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HBSE Class 11 Physics Half Yearly Question Paper 2024 Answer Key
Instructions :
• All questions are compulsory.
• Questions (1-9) carry 1 mark each.
• Questions (10-12) carry 2 marks each.
• Questions (13-14) carry 3 marks each.
• Question (15) case study, carry 4 marks.
• Questions (16-17) carry 5 marks each.
1. The dimensional formula MLT–2 match with the dimensional formula of :
(a) Force
(b) Pressure
(c) Displacement
(d) Strain
Answer – (a) Force
2. Bouncing back of a ball is an example of :
(a) Newton’s 1st law
(b) Newton’s 2nd law
(c) Zeroth law
(d) Newton’s 3rd law
Answer – (d) Newton’s 3rd law
3. The product of force and time duration is known as :
(a) Acceleration
(b) Pressure
(c) Impulse
(d) Strain
Answer – (c) Impulse
4. An object is moving with a uniform velocity of 40 m/s. The instantaneous velocity of the object will be :
(a) 10 m/s
(b) 30 m/s
(c) 40 m/s
(d) 25 m/s
Answer – (c) 40 m/s
5. Slope of the velocity-time graph for a body in uniform motion is ………….
Answer – Acceleration
6. If external force on a body is zero then what is value of acceleration?
Answer – Zero
7. Motion in Straight line is one dimensional motion. (True / False)
Answer – True
8. Is the statement “Spring force is conservative” true?
Answer – Yes
9. Assertion (A) : Two particles of different mass, projected with same velocity at same angles. The maximum height attained by both the particles will be the same.
Reason (R) : The maximum height of the projectile is independent of particle mass.
Answer – Both assertion (A) and reason (R) are true, reason (R) is a correct explanation of assertion (A).
10. A car accelerated from rest at 2 m/s2. How far will it travel in 5 seconds?
Answer – Here, u = 0, a = 2 m/s2, t = 5 s
s = ut + ½at2 = 0×5 + ½(2)(5)2 = 25 m
11. What are the fundamental and derived units?
Answer – The base unit of the measurements are known as the fundamental units. e.g. metre, kilogram etc.
The units expressed in terms of the fundamental units are known as the derived units. e.g. force, weight etc.
12. A stone tied at the end of a string is whirled in a circle. If the string breaks, the stone flies away tangentially. Why?
Answer – When a stone, that is tied at the endpoint of a string, moving around a circular path, its velocity acts tangent to the circle.
When the string breaks, the centripetal force will not act. Because of inertia, the stone continues to move along the tangent to the circular path and flies off tangentially to the circular path.
13. In a relation F = a + bx where F is the force, x is the distance. Calculate dimensions of a and b.
Answer – Given relation, F = a + bx
Dimensions of F = [M1L1T–2]
Applying the principle of homogeneity of dimension,
Dimensions of a = F =[M1L1T–2]
Dimension of bx = F = [M1L1T–2]
Dimensions of b = F/x = [M1L1T–2] / [L] = [M1L0T–2]
14. Define :
(i) Time of flight
Answer – The time taken for the projectile to complete its trajectory or time taken by the projectile to hit the ground is called time of flight .
(ii) Maximum height
Answer – The maximum height of the object is the highest vertical distance from the horizontal plane along its trajectory.
(iii) Horizontal range
Answer – A projectile’s horizontal range is the distance along the horizontal plane. Moreover, it would travel before it reaches the same vertical position as it started from.
15. CASE STUDY : In physics, we can classify quantities as scalars or vectors. Basically, the difference is that a direction is associated with a vector but not with a scalar. A scalar quantity is a quantity with magnitude only. It is specified completely by a single number, along with the proper unit. Examples are: the distance between two points, mass of an object, the temperature of a body and the time at which a certain event happened. The rules for combining scalars are the rules of ordinary algebra. Scalars can be added, subtracted, multiplied and divided just as the ordinary numbers. A vector quantity is a quantity that has both a magnitude and a direction and obeys the triangle law of addition or equivalently the parallelogram law of addition. So, a vector is specified by giving its magnitude by a number and its direction. Some physical quantities that are represented by vectors are displacement, velocity, acceleration and force.
Questions :
(i) Force is an example of :
(a) Scalar
(b) Vector
(c) Tensor
(d) None of these
Answer – (b) Vector
(ii) Mass of an object is
(a) Scalar
(b) Vector
(c) Tensor
(d) None of these
Answer – (a) Scalar
(iii) Do vectors follow triangle law vector addition?
(a) Yes
(b) No
(c) Can’t be said
Answer – (a) Yes
(iv) Define vector quantity.
Answer – Any quantity that has magnitude and direction.
16. Derive the work-energy theorem for a variable force.
Answer –
17. State law of triangle vector addition and prove expression of resultant.
Answer – Triangle law of vector addition states that if two vectors are represented in magnitude and direction by two sides of a triangle taken in the same order, then their resultant is represented by the third side of the triangle taken in the opposite order.
