Question types

Model Paper 8 question types

38 questions across 6 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

38
Questions
6
Question groups
5
Question types
Sample Questions

Model Paper 8 questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

A liquid boils when its vapour pressure is equal to
  • A
    atmospheric pressure
  • B
    double of atmospheric pressure
  • C
    6.0 cm of Hg column
  • D
    1000 pa or more
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The instantaneous angular position of a point on a rotating wheel is given by the equation $\theta(t)=2 t^3-6 t^2$. The torque on the wheel becomes zero at
  • A
    $t =0.25 s$
  • B
    $t =0.5 s$
  • C
    $t=2 s$
  • D
    $t=1 s$
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Deimos, a moon of Mars, is about 12 km in diameter with mass $2.0 \times 10^{15} kg$. Suppose you are stranded alone on Deimos and want to play a one-person game of baseball. You would be the pitcher, and you would be the batter! With what speed would you have to throw a baseball so that it would go into a circular orbit just above the surface and return to you so you could hit it?
  • A
    4.7 m/s
  • B
    5.1 m/s
  • C
    4.3 m/s
  • D
    4.9 m/s
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A raindrop is released from a cloud 1000 m above ground. When the drop is about to hit the ground, its speed will be
  • A
    Cannot be predicted
  • B
    Constant terminal speed
  • C
    Decreasing due to retardation from air drag
  • D
    Increasing due to acceleration due to gravity
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The wavelength difference of light waves of wave numbers $2 \times 10^6 / m$ and $2.25 \times 10^6 / m$ is
  • A
    $0.556 \times 10^6 m$
  • B
    $0.556 \times 10^{-6} m$
  • C
    $0.0556 \times 10^6 m$
  • D
    $0.0556 \times 10^{-6} m$
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A spherical planet has mass $M _{ P }$ and diameter $D _{ P }$. A particle of mass $m$ falling freely near the surface of this planet will experience acceleration due to gravity, equal to whom?
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Two bodies of masses $M$ and $m(M>m)$ are allowed to fall freely from the same height. If air resistance for each body is same, which one will reach the ground first.
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Consider a simple pendulum, having a bob attached to a string, that oscillates under the action of the force of gravity. Suppose that the period of oscillation of the simple pendulum depends on its length (l), mass of the bob (m) and acceleration due to gravity (g). Derive the expression for its time period using method of dimensions.
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Q 113 Marks Question3 Marks
A ball floats on the surface of water in a container exposed to the atmosphere. Will the ball remain immersed at its initial depth or will it sink or rise somewhat if the container is shifted to the moon?
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Q 123 Marks Question3 Marks
In a glass capillary tube, water rises upto a height of 10.0 cm while mercury fall down by 5.0 cm in the same capillary. If the angles of contact for mercury glass is $60^{\circ}$ and water glass is $0^{\circ}$, then find the ratio of surface tension of mercury and water.
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Q 133 Marks Question3 Marks
A moving neutron with speed $10^6 m / s$ collides with a deuteron at rest and sticks to it. Find the speed of the combination if masses of the neutron and deuteron are $1.67 \times 10^{-27} kg$ and $3.34 \times 10^{-27} kg$, respectively.
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Q 143 Marks Question3 Marks
In a refrigerator, heat from inside of a refrigerator at 270 K is transferred to a room at 300 K .
i. What is its coefficient of performance?
ii. How much heat will be delivered to the room for each joule of electric energy consumed? Assume the refrigerator to be an ideal one.
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Q 153 Marks Question3 Marks
State three basic laws of motion. Show that the first law of motion gives the definition of force and the second law of motion gives the measure of force.
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A particle of mass $m$ is released from point P at $x = x _0$ on the X -axis from origin O and falls vertically along the Y-axis, as shown in Fig.
Image

i. Find the torque $t$ acting on the particle at a time $t$ when it is at point Q with respect to O .
ii. Find the angular momentum L of the particle about O at this time t .
iii. Show that $\tau=\frac{d L}{d t}$ in this example.
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On an open ground, a motorist follows a track that turns to his left by an angle of $60^{\circ}$ after every 500 m . Starting from a given turn, specify the displacement of the motorist at the third, sixth and eighth turn. Compare the magnitude of the displacement with the total path length covered by the motorist in each case.
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A marble rolls along a table at a constant speed of $1.00 m / s$ and then falls off the edge of the table to the floor 1.00 m below,
i. How long does the marble take to reach the floor?
ii. At what horizontal distance from the edge of the table does the marble land?
iii. What is its velocity as it strikes the floor?
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Find the total energy of the particle executing S.H.M. and show graphically the variation of P.E. and K.E. with time in S.H.M. What is the frequency of these energies with respect to the frequency of the particle executing S.H.M?
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Clockwork refers to the inner workings of mechanical clock or watch (where it is known as "movement") and different types of toys which work using a series of gears driven by a spring. Clockwork device is completely mechanical and its essential parts are:
- A key (or crown) which you wind to add energy
- A spiral spring in which the energy is stored
- A set of gears through which the spring's energy is released. The gears control how quickly (or slowly) a clockwork machine can do things. Such as in mechanical clock/watch the mechanism is the set of hands that sweep around the dial to tell the time. In a clockwork car toy, the gears drive the wheels.
Winding the clockwork with the key means tightening a sturdy metal spring, called the mainspring. It is the process of storing potential energy. Clockwork springs are usually twists of thick steel, so tightening them (forcing the spring to occupy a much smaller space) is actually quite hard work. With each turn of the key, fingers do work and potential energy is stored in the spring. The amount of energy stored depends on the size and tension of the spring. Harder a spring is to turn and longer it is wound, the more energy it stores.
Image

While the spring uncoils, the potential energy is converted into kinetic energy through gears, cams, cranks and shafts which allow wheels to move faster or slower. In an ancient clock, gears transform the speed of a rotating shaft so that it drives the second hand at one speed, the minute hand at $\frac{1}{60}$ of that speed, and the hour hand at $\frac{1}{3600}$ of that speed. Clockwork toy cars often use gears to make themselves race along at surprising speed.

1. What is the meaning of movement of old age mechanical clocks?
(a) The pendulum of the clock
(b) The gears which move the hands of the clock
(c) A spring and combination of gears which move the hands of the clock
(d) The hands of the clock
2. What type of energy is stored in the spring while winding it?
(a) Potential  (b) Heat  (c) Both kinetic and potential  (d) Kinetic
3. When the spring of a clockwork uncoils
(a) Kinetic energy is converted into potential energy
(b) Potential energy is converted into kinetic
(c) Potential energy is converted into heat, light and sound energy
(d) Kinetic energy is converted into heat, light and sound energy
OR
More energy is stored in a spring if the
(a) Spring is larger, harder and wound fur a longer time
(b) Spring is smaller, harder and wound for a shorter time
(c) Spring is larger, harder and wound for a shurter time
(d) Spring is larger, softer and wound for a shorter time
4. In clockwork devices, ____________ transform the speed of a rotating ____________ to drive wheels slower or faster.
(a) Shaft, spring  (b) shaft, gear  (c) Gear, Shaft  (d) Spring, gear
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Assertion (A): If $\vec{A}$ is parallel to $\vec{B}$ then $\vec{A} \times \vec{B}$ is a null vector.
Reason (R): The magnitude cross product of two vectors is given by, $|\vec{A} \times \vec{B}|= AB \sin \theta$.
  • A
    Both A and R are true and R is the correct explanation of A.
  • B
    Both A and R are true but R is not the correct explanation of A.
  • C
    A is true but R is false.
  • D
    A is false but R is true.
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Assertion: Moon travellers tie heavy weight at their back before landing on moon.
Reason: The value of g is small at moon.
  • A
    Assertion and reason both are correct statements and reason is correct explanation for assertion.
  • B
    Assertion and reason both are correct statements but reason is not correct explanation for assertion.
  • C
    Assertion is correct statement but reason is wrong statement.
  • D
    Assertion is wrong statement but reason is correct statement.
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Asseertion: Thermodynamics processes in nature are irreversible.
Reason: Dissipative effects cannot be eliminated.
  • A
    Assertion and reason both are correct statements and reason is correct explanation for assertion.
  • B
    Assertion and reason both are correct statements but reason is not correct explanation for assertion.
  • C
    Assertion is correct statement but reason is wrong statement.
  • D
    Assertion is wrong statement but reason is correct statement.
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Assertion: In elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision.
Reason: In an elastic collision, the linear momentum is conserved.
  • A
    Assertion and reason both are correct statements and reason is correct explanation for assertion.
  • B
    Assertion and reason both are correct statements but reason is not correct explanation for assertion.
  • C
    Assertion is correct statement but reason is wrong statement.
  • D
    Assertion is wrong statement but reason is correct statement.
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