Goa Board Class 11 Sample Paper Physics

Sample Paper
&
Question Paper Pattern
2022
2023

GOA BOARD

Physics
Model Question Paper 1 For the Academic year
Standard : XI Test 1
Time allowed : 60 minutes Max. marks : 20
Instructions:
1. All questions are compulsory.
2. This question paper has three sections.
3. Section A contains 4 questions of one mark each. Section B contains 5 questions of two marks each. Section C contains
2 questions of three marks each.
4. There is no overall choice. However, internal choices have been provided in one question of three marks.
5. Use of calculators is not permitted. However, you may ask for mathematical tables.

Section A
Select and write the most appropriate options from those given below each question.
1 1

A and B are two children returning from their school O to their homes P and Q respectively as shown in the position-time (x-t)
graph above. The correct statement according to the graph is:
• B starts from the school earlier than A

• A walks faster than B
• B overtakes A along the way
• A walks more than B to reach home

2 Four aircraft A, B, C and D fly together around a tower in concentric horizontal loops of radii 1 km, 2 km, 3 km amd 4 km, 1
completing each loop in the same time. Then the centripetal acceleration:
• is same for A, B, C, and D
• is lowest for A and highest for D
• is lowest for D and highest for A
• depends on the mass and size of each aircraft

Answer the following
3 State the number of significant figures in the following values: 1
(a) 6.320 J
(b) 6.032 N m2
4 1

A car is moving along a straight line RQ as shown. It moves from O to Q in 60 s and then to R in 90 s. State the
difference between ‘average speed’ and ‘average velocity’ using this data.
Section B
5 What is Least count error? Give an example. 2

1
6 Consider the equation: 𝑚𝑣 2 = 𝑚𝑔ℎ 2
2

where m is the mass of the body, v its velocity, g is the acceleration due to gravity and h is the height. Check
whether this equation is dimensionally correct.

7 A car starts from rest and reaches a velocity of 40 m/s in 10 s. Draw the v-t graph for its motion. From this 2

graph, how is the distance calculated?
8 2
An object undergoes uniform circular motion. With a neat diagram explain and obtain the formula for a)
angular velocity, and b) centripetal acceleration.

9 2
Rain is falling vertically with a speed of 30 m/s. A woman rides a bicycle with a speed of 10 m/s in the north to
south direction. Draw a vector diagram to show the direction in which she should hold her umbrella?
(Calculation not required)
Section C
10 3
A projectile is launched with initial velocity vo at an angle θ. Show that the projectile follows the path of a
parabola. Draw the necessary diagram.
11 3
Two parallel rail tracks run north-south. Train A moves north with a
speed of 54 km/h, and train B moves south with a speed of 90 km/h. What is:
(a) velocity of B with respect to A ?,
(b) velocity of ground with respect to B ?, and
(c) velocity of a monkey running on the roof of the train A against its motion (with a velocity of 18 km/h with
respect to the train A as observed by a man standing on the ground ?
/OR/
11 3
A car has an acceleration of 8 m/s2.
a) How much time is needed for it to reach a velocity of 24 m/s if it starts from rest?
b) How far does it go during this period?

ANSWER KEY
Test 1 Paper 1

1 Motion in a Plane (U) 1

The correct statement according to the graph is: B overtakes A along the way

2 Motion in a Plane (U) 1
• Then the centripetal acceleration: is lowest for A and highest for D

3 Units and Measurements (K) 1
State the number of significant figures in the following values:
(a) 6.320 J - four
2
(b) 6.032 N m - four
4 Motion in a Straight line (U) 1

State the difference between ‘average speed’ and ‘average velocity’ using this data.
For average speed, distance covered is 360 and time is 150 s
For average velocity, displacement is 120 units and time is 150 s

Section B
5 Units and Measurements (K) 2
What is Least count error? Give an example.
The least count error is the error associated with the resolution of the instrument. For example, a vernier
callipers has the least count as 0.01 cm; Measured values are good only up to this value

6 Units and Measurements (U) 2
1
Consider the equation: 𝑚𝑣 2 = 𝑚𝑔ℎ
2
The dimensions of LHS are
[M] [L T.1 ]2 = [M] [ L2 T.2]
= [M L2 T.2]
The dimensions of RHS are
[M][L T.2] [L] = [M] [ L2 T.2]
= [M L2 T.2]
The equation is dimensionally correct

7 Motion in a Straight line (K) 2

A car starts from rest and reaches a velocity of 40 m/s in 10 s. Draw the v-t graph for its motion. From this
graph, how is the distance calculated?

Distance is calculated by finding the area (of triangle) below the line.

8 Motion in a Plane (U)
An object undergoes uniform circular motion. With a neat diagram explain and obtain the formula for a) 2
angular velocity, and b) centripetal acceleration.

Derivation of

and

9 Motion in a Plane (U) 2
Draw a vector diagram to show the direction in which she should hold her umbrella? (Calculation not required)

The umbrella should be held along the direction R
Section C
10 Motion in a Plane (U) 3
Show that the projectile follows the path of a parabola. Draw the necessary diagram.
Derivation & comparison to equation of parabola
11 Motion in a Straight line (A) 3
Two parallel rail tracks run north-south. Train A moves north with a
speed of 54 km/h, and train B moves south with a speed of 90 km/h. What is:
(a) velocity of B with respect to A ?, Ans: 90-(-54)=144 km/h or 90-54=36
(b) velocity of ground with respect to B ?, Ans: -90 km/h
and
(c) velocity of a monkey running on the roof of the train A against its motion (with a velocity of 18 km/h with
respect to the train A) as observed by a man standing on the ground ? Ans: 54-18=36 km/h
/OR/
11 Motion in a Straight line (A) 3

2
A car has an acceleration of 8 m/s .
a) How much time is needed for it to reach a velocity of 24 m/s if it starts from rest? Ans: v=at, t=v/a = 24/8 = 3s
b) How far does it go during this period? Ans: s=1/2 a t2 = ½ x 8 x 9 = 36 m

Blue Print

Chapter Knowledge (K) Understanding (U) Application (A)
VSA SAI SAII VSA SAI SAII VSA SAI SAII
(1) (2) (3) (1) (2) (3) (1) (2) (3)
Units and 1 1 1 05
Measurements
Motion in a 1 1 1 06
Straight line
Motion in a 2 1 2 09
Plane
05 10 05 20

Physics
Model Question Paper 2 For the Academic year 2021 – 2022
Standard : XI Test 1
Time allowed : 60 minutes Max. marks : 20
Instructions:
1. All questions are compulsory.
2. This question paper has three sections.
3. Section A contains 4 questions of one mark each. Section B contains 5 questions of two
marks each. Section C contains 2 questions of three marks each.
4. There is no overall choice. However, internal choices have been provided in one
question of three marks.
5. Use of calculators is not permitted. However, you may ask for mathematical tables.

Section A
Select and write the most appropriate options from those given below each question.
1 1

A and B are two children returning from their school O to their homes P and Q respectively as
shown in the position-time (x-t) graph above. The correct statement according to the graph is:
• B starts from the school earlier than A
• A walks faster than B
• B overtakes A along the way
• A walks more than B to reach home

2 A ball is kicked at an angle of 450 and lands 45 m away on a level ground. If it is kicked at the 1
same initial velocity, then:

• at an angle of 400 it will land 44 m away
• at an angle of 500 it will land 46 m away
• at an angle of 550 it will land 48 m away
• at an angle of 600 it will land 50 m away

Answer the following

3 What is a systematic error? 1

4 State whether the following physical quantities are scalars or vectors: 1
(i) angular frequency
(ii) angular acceleration

Section B

5 𝑙 2
The equation for time period of a pendulum is 𝑇 = 2𝜋√
𝑔
Where l is length and g is acceleration due to gravity. Using dimensional representation, show
that the right hand side represents time.

6 2
4.237𝑔 −3
i) Density 𝑑 = = 1.68804 𝑔𝑐𝑚
2.51𝑐𝑚2

Express the result ‘1.68804’ with the correct number of significant figures.

ii) The accuracy in the measurement of time period 1.89 S is 0.01 S, find the
relative percentage error in 1.89 S.
7 A car starting from rest undergoes constant acceleration of 4 m/s2 for 10 s. Draw the v-t graph 2
for its motion. From this graph, calculate the distance travelled.

8 A projectile is launched with initial velocity vo at an angle θ. Derive an expression for its time of 2
flight.

9 Rain is falling vertically with a speed of 30 m/s. A woman rides a bicycle with a speed 2
of 10 m/s in the north to south direction. Draw a vector diagram and find the direction in which
she should hold her umbrella?

Section C

10 3
A player throws a ball upwards with an initial speed of 29.4 m/s.

To what height does the ball rise and after how long does the ball return to the player’s hands?
(Take g = 9.8 m/s2 and neglect air resistance).

11 3

The figure shows an object in uniform circular motion. Analyze the figure to derive the expressions for
angular velocity and angular acceleration.

/OR/
11 3

The figure shows the addition of two vectors A and B Analyze the figure to obtain the expression for the
resultant vector R and the relation between θ and α.

ANSWER KEY
Test 1 Paper 2

1 Motion in a St Line U 1
The correct statement according to the graph is:
• B overtakes A along the way
2 Motion in a Plane U 1
A ball is kicked at an angle of 450 and lands 45 m away on a level ground. If it is kicked at the
same initial velocity, then:
• at an angle of 400 it will land 44 m away
3 Units and Measurements K 1
What is a systematic error?
It is a type of error that tends to occur more in a particular direction, positive or negative that
can therefore be compensated.
It is a type of error in measurement that deviates by a fixed amount from the true value of
measurement
4 Motion in a Plane K 1
State whether the following physical quantities are scalars or vectors:
(iii) angular frequency - scalar
(iv) angular acceleration – vector
5 Units and Measurements U 2
𝑙
The equation for time period of a pendulum is 𝑇 = 2𝜋√𝑔
L0M0T1 = L1M0T0/ L1M0T-2
6 Units and Measurements U 2
4.237𝑔
Density 𝑑 = 2.51𝑐𝑚2 = 1.68804 𝑔𝑐𝑚−3
Ans: 1.69
7 Motion in a St Line U 2
A car starting from rest undergoes constant acceleration of 4 m/s2 for 10 s. Draw the v-t graph
for its motion. From this graph, calculate the distance travelled.

Distance travelled = area below the line = ½ 40 x 10 =200 m
8 Motion in a Plane K 2
𝑣 sin 𝜃
Derive an expression for its time of flight. Ans: 𝑡 = 0 𝑔
9 Motion in a Plane A 2
Draw a vector diagram and find the direction in which she should hold her umbrella?

10 Motion in a Straight line A 3
To what height does the ball rise and after how long does the ball return to the player’s hands ?
Ans: initial speed = 29.4 m/s.
v2 = u2 + 2 as
s = 45 m,
v=u + at
t= 6 s

11 Motion in a Plane U 3

The figure shows an object in uniform circular motion. Analyze the figure to derive the expressions for
angular velocity and angular acceleration.

/OR/
11 Motion in a Plane U 3

The figure shows the addition of two vectors A and B Analyze the figure to obtain the expression for the
resultant vector R, and the relation between θ and α.

Blue - Print

Chapter Knowledge Understanding Application
VSA SAI SAII VSA SAI SAII VSA SAI SAII
(1) (2) (3) (1) (2) (3) (1) (2) (3)
Units and 1 2 05
Measurements
Motion in a 1 1 1 06

Straight line
Motion in a Plane 1 1 1 1 1 09
05 10 05 20