Physics Term 2 Exam Prep
Full explanation, worked examples & memory tricks in the app
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Full explanation, worked examples & memory tricks in the app
Every question in the paper gets a full exam-length answer in the app — organised by marks, the way a topper writes it.
State and prove conservation of mechanical Energy.
Mechanical energy is conserved in an isolated system.
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An electrical water pump of 80% efficiency is used to lift water up to a height of 10m. Find mass of water which it could lift in 1 hour if the input power was 500 watt?
Mass = (Power * time) / (efficiency * g * h).
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A bullet of mass 20 g strikes a target with a velocity of 150 m s -1 and brought to rest after piercing 10 cm into it. Calculate the average force of resistance offered by the target.
Average force = (change in momentum) / (time taken).
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What is an elastic collision? Show that in case of elastic collision in one dimension of two bodies, the relative velocities of the bodies after collision is equal to the relative velocities of the two bodies before the collision.
Elastic collision conserves both momentum and kinetic energy.
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Define center of mass. Derive an expression of position vector of Centre of Mass for two-particle System.
Centre of mass = (m1*r1 + m2*r2) / (m1 + m2).
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State and prove Law of conservation of angular momentum.
Angular momentum is conserved in an isolated system.
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The force applied by a man in pushing a block varies with displacement as shown in Fig. If the force is expressed in newton and displacement in metres, find the work done by him.
Work done = Area under the force-displacement graph.
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A pump on the ground floor of a building can pump up water to fill a tank of volume of 30 m 3 in 15 min. If the tank is 40 m above the ground, and the efficiency of the pump is 30%, how much electric power is consumed by the pump?
Power = (Volume * g * h) / (time * efficiency).
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A ball of mass 0.5 kg is swung in a vertical circle of radius r = 0.8 m at a constant speed of v = 4 m/s. Find the tension in the string when the ball is at the bottom of the circle.
Tension = mg + mv^2/r.
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State the factors on which the moment of inertia of a body depends.
Shape, mass distribution, and axis of rotation.
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A particle performs uniform circular motion with an angular momentum L. If the frequency of particle’s motion is doubled and its K.E is halved, what happens to the angular momentum?
Angular momentum remains constant.
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Find the centre of mass of three particles at the vertices of an equilateral triangle. The masses of the particles are 100g, 150g, and 200g respectively. Each side of the equilateral triangle is 0.5m long.
Centre of mass = (m1*x1 + m2*x2 + m3*x3) / (m1 + m2 + m3).
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A person is holding a bucket by applying a force of 10 Newton. He moves a horizontal distance of 5 m and then climbs up a vertical distance of 10 m. Find the total work done by him.
100 J
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A particle moves under a force F = C?????? from = 0 to ?????? = ?????? The work done is
2 1 cx
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If momentum decreases by 20%, K.E. will decrease by
36 %
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The energy that will be ideally radiated by a 100-kW transmitter in 1 hour is
36 x 10 9 J
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SI Unit of spring constant
n/m
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A bomb of 50 kg is fired from a cannon with a velocity 600 m/s. If the mass of the cannon is 103 kg, then its recoil velocity will be –
-30 m/s
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The direction of angular momentum vector is along
The axis of rotation
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A particle of mass m is moving with a constant velocity v parallel to x-axis in an x-y plane as shown in figure. Calculate angular momentum with respect to origin at any instant.
mvbk
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The centre of mass of a solid cone along the line from the centre of the base to the vertex is at
One-third of the height
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If a body is in translational equilibrium then the body
May be at rest or moving with uniform velocity
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The motion of planets in the solar system is an example of the conservation of
Angular momentum
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The moment of inertia of a body about a given axis is 2.4 kg/m 2. To produce a rotational kinetic energy of 750 J, an angular acceleration of 5 rad/s 2 must be applied about that axis for
3 sec
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Assertion: Mass and energy are not conserved separately, but they are conserved as a single entity called mass-energy. Reason: Mass and energy are inter-convertible in accordance with Einstein's relation: E = mc 2.
If assertion and reason are true and reason is the correct explanation of the assertion.
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Assertion: A chemical reaction is basically a rearrangement of atoms. If the total energy of the reactants is more than the products of the reaction, heat is released and the reaction is said to be an exothermic reaction. Reason: Energy spent against friction does not follow the law of conservation of energy.
If assertion is true but reason is false.
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Assertion: The centre of mass of an isolated system has a constant velocity. Reason: If centre of mass of an isolated system is already at rest, it remains at rest.
If assertion and reason are true and reason is the correct explanation of the assertion.
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Assertion: If polar ice melts, days will be longer. Reason: Moment of inertia decreases and thus angular velocity increases.
If assertion and reason are true and reason is the correct explanation of the assertion.
The full exam-length answer is in the app.
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