PHYSICS BYTES

HP BOARD FINAL QUESTION PAPER 2023

Subject: PHYSICS (Theory) | Class: XI

Time Allowed: 3 Hours
Max Marks: 60

GENERAL INSTRUCTIONS:

  • (1) There are 29 questions in all. All questions are compulsory.
  • (2) This question paper has four sections: Section A, Section B, Section C, and Section D.
  • (3) All the sections are compulsory.
  • (4) Section A contains 12 objective type questions of 1 mark each. Section B contains 6 questions of 2 marks each. Section C contains 8 questions of 3 marks each. Section D contains 3 long answer questions of 4 marks each.
  • (5) There is no overall choice. However, an internal choice has been provided in some questions. You have to attempt only one of the choices in such questions.
  • (6) Use of calculators is not allowed.

Section - A

(Objective Type Questions)

1.
A particle is thrown up, then correct V-t graph will be:
(a)
(b)
(c)
(d)
1
Q. No. 2 and 3, consist of two statements Assertion (A) and Reason (R). Answer these questions selecting the appropriate option given below:
(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
(b) Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of the Assertion (A).
(c) Assertion (A) is true, but Reason (R) is false.
(d) Assertion (A) is false, but Reason (R) is true.
2.
Assertion (A): The size of a hydrogen balloon increases as it rises in air.
Reason (R): The material of the balloon can be easily stretched.
1
3.
Assertion (A): Impulsive force is large and acts for a short time.
Reason (R): Finite change in momentum should be produced by the force.
1
Read the following paragraph and answer question no. 4 and 5 based on it:
The work-energy theorem is not independent of Newton's second law. The work-energy theorem may be viewed as a scalar from the second law. The principle of conservation of mechanical energy may be viewed as a consequence of the work-energy for conservative forces. For two bodies, the sum of the mutual forces exerted between them is zero from Newton's third (III) law, $F_{12}+F_{21}=0$. But the sum of the work done by the two forces need not always cancel i.e. $W_{12}+W_{21}\ne0$. However, it may sometimes be true.
4.
A bicyclist comes to a skidding stop in 10 m. During this process, the force on the bicycle due to the road is 200 N and is directly opposed to the motion. The work done by the cycle on the road is:
(a) 2,000 J
(b) 200 J
(c) Zero
(d) 20,000 J
1
5.
During inelastic collision between two bodies, which of the following quantities always remain conserved?
(a) Total Kinetic Energy
(b) Total Mechanical Energy
(c) Speed of each body
(d) Total linear momentum
1
6.
Match the following List-I with List-II:
List-I
List-II
(A) Moment of Inertia
1. $[ML^{2}T^{-2}]$
(B) Torque
2. $[ML^{2}T^{-1}]$
(C) Angular momentum
3. $[M^{0}LT^{0}]$
(D) Radius of Gyration
4. $[ML^{2}T^{0}]$
(a) (A)-1, (B)-2, (C)-3, (D)-4
(b) (A)-2, (B)-3, (C)-4, (D)-1
(c) (A)-4, (B)-1, (C)-2, (D)-3
(d) (A)-3, (B)-4, (C)-1, (D)-2
1
7.
Match the following List-I with List-II:
List-I
List-II
(A) Gravitational Intensity
1. $Nm^{2}kg^{-2}$
(B) Gravitational Potential
2. $ms^{-2}$
(C) Gravitational Potential energy
3. $Jkg^{-1}$
(D) Gravitational constant
4. Joule (J)
(a) (A)-1, (B)-2, (C)-3, (D)-4
(b) (A)-2, (B)-3, (C)-4, (D)-1
(c) (A)-3, (B)-4, (C)-1, (D)-2
(d) (A)-4, (B)-3, (C)-2, (D)-1
1
8.
A spring is stretched by applying a load to its free end. The strain produced in the spring is:
(a) Volumetric
(b) Shear
(c) Longitudinal and Shear
(d) Longitudinal
1
9.
First law of Thermodynamics is the law of conservation of:
(a) Mass
(b) Linear Momentum
(c) Angular Momentum
(d) Energy
1
10.
Boyle's law is applicable for an:
(a) Isothermal process
(b) Adiabatic process
(c) Isobaric process
(d) Isochoric process
1
11.
Motion of an oscillating liquid column in a U-tube is:
(a) Periodic but not simple harmonic
(b) Simple harmonic and time period is independent of the density of the liquid
(c) Non-periodic
(d) Simple harmonic and time period is directly to the density of the liquid
1
12.
With propagation of longitudinal waves through a medium, the quantity transmitted is:
(a) Energy
(b) Matter
(c) Energy and Matter
(d) Energy, Matter and Momentum
1

Section - B

(Very Short Answer Questions)

13.
What is a Velocity-time Graph? Mention its use.
2
14.
A car moving along a straight highway with a speed of $126~kmh^{-1}$ is brought to a stop within a distance of 200 m. What is the retardation of the car and how long does it take for the car to stop?
2
15.
Why a Cricket Player lowers his hands while catching a Cricket ball?
2
16.
Define the angle of friction and angle of repose and hence show that both are numerically equal.
2
17.
State and prove Pascal's law.
OR
What is Stoke's law? Derive the relation by the method of dimensions.
2
18.
What is the Young's modulus and Bulk modulus for a perfect rigid body?
2

Section - C

(Short Answer Questions)

19.
Convert 100 J into erg using dimensional analysis.
3
20.
What is Force Constant? Derive an expression for elastic potential energy of a spring.
OR
Prove that total mechanical energy of a body falling freely under gravity is conserved.
3
21.
What is angular momentum? Show that angular momentum is equal to twice the product of mass and areal velocity.
3
22.
Define escape velocity and show that the escape velocity of a planet is $\sqrt{2gR}$ where g is the acceleration due to gravity of the planet and R is the radius.
OR
Define Gravitational constant (G). Show that gravity decreases with depth. What is its value at the centre of the earth?
3
23.
A 50 kg girl wearing high heel shoes balances on a single heel. The heel is circular with a diameter 1.0 cm. What is the pressure exerted by the heel on the horizontal floor?
3
24.
Prove that $C_{p}-C_{v}=R$, for an ideal gas, where symbols have their usual meaning.
3
25.
State the postulates of Kinetic theory of gases. What is Kinetic interpretation of temperature?
3
26.
What do you mean by S.H.M.? Derive an expression for velocity and acceleration of a particle executing S.H.M.
3

Section - D

(Long Answer Questions)

27.
What do you mean by projectile? A projectile is fired with velocity (u) making an angle ($\theta$) with horizontal ground. Show that its path is parabolic. Also find an expression for maximum-height attained.
OR
(a) At what angle the two forces (P + Q) and (P - Q) act, so that their resultant is $\sqrt{3P^{2}+Q^{2}}$?
(b) Prove that the vectors $\vec{A}=\hat{i}+2\hat{j}+3\hat{k}$ and $\vec{B}=2\hat{i}-\hat{j}$ are perpendicular to each other.
4
28.
State Newton's 2nd law of motion. Prove that Newton's second law is the real law of motion.
OR
(a) Define Centripetal force. Write expression for it.
(b) Friction is necessary evil. Justify.
4
29.
Discuss Newton's formula for velocity of sound in air. Point out the error and hence discuss Laplace's correction.
4