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Mathematics In Physics Test - 19

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Mathematics In Physics Test - 19
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  • Question 1
    1 / -0

    If are two vectors inclined to each other at an angle θ, then the component of  perpendicular to and lying in the plane containing will be:

    Solution

    From the diagram-

     

  • Question 2
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    Solution

     

  • Question 3
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    Solution

     

  • Question 4
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    Two forces of the same magnitude are acting on a body in the East and North directions, respectively. If the body remains in equilibrium, then the third force should be applied in the direction of:

    Solution

    The resultant of these two forces would lie in the north-east direction. To balance this resultant, the third force should be in a south-west direction. 

     

  • Question 5
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    Solution

     

  • Question 6
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    In the following questions, a statement of assertion (A) is followed by a statement of the reason (R).

    A: Three vectors equal in magnitude cannot produce zero resultant.

    R: Minimum four-vectors required to produce zero resultant.

    Solution

    The resultant of three vectors equal in magnitude can be equal to zero if the angle between them is 120° as shown in the figure. 

     

  • Question 7
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    In the following questions, a statement of assertion (A) is followed by a statement of the reason (R).

    A: A vector must have, magnitude and direction.

    R: A physical quantity cannot be called a vector if its magnitude is zero.

    Solution

    A null vector has zero magnitude and has no or any direction. 

     

  • Question 8
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    If  then which of the following statement is correct?

    Solution

     

  • Question 9
    1 / -0

    What is the maximum value of 5sinθ – 12cosθ?

    Solution

    Hint: The maximum value of y = a sinθ ± bcosθ is given as,

     

  • Question 10
    1 / -0

    Find dy/dx, if y = t3 + 1 and x = t2 + 3.

    Solution

     

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