11th Physics Weekly Test -1 ( Kinematics )

MABS Institution

11th Physics Weekly Test -1 ( Kinematics )-Aug 2020

Time : 1.30 Hours

Part - A

Multiple Choice Question - Answer All Question

The dot product of two vectors is:

commutative
associative
unit-commutative
none of the three

If \(\hat n\) is a unit vector along the direction of \(\vec A\), the \(\hat n\) is

\(\vec AA\)
n x A
\(\frac{\vec A}{A}\)
\(\vec A|A|\)

If \(\vec A\) and \(\vec B\) are two vectors, which are acting along x, y respectively, then \(\vec A\times \vec B\) lies along

x
y
z
none

If \(\vec{r_1}\) and \(\vec{r_2}\) are position vectors, then the displacement vector is

\(\vec{r_1}\times \vec{r_2}\)
\(\vec{r_1}.\vec{r_2}\)
\(\vec{r_1}+\vec{r_2}\)
\(\vec{r_2}+\vec{r_1}\)

\(\hat i\times \hat i\) is

0
1
\(\infty\)
\(\hat j\)

Which of the following graph represents the equation y = mx + C?

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

0
1
\(\infty \)
none

The position x of a particle varies with time, (t) as x == at² - bt³. The acceleration will be zero at time t is equal to

\(a\over 3b\)
Zero
\({2a\over 3b}\)
\(a\over b\)

Given \(\vec A=\hat i+\hat j+\hat k\) and \(\vec B=6\hat i+9\hat j+3\hat k\) which of the following statements is correct?

\(\vec A\) and \(\vec B\) are equal vectors
\(\vec A\) and \(\vec B\) are parallel vectors
\(\vec A\) and \(\vec B\) are perpendicular vectors
None of these

A particle moves in a straight line with a constant acceleration. It changes its velocity from 10 ms^-1to 20 ms^-1 while passing through a distance 135 m in t second. The value of t is

Part - B

Generic 2 - Answer All Question

Write an acceleration in terms of its component? (Or) Show that the acceleration is the second derivative of position vector with respect to time.

What are the assumptions made in the projectile motion?
What is rotational motion? Give example.

The following graphs represent velocity - time graph. Identify what kind of motion a particle undergoes in each graph.

What is the maximum number of components into which a vector can be resolved?

Part - C

Generic 3 - Answer All Question

A bomb is dropped from an aeroplane when it is directly above a target at a height of 1000m. The aeroplane is moving horizontally with a speed of 500 kmh^-1. By how much distance will the bomb miss the target?

Calculate the displacement vector for a particle moving from a point P to Q as shown below. Calculate the magnitude of displacement.

Write an expression for displacement vector in Cartesian coordinate system and also show graphically.
The speed of a car as a function of time as shown figure. Find the acceleration and distance travelled by the car in 8 seconds.

An athlete covers 3 rounds on a circular track of radius 50 m. Calculate the total distance and displacement travelled by him.

Part - D

Generic 5 - Answer All Question

Chennai is at a distance of 500 km from Coimbatore. (A) sets out from Coimbatore at a speed of 50 kmh^-1 and (B) sets out at the same time from Chennai at a speed of 40 kmh^-1, When will they meet each other?

In the cricket game, a batsman strikes the ball such that it moves with the speed 30ms^-1 at an angle 30° with the horizontal as shown in the figure. The boundary line of the cricket ground is located at a distance of 75 m from the batsman? Will the ball go for a six? (Neglect the air resistance and take acceleration due to gravity g = 10m s^-2).

Write note on integration.

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 monkey hangs on a tree. A hunter aims a gun at the monkey and fires the bullet with velocity Vo which makes angle \(\alpha\)o with horizontal direction. At the instant gun fires, monkey leaves the branch and falls straight down to escape from the bullet as shown in the figure. Will bullet hit the monkey or will the monkey escape the bullet? (ignore air resistance)

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11th Physics Weekly Test -1 ( Kinematics )

MABS Institution

11th Physics Weekly Test -1 ( Kinematics )-Aug 2020

Part - A

Multiple Choice Question - Answer All Question

The dot product of two vectors is:

If \(\hat n\) is a unit vector along the direction of \(\vec A\), the \(\hat n\) is

If \(\vec A\) and \(\vec B\) are two vectors, which are acting along x, y respectively, then \(\vec A\times \vec B\) lies along

If \(\vec{r_1}\) and \(\vec{r_2}\) are position vectors, then the displacement vector is

\(\hat i\times \hat i\) is

Which of the following graph represents the equation y = mx + C?

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

The position x of a particle varies with time, (t) as x == at2 - bt3. The acceleration will be zero at time t is equal to

Given \(\vec A=\hat i+\hat j+\hat k\) and \(\vec B=6\hat i+9\hat j+3\hat k\) which of the following statements is correct?

A particle moves in a straight line with a constant acceleration. It changes its velocity from 10 ms-1to 20 ms-1 while passing through a distance 135 m in t second. The value of t is

Part - B

Generic 2 - Answer All Question

Write an acceleration in terms of its component? (Or) Show that the acceleration is the second derivative of position vector with respect to time.

What are the assumptions made in the projectile motion?

What is rotational motion? Give example.

The following graphs represent velocity - time graph. Identify what kind of motion a particle undergoes in each graph.

What is the maximum number of components into which a vector can be resolved?

Part - C

Generic 3 - Answer All Question

A bomb is dropped from an aeroplane when it is directly above a target at a height of 1000m. The aeroplane is moving horizontally with a speed of 500 kmh-1. By how much distance will the bomb miss the target?

Calculate the displacement vector for a particle moving from a point P to Q as shown below. Calculate the magnitude of displacement.

Write an expression for displacement vector in Cartesian coordinate system and also show graphically.

The speed of a car as a function of time as shown figure. Find the acceleration and distance travelled by the car in 8 seconds.

An athlete covers 3 rounds on a circular track of radius 50 m. Calculate the total distance and displacement travelled by him.

Part - D

Generic 5 - Answer All Question

Chennai is at a distance of 500 km from Coimbatore. (A) sets out from Coimbatore at a speed of 50 kmh-1 and (B) sets out at the same time from Chennai at a speed of 40 kmh-1, When will they meet each other?

Write note on integration.

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The position x of a particle varies with time, (t) as x == at² - bt³. The acceleration will be zero at time t is equal to

A particle moves in a straight line with a constant acceleration. It changes its velocity from 10 ms^-1to 20 ms^-1 while passing through a distance 135 m in t second. The value of t is

A bomb is dropped from an aeroplane when it is directly above a target at a height of 1000m. The aeroplane is moving horizontally with a speed of 500 kmh^-1. By how much distance will the bomb miss the target?

Chennai is at a distance of 500 km from Coimbatore. (A) sets out from Coimbatore at a speed of 50 kmh^-1 and (B) sets out at the same time from Chennai at a speed of 40 kmh^-1, When will they meet each other?