Test – 1 Examination (2025-26)
Class – XI
SUBJECT – PHYSICS (042)
M.M. - 40 Time: - 2 hours
General Instructions:
1. This Question Paper contains four sections.
2. Section A has 6 multiple choice questions of 1 mark each.
3. Section B has 4 very short answer type questions of 2 marks each.
4. Section C has 4 short answer type questions of 3 marks each.
5. Section D contains 1 case study type question of 4 marks.
6. Section E contains 2 long answer type questions of 5 marks each.
6. There is no overall choice in this question paper. However, an internal choice has been
provided in one question of two marks, in one question of three marks. in two questions of five
marks.
SECTION – A
1. The number of significant figures in 0.00560 is:
a) 2
b) 3
c) 4
d) 5
2. Which of the following quantities has the same dimensions as energy?
a) Force × Acceleration
b) Pressure × Volume
c) Force × Velocity
d) Momentum × Velocity
3. A body moves with uniform acceleration. The distance covered in 5 seconds is 100 m and in
10 seconds is 300 m. What is the initial velocity?
a) 0 m/s
b) 10 m/s
c) 20 m/s
d) 5 m/s
4. In which of the following motions is the average velocity equal to instantaneous velocity?
a) Uniform circular motion
b) Uniform motion in a straight line
c) Non-uniform motion
d) Projectile motion
5. If the velocity-time graph is a straight line inclined to the time axis, then the motion has:
a) Uniform velocity
b) Uniform acceleration
c) Variable acceleration
d) Non-uniform velocity
6. Dimensional formula for Planck’s constant is:
a) [ML²T⁻²]
b) [MLT⁻²]
c) [ML²T⁻¹]
d) [MLT⁻¹]
SECTION – B
7. Deduce the dimensional formulae for the following physical quantities:
(a) Gravitational constant
(b) Power
(c) Young’s modulus
(d) Planck’s constant
8. Check the dimensional consistency of the following equations:
h
(a) De- Broglie wavelength, λ =
mv
(b) Escape velocity, v =
√ 2 GM
R
9. Prove second and third equation of motion by using calculus method..
10. If a car at rest accelerates uniformly to a speed of 144 km / hr in 20 seconds. Then what will be
the distance travelled by the car in these 20 seconds?
OR
A rocket is fired upwards such that it creates an acceleration of 19.6 m /s 2. If after 5
seconds, its engine is switched off; What would be the maximum height of rocket from
earth’s surface?
SECTION -C
11. A calorie is a unit of heat or energy and it equals about 4.2 J where 1 J = 1 kg m2 s-2. Suppose
we employ a system of units in which the unit of mass equals α kg, the unit of length equals β
m, the. unit of time is γ s. Show that a calorie has a magnitude 4.2 α-1 β-2 γ2 in terms of the new
units.
12. If the mass of a biggest stone displaced by a flowing river, depends on velocity
v, density (rho) of water and acceleration due to gravity (g), Prove that the
value of mass m is proportional to v 6.
13. A man walks on a straight road from his home to a market 2.5 km away with a
speed of 5 km h-1. Finding the market closed, he instantly turns and walks back
home with a speed of 7.5 km h-1 What is the Average speed of the man over
the interval of time (i) 0 to 30 min. (ii) 0 to 50 min. (iii) 0 to 40 min?
OR
A ball is thrown vertically upwards with a velocity of 20 m/s from the
top of a multistorey building. The height of the point from where the
ball is thrown is 25 meters from the ground.
(a) How high will the ball rise?
(b) How long will it be before the ball hits the ground?
14. A player throws a ball upwards with an initial speed of 29.4 ms-1.
(a) What is the direction of acceleration during the upward motion of the ball?
(b) What are the velocity and acceleration of the ball at the highest point of its
motion?
(c) 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 s-2 and neglect air resistance).
SECTION D
Case study
15. When an object is in motion, its position changes with time. So, the quantity that describes how
fast is the position changing w.r.t. time and in what direction is given by average velocity. It is
defined as the change in position or displacement (Δx ) divided by the time interval (Δt ) in
which that displacement occurs. However, the quantity used to describe the rate of motion over
the actual path, is average speed. It defined as the total distance travelled by the object divided
by the total time taken.
(i)A 250 m long train is moving with a uniform velocity of 45 km/h. The time taken by the train
to cross a bridge of length 750 m is
(a) 56 s
(b) 68 s
(c) 80 s
(d) 92 s
(ii) A truck requires 3 hr to complete a journey of 150 km. What is average speed?
(a) 50 km/h
(b) 25 km/h
(c) 15 km/h
(d) 10 km/h
(iii) Average speed of a car between points A and B is 20 m/s, between B and C is 15 m/s and
between C and D is 10 m/s. What is the average speed between A and D, if the time taken in the
mentioned sections is 20s, 10s and 5s, respectively?
(a) 17.14 m/s
(b) 15 m/s
(c) 10 m/s
(d) 45 m/s
(iv) A cyclist is moving on a circular track of radius 40 m completes half a revolution in 40 s.
Its average velocity (in m/s) is
(a) zero
(b) 2
(c) 4π
(d) 8π
SECTION - E
16. (a)Mechanical power is represented by P = F u + Av³ ρ where, F is the
force, u is the initial velocity, v is the final velocity, A is the area and ρ is the
density.
i) Write the dimensional formula of power.
ii) Check by the method of dimensional validity of the above equation.
(b) convert one joule into erg.
OR.
(a) A planet moves around the sun in nearly circular orbit. its period of
revolution ‘T’ (i) radius ‘r’ of orbit (ii) mass ‘M’ of the sun and (iii) the
gravitational constant G. show dimensionally that T2 ∝ r3.
(b) convert one dyne into newton.
17. A man walks on a straight road from his home to a market 2.5 km away with a
speed of 5 km h-1. Finding the market closed, he instantly turns and walks back
home with a speed of 7.5 km h-1 What is the (a)Magnitude of average velocity,
and (b)Average speed of the man over the interval of time (i) 0 to 30 min. (ii)
0 to 50 min. (iii) 0 to 40 min?
OR
The displacement covered by an object is given as follows:-
Y = 6t 3 + 5t 2 + 2t +7 ,
a. Calculate the velocity of the object at t = 4 s & t = 7s .
b. Calculate acceleration of the object between 2s to 4s .
c. Find its change in position between t = 3s & t= 5s .
(b) Look at the graphs (a) to (d) Fig. carefully and state, with reasons, which of
these cannot possibly represent one-dimensional motion of a particle.
