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11th Physics Monthly Test - 2 (Kinematics)

MABS Institution

11th Physics Monthly Test - 2 (Kinematics)-Aug 2020

Time : 2.30 Hours

Part - A

Multiple Choice Question - Answer All Question

The angle between \((\vec A+\vec B)\) and \((\vec A-\vec B)\) can be

only 0°
only 90°
between 0° and 90°
between 0° and 180°

The radius of the earth was measured by

Newton
Eratosthenes
Galileo
Ptolemy

\(\hat i.\hat j\) is

0
1
\(\infty \)
none

If one object is dropped vertically downward and another object is thrown horizontally from the same height, then the ratio of vertical distance covered by both objects at any instant t is

1
2
4
0.5

Two vectors act along the mutually perpendicular directions are called______vectors.

equal
opposite
orthogonal
orthogonal unit

In oblique projection horizontal range of the projectile is

\(\frac{u^2\sin^2\theta}{2g}\)
\(\frac{2u\sin\theta}{g}\)
\(\frac{u^2\sin2\theta}{g}\)
\(\frac{u^2}{g}\)

A ball is thrown upwards at a certain angle with the horizontal and it returns to the ground describing a parabolic path. Which of the following remains constant?

Momentum of the ball
Kinetic energy of the ball
Vertical component of the velocity
Horizontal component of the velocity

A particle moving along x-axis has acceleration f, at time t, given by \(f=f_o(1-{t\over T})\) , where f_o and T are constants.The particle at t = 0 has zero velocity, In the time interval between t = 0 and the instant when.f = 0, the particle's velocity (v_x) is

\({1\over 2}f_oT^2\)
\(f_oT^2\)
\({1\over 2}f_oT\)
\(f_oT\)

A stone projected vertically upwards with a speed of 15 ms^-1 from the top of a tower strikes the base of the tower in 5s. The height of the tower is (g = 10 ms^-2)

20m
45m
50m
35m

The resultant of two vectors \(\vec A\) and \(\vec B\) is perpendicular to the vector \(\vec A\) and its magnitude is equal to half the magnitude of vector \(\vec B\) .The angle between \(\vec A\) and \(\vec B\).

120°
150°
135°
none of these

Part - B

Generic 2 - Answer All Question

What is Kinematics?

State the vector product of two vectors. Also prove that whether it is commutative not commutative.

Suggest a situation in which an object is accelerated and have constant speed.

How will you find the sum (resultant) of two vectors, which are inclined to each other?

An object at an angle such that the horizontal range is 4 times of the maximum height. What is the angle of projection of the object?

Define velocity.

A train is moving on a straight track with acceleration a. A passenger drops a stone. What is the acceleration of stone with respect to passenger?

Part - C

Generic 3 - Answer All Question

Determine the position vectors for the following particles which are located at points P, Q, R, S.

Find the resultant force of the following forces which act upon a particle. (a) 30 N due east, (b) 20 N due north, (c) 50 N due west, (d) 40 N due south.

A train was moving at the rate of 54 km h^-1 when brakes were applied. It came to rest within a distance of 225 m. Calculate the retardation produced in the train.

A girl travels along a straight road due east for the first half distance with speed v₁ and the second half distance with speed v₂. What is the average speed of the girl?

If the resultant of two equal forces is \(\sqrt{3}\) times a single force, find the angle between the forces.

Define a radian?

How long will a boy sitting near the window of a train travelling at 36 km h^-1 see a train passing by in the opposite direction with a speed of 18 km h^-1. The length of the slowmoving train is 90 m.

Part - D

Generic 5 - Answer All Question

The position of a particle is given by r = 2.00t \(\hat { i } -1.00{ t }^{ 2 }\hat { j } +3.00\hat { k } \) where t is in seconds and the coefficients have the proper units for r to be in metres. Find the velocity and acceleration of a particle then what is the magnitude and direction of velocity of the particle at t = 2 s?

A body is projected upwards with a velocity of 30 ms^-1 at an angle of 30⁰ with the horizontal. Determine (i) the time of flight (ii) the range of the body and (iii) the maximum height attained by the body.

Consider the function Y = x². Calculate the derivative \(\frac{dy}{dx}\) using the concept of limit.

A van is moving along x-axis. As shown in the figure, it moves from 0 to P in 18s and returns from P to Q in 6s. What are the average velocity and average speed of the van in going from (i) from O to P, (ii) from O to P and back to Q?
A body falling freely descends 0.3m in 0.1s and 0.398m in the next 0.1s in some other planet. Find the value of g in that planet.

Write the important properties of vector (cross) product?

If \(\overrightarrow { A } =2\hat { i } -\hat { j } and\quad \overrightarrow { B } =4\hat { i } -3\hat { j } \) then, obtain the scalar magnitude and directions from x -axis of, \(\overrightarrow { A } +\overrightarrow { B } \)

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