Question types

Model Paper 10 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 10 questions

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

Consider two rods of same length and different specific heats $\left( c _1, c _2\right)$, thermal conductivities $\left( K _1, K_2\right)$ and area of cross-sections $\left(A_1, A_2\right)$ and both having temperatures $\left(T_1, T_2\right)$ at their ends. If their rate of loss of heat due to conduction is equal, then:
  • A
    $\frac{K_2 A_1}{c_2}=\frac{K_1 A_2}{c_1}$
  • B
    $K _1 A_1= K _2 A_2$
  • C
    $K _2 A_1= K _1 A_2$
  • D
    $\frac{K_1 A_1}{c_1}=\frac{K_2 A_2}{c_2}$
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A Merry-go-round, made of a ring-like platform of radius $R$ and mass $M$, is revolving with angular speed $\omega$. A person of mass M is standing on it. At one instant, the person jumps off the round, radially away from the centre of the round (as seen from the round). The speed of the round afterwards is
  • A
    $2 \omega$
  • B
    $0$
  • C
    $\frac{\omega}{2}$
  • D
    $\omega$
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As observed from earth, the sun appears to move in an approximate circular orbit. For the motion of another planet like mercury as observed from earth, this would
  • A
    not be true because the major gravitational force on mercury is due to sun
  • B
    not be true because mercury is influenced by forces other than gravitational forces
  • C
    be similarly true
  • D
    not be true because the force between earth and mercury is not inverse square law
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A steel ball is dropped in oil, then
  • A
    the speed of ball will keep on decreasing
  • B
    the ball stops
  • C
    the ball attains constant velocity after some time
  • D
    the speed of ball will keep on increasing
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The number of possible natural oscillations of air column in a pipe closed at one end of length 85 cm whose frequencies lie below 1250 Hz are (velocity of sound $=340 ms^{-1}$ )
  • A
    4
  • B
    6
  • C
    7
  • D
    5
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The wavelength $\lambda$ associated with a moving particle depends upon its mass m , its velocity v and Planck's constant h. Show dimensional relation between them.
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Q 113 Marks Question3 Marks
A soap bubble of radius 4 cm and surface tension 30 dyne $cm ^{-1}$ is blown at the end of a tube of length 10 cm and internal radius 0.20 cm . If the viscosity of air is $1.89 \times 10^{-4}$ poise, find the time taken by the bubble to be reduced to a radius of 2 cm .
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Q 123 Marks Question3 Marks
Eight rain drops of radius 1 mm each falling down with terminal velocity of $5 cms ^{-1}$ coalesce to form a bigger drop. Find the terminal velocity of the bigger drop.
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Q 133 Marks Question3 Marks
A body of mass 15 kg is hung by a spring balance in a lift. What would be the reading of the balance when
i. the lift is ascending with an acceleration of $2 ms^{-2}$
ii. descending with the same acceleration
iii. descending with a constant velocity of $2 ms^{-1}$ ?
Take $g =10 ms^{-2}$.
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Q 153 Marks Question3 Marks
a. State impulse-momentum theorem.
b. A ball of mass 0.1 kg is thrown against a wall. It strikes the wall normally with a velocity of $30 m / s$ and rebounds with a velocity of $20 m / s$. Calculate the impulse of the force exerted by the ball on the wall.
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At what angle should a body be projected with a velocity $24 ms^{-1}$ just to pass over the obstacle 16 m high at a horizontal distance of 32 m ? Take $g =10 ms^{-2}$.
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The motion of a particle executing simple harmonic motion is described by the displacement function, $x ( t )= A \cos (\omega t$ $+\phi)$ If the initial $(t=0)$ position of the particle is 1 cm and its initial velocity is $\omega cm / s$, then what are its amplitude and initial phase angle? The angular frequency of the particle is $\pi s ^{-1}$. If instead of the cosine function, we choose the sine function to describe the $SHM , x = B \sin (\omega t +\phi)$, then what are the amplitude and initial phase of the particle with the above initial conditions?
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Assertion (A): Two vectors are equal when their magnitude and direction both are equal.
Reason (R): For any two vectors $\overrightarrow{ A }$ and $\overrightarrow{ B }$, if angle between them is $\frac{\pi}{4}$ rad, then $\overrightarrow{ A } \times \overrightarrow{ B }=\overrightarrow{ A } \cdot \overrightarrow{ B }$.
  • 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: The time period of revolution of a satellite close to surface of earth is smaller than that revolving away from surface of earth.
Reason: The square of time period of revolution of a satellite is directly proportional to cube of its orbital radius.
  • 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 (A): Efficiency of a Carnot engine increases on reducing the temperature of sink.
Reason (R): The efficiency of a Carnot engine is defined as ratio of net mechanical work done per cycle by the gas to the amount of heat energy absorbed per cycle from the source.
  • 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 (A): A quick collision between two bodies is more violent than slow collision, even when initial and final velocities are identical.
Reason (R): The rate of change of momentum determines that the force is small or large.
  • 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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