it reverses its direction of motion.

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