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This document is all about test of maths and science which help the students in 10th board also

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  • September 20, 2024
  • 2
  • 2024/2025
  • Exam (elaborations)
  • Only questions
  • Secondary school
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SOMNATH SIR’S CLASSES
CLASS- IX MATHEMATICS
SET-A
Full Marks- 40 Marks
Full Time- 80 Mins


PHYSICS
1. A ball is thrown vertically upward with a velocity 49m/s. Calculate total time taken to return to earth. (1)
2. What do you mean by inertial mass ? (1)
3. State universal law of Gravitation? (1)
4. An object is thrown downwards from the height of 60 km from the surface of the Earth. What will
Happen to its weight? (1)
5. The Earth attracts the moon with a force F(say), then the force on the Earth by the moon is (1)
(a)F (b)F/6 (c)F/2 (d)cannot say
6. Assertion: The acceleration due to gravity decreases with increase in altitude above the surface of earth.
Reason: The value of g is directly proportional to height. (1)
7. Assertion: The pressure at the bottom of two tanks of different area of cross section is equal if they
contain same liquid to same height.
Reason: Pressure of a liquid is hdg and is independent of the shape and width of the container. (1)
8. A hammer of mass 500 g moving with 50m/s strikes a nail. The nail stops the hammer in a very short
time of 0.01 s. What is the force of the nail on the hammer. (2)
9. Suppose the mass of the earth somehow increases by 10% without any change in its size. What would
happen to your weight? Suppose the radius of the earth becomes twice its present radius without any
change in its mass, what will happen to your weight? (2)
10. What happens when the force between two objects if the distance between the objects is tripled and
mass of the objects are doubled. Find % change in force. (2)
11. A gun fires a bullet of m = 50 g. It moves with a velocity of 100m/s strikes a sand bag and gets embedded
after travelling 10 cm. Calculate the restoring force and time taken to the bullet to come to rest. (2)
12. If action is always equal to reaction, how can a horse pull a cart? (2)
13. If a body floats on the surface of a liquid whose density is 1000 kgm – 3 . If 40% of its volume is immersed,
find the R.D. of the body at 4℃. (2)
14. A body released from height h takes √6 sec time to reach the earth’s surface. Calculate the time taken
by the same body to reach the surface of the moon. (2)
nd
15. (i)State newton’s 2 law of motion. Find the expression for F=ma.
(ii)A body of mass 25 kg is initially moving with the velocity of 30 m/s. A force is applied on it for 5 sec
which changes its velocity to 40 m/s . Calculate-
(a)Change in momentum of body (b) Rate of change of momentum of the body
(c)Acceleration produced by body (d)Force applied on body (1+2)
16. (i)A piece of iron of density 7.8 × 10 – 3kgm – 3 and volume 100cm3 is totally immersed in water. Calculate
(a) The weight of iron piece in air. (b) Upthrust and apparent weight in water.
(ii)State Archimedes Principle. (2+1)
17. A piece of material of mass 100 g is immersed in a measuring cylinder having water at a mark of 30 ml.
The water level rises to 38 ml. Calculate-
(i)Volume of the piece of material
(ii)Density of the piece of material
(iii)Loss in weight of the piece of material
(iv)Buoyant force on piece of material (density of water 1 g cm -3 , g = 980 cm s- 2 ) (3)

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