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#### Model paper

11th Standard

Reg.No. :
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Physics

Time : 01:00:00 Hrs
Total Marks : 60

Part-A

10 x 1 = 10
1. Which one of the following Cartesian coordinate systems is not followed in physics?

(a)

(b)

(c)

(d)

2. Identify the unit vector in the following

(a)

$\hat { i } +\hat { j }$

(b)

$\frac { \hat { i } }{ \sqrt { 2 } }$

(c)

$\hat { k } -\frac { \hat { j } }{ \sqrt { 2 } }$

(d)

$\frac { \hat { i } +\hat { j } }{ \sqrt { 2 } }$

3. A ball is projected vertically upwards with a velocity v. It comes back to ground in time t. Which v-t graph shows the motion correctly?

(a)

(b)

(c)

(d)

4. If an object is thrown vertically up with the initial speed u from the ground, then the time taken by the object ' to return back to ground is

(a)

$\frac{u^2}{2g}$

(b)

$\frac{u^2}{g}$

(c)

$\frac{u}{2g}$

(d)

$\frac{2u}{g}$

5. Two objects are projected at angles 30° and 60° respectively with respect to the horizontal direction. The range of two objects are denoted as R30° and R60° Choose the correct relation from the following.

(a)

R30° =R6 ​​​​​​​

(b)

R30° =4R6

(c)

R30° =$\frac{R_{60°}}{2}$

(d)

R30° =2R6

6. Which one of the following satatement is true?

(a)

A scalar quantity is conserved in a process

(b)

A scalar quantity does not vary from one point to another in apace

(c)

A scalar quantity can never take -ve values

(d)

A scalar quantity has only magnitude and no direction.

7. The angle between A i +j and B = i - j is

(a)

45°

(b)

90°

(c)

-45°

(d)

180°

8. The center of mass of a system of particles does not depend upon,

(a)

position of particles

(b)

relative distance between particles

(c)

masses of particles

(d)

force acting on particle

9. A couple produces,

(a)

pure rotation

(b)

pure translation

(c)

rotation and translation

(d)

no motion

10. A particle is moving with a constant velocity along a line parallel to positive X-axis. The magnitude of its angular momentum with respect to the origin is,

(a)

zero

(b)

increasing with x

(c)

decreasing with x

(d)

remaining constant

11. Part-B

10 x 2 = 20
12. How do you deduce that two vectors are perpendicular?

13. Define displacement and distance.

14. Define velocity and speed

16. Define angular displacement and angular velocity.

17. Write down the kinematic equations for angular motion.

18. An object is executing uniform circular motion with an angular speed of $\frac { \pi }{ 12 }$ radian per second. At t = 0 the object starts at an angle $\theta$ = 0 What is the angular displacement of the particle after 4 s?

19. The Moon is orbiting the Earth approximately once in 27 days, what is the angle transversed by the Moon per day?

20. Find the magnitude of vector 3$\hat { i } -2\hat { j } +\sqrt { 3 } \hat { k }$ ?

21. What are the two quantities which have maximum values when the maximum height attained by the projectile is to the largest.

22. Part-C

9 x 3 = 27
23. Obtain an expression for the area of triangle in terms of the grass product of two vectors representing the two sides of the triangle.

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

25. How is a function represented graphically and mathematically.

26. Define average velocity and represent it graphically.

27. Write an expression for component of Instantaneous velocity or velocity and also define it.

28. What does the slope of 'position-time' graph represent? Which physical quantity is obtained from it?

29. Define the term relative velocity. How can it be obtained vectorially, when the two objects with uniform velocities move in same direction.

30. Write an expression for the two objects, moving with uniform velocities along the. same straight tracks but opposite in direction.

31. Two vectors $\vec A$ and $\vec B$ of magnitude 5 units and 7 units respectively make an angle 60° with each other as shown below. Find the magnitude of the resultant vector and its direction with respect to 7 unit the vector $\vec A$.

32. A swimmer's speed in the direction of flow of a river is 12 km h-1. Against the direction of flow ofthe river the swimmer's speed is 6 km h-1.Calculate the swimmer's speed in still water and the velocity of the river flow.