Question types

Model Paper 9 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 9 questions

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

The displacement of the wave given by equation $y ( x , t )= a \sin ( kx -\omega t +\phi)$, where $\phi=0$ at point x and $t =0$ is same as that at point
  • A
    Both $x+\frac{2 n \pi}{k}$ and $k x+2 n \pi$
  • B
    $x+\frac{2 n \pi}{k}$
  • C
    $x+2 n \pi$
  • D
    $k x+2 n \pi$
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One large soap bubble of diameter D breaks into 27 bubbles having surface tension T. The change in surface energy is
  • A
    $2 \pi TD ^2$
  • B
    $8 \pi TD ^2$
  • C
    $4 \pi TD ^2$
  • D
    $\pi TD ^2$
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Two identical metallic balls, whose temperatures are $200^{\circ} C$ and $400^{\circ} C$ respectively, are placed in an enclosure at $27^{\circ} C$. The ratio of heat-loss of the balls will be
  • A
    $1: 4$
  • B
    $\frac{(473)^4-(300)^4}{(673)^4-(300)^4}$
  • C
    $1: 2$
  • D
    $\frac{(200)^4-(27)^4}{(400)^4-(27)^4}$
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The angular momentum of a moving body remains constant, if
  • A
    net pressure is applied
  • B
    net external torque is applied
  • C
    net external force is applied
  • D
    net external torque is not applied
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An artificial satellite is going round the earth, close to its surface. What is the time taken by it to complete one round? Given radius of the earth $=6400 km$.
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A cyclist speeding at $18 km / h$ on a level road takes a sharp circular turn of radius 3 m without reducing the speed. The coefficient of static friction between the tyres and the road is 0.1 . Will the cyclist slip while taking the turn?
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If the earth were made of lead of relative density 11.3 , what then would be the value of acceleration due to gravity on the surface of the earth? Radius of the earth $=6.4 \times 10^6 m$ and $G =6.67 \times 10^{-11} Nm ^2 kg^{-2}$.
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Q 113 Marks Question3 Marks
The manual of a car instructs the owner to inflate the tyres to a pressure of 200 kPa .
i. What is the recommended gauge pressure?
ii. What is the recommended absolute pressure?
iii. If after the required inflation of the tyres, the car is driven to a mountain peak where the atmospheric pressure is $10 \%$ below that at sea level, what will the tyre gauge read?
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Q 133 Marks Question3 Marks
Give the magnitude and direction of the net force acting on a stone of mass 0.1 kg ,
a. just after it is dropped from the window of a stationary train,
b. just after it is dropped from the window of a train running at a constant velocity of $36 km / h$.
c. just after it is dropped from the window of a train accelerating with $1 ms^{-2}$,
d. lying on the floor of a train which is accelerating with $1 ms^{-2}$, the stone being at rest relative to the train.
Neglect air resistance throughout.
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Q 143 Marks Question3 Marks
A glass plate of length 10 cm , breadth 4 cm and thickness 0.4 cm , weighs 20 g in air. It is held vertically with a long side horizontal and half the plate immersed in water. What will be its apparent weight? The surface tension of water $=70$ dyne $cm ^{-1}$.
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Q 164 Marks Question4 Marks
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Q 174 Marks Question4 Marks
In a gas the particles are always in a state of random motion, all the particles move at different speed constantly colliding and changing their speed and direction, as speed increases it will result in an increase in its kinetic energy.
Image
1. If the temperature of the gas increases from 300 K to 600 K then the average kinetic energy becomes:
(a) same    (b) becomes double    (c) becomes half    (d) become triple
2. What is the average velocity of the molecules of an ideal gas?
(a) Infinite    (b) Same    (c) Increase    (d) Zero
3. Cooking gas containers are kept in a lorry moving with uniform speed. The temperature of the gas molecules inside will ___________.
(a) decrease    (b) Rises    (c) increase    (d) remains same
4. Find the ratio of average kinetic energy per molecule of Oxygen and Hydrogen:
(a) $1: 1$    (b) $4: 1$    (c) $1: 2$    (d) $1: 4$
OR
The velocities of the three molecules are $3 v , 4 v$, and 5 v . calculate their root mean square velocity?
(a) 4.0 v   (b) 4.02 v    (c) 4.08 v    (d) 4.04 v
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A solid disc and a ring, both of radius 10 cm are placed on a horizontal table simultaneously, with initial angular speed equal to $10 \pi rad s ^{-1}$. Which of the two will start to roll earlier? The co-efficient of kinetic friction is $\mu_k=$
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i. Analytically, find the resultant $\vec{R}$ of two vectors $\vec{A}$ and $\vec{B}$ inclined at an angle $\theta$.
ii. Find the angle between two vectors $\vec{P}$ and $\vec{Q}$ if resultant of the vectors is given by $R ^2= P ^2+ Q ^2$.
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Show that the angular momentum of a particle is the product of its linear momentum and moment arm. Also, show that the angular momentum is produced only by the angular component of linear momentum. What is the physical meaning of angular momentum?
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i. Pick out only the vector quantities from the following: Temperature, pressure, impulse, time, power, charge.
ii. Show by drawing a neat diagram that the flight of a bird is an example of composition of vectors.
iii. A man is travelling at $10.8 km h ^{-1}$ in a topless car on a rainy day. He holds his umbrella at an angle $37^{\circ}$ to the vertical to protect himself from the rain which is falling vertically downwards. What is the velocity of the rain? $\left[\right.$ Given $\cos 37^{\circ}=\frac{4}{5}$ ]
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Let us take the position of mass when the spring is unstretched as $x=0$ and the direction from left to right as the positive direction of x -axis. Given x as a function of time t for the oscillating mass, if at the moment we start the stopwatch $(t=0)$, the mass is
i. at the mean position,
ii. at the maximum stretched position and
iii. at the maximum compressed position.
In what way do these functions for SHM differ from each other, in frequency, in amplitude or the initial phase?
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Assertion (A): According to the law of conservation of mechanical energy change in potential energy is equal and opposite to the change in kinetic energy.
Reason (R): Mechanical energy is not a conserved quantity.
  • 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 force act upon the earth revolving in a circular orbit about the sun. Hence work should be done on the earth.
Reason (R): The necessary centripetal force for the circular motion of the earth, comes from the gravitational force between earth and the sun.
  • 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: Reversible system are difficult to find in real world.
Reason: Most processes are dissipative in nature.
  • 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): When a body is dropped or thrown horizontally from the same height, it would reach the ground at the same time.
Reason (R): Horizontal velocity has no effect on the vertical direction.
  • 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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