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M.C.Q. [1 M]

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23 questions · timed · auto-graded

Question 11 Mark

A metal in which even iron can float is:

  1. Sodium.
  2. Magnesium.
  3. Mercury.
  4. Manganese.
Answer
  1. Mercury.

Explanation:

This is because the density of mercury is greater than the iron.

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Question 21 Mark

Two objects of different masses falling freely near the surface of moon would:

  1. Have same velocities at any instant.
  2. Have different accelerations.
  3. Experience forces of same magnitude.
  4. Undergo a change in their inertia.
Answer
  1. Have same velocities at any instant.

Explanation:

We know,

v = u + at

⇒ v = 0 + gt

[Here, g is acc. Due to gravity on moon]

Thus, the equation of velocity for a freely falling body is independent of the mass of the body.

So, different masses that are dropped simultaneously with the same or zero initial velocity will have same velocity at any instant.

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Question 31 Mark

Consider the following information in respect of four objects A, B, C and D:

Object Density (kg/m3) Volume (m3) Mass (kg)
A - 2 4000
B 8000 4 -
C 2000 - 1000
D - 4 2000

Which object would float on water?

  1. A
  2. B
  3. C
  4. D
Answer
  1. D

Explanation:

This is because among these four objects, only the density of object D is less than water.

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Question 41 Mark

An object weighs 10N in air. When immersed fully in a liquid, it weighs only 8N. The weight of liquid displaced by the object will be:

  1. 2N
  2. 8N
  3. 10N
  4. 12N
Answer
  1. 2N

Explanation:

We know,

Buoyant force or weight of liquid displaced = Actual weight - Apparent weight

⇒ Weight of the liquid displaced = 10 - 8 = 2 N.

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Question 51 Mark

The relative densities of four liquids P, Q, R and S are 1.26, 1.0, 0.84 and 13.6 respectively. An object is floated in all these liquids, one by one. In which liquid the object will float with its maximum volume submerged under the liquid?

  1. P
  2. Q
  3. R
  4. S
Answer
  1. R

Explanation:

This is because R has the lowest density among the four.

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Question 61 Mark
An object is thrown vertically upwards with a velocity u, the greatest height h to which it will rise before falling back is given by:
  1. $\frac{\mu}{\text{g}}$
  2. $\frac{\mu^2}{2\text{g}}$
  3. $\frac{\mu^2}{\text{g}}$
  4. $\frac{\mu}{2\text{g}}$
Answer
  1. $\frac{\mu^2}{2\text{g}}$

Explanation:

At the maximum height 'h', the velocity becomes zero.

Using,

$\text{v}^2 = \mu^2 − 2\text{gh}$

$\Rightarrow 0 =\mu^2 − 2\text{gh}$

$\Rightarrow \text{h}=\frac{\mu^2}{2\text{g}}$

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Question 71 Mark

Two particles are placed at some distance from each other. If, keeping the distance between them unchanged, the mass of each of the two particles is doubled, the value of gravitational force between them will become:

  1. $\frac{1}{4}\text{times}$

  2. $\frac{1}{2}\text{times}$

  3. $4\text{ times}$

  4. $2\text{ times}$

Answer
  1. 4 times

Explanation:

Here, m1 and m2 are doubled and r remains constant.

$\text{F} = \text{G}\times\text{m}_1\times\frac{\text{m}_2}{\text{r}^2}$

$=\text{G}\times2\text{m}_1\times\frac{2\text{m}_2}{\text{r}^2}$

$= 4\text{G}\times\text{m}_1\times\frac{\text{m}^2}{\text{r}^2}$

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Question 81 Mark

 In the relation $\text{F}=\text{G}\times\text{M}\times\frac{\text{m}}{\text{d}^2},$ the quantity G:

  1. Depends on the value of g at the place of observation.
  2. Is used only when the earth is one of the two masses.
  3. Is the greatest on the surface of the earth.
  4. Is of the same value irrespective of the place of observation.
Answer
  1. Is of the same value irrespective of the place of observation.

Explanation:

This is because G is constant in the given equation.

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Question 91 Mark

The force of attraction between two unit point masses separated by a unit distance is called:

  1. Gravitational potential.
  2. Acceleration due to gravity.
  3. Gravitational field strength.
  4. Universal gravitational constant.
Answer
  1. Universal gravitational constant.
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Question 101 Mark

he value of g on the surface of the moon:

  1. Is the same as on the earth.
  2. Is less than that on the earth.
  3. Is more than that on the earth.
  4. Keeps changing day by day.
Answer
  1. Is less than that on the earth.

Explanation:

The value of g on moon is $\frac{1}{6}$ times its value on the earth.

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Question 111 Mark

An apple of mass 100g falls from a tree because of gravitational attraction between the earth and the apple. If the magnitude of force exerted by the earth on the apple be F1, and the magnitude of force exerted by the apple on the earth be F2, then:

  1. F1 is very much greater than F2
  2. F2 is very much greater than F1
  3. F1 is only a little greater than F2
  4. F1 and F2 are exactly equal.
Answer
  1. F1 and F2 are exactly equal.

Explanation:

According to Newton's third law of motion, if an object exerts a force on another object, then the second object exerts an equal and opposite force on the first object.

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Question 121 Mark

The value of acceleration due to gravity of earth:

  1. Is the same on equator and poles.
  2. Is the least on poles.
  3. Is the least on equator.
  4. Increases from pole to equator.
Answer
  1. Is the least on equator.

Explanation:

because its value decreases on moving near the equator.

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Question 131 Mark

The density of water is 1000kg/m3 and the density of copper is 8900kg/m3. Which of the following statements is incorrect?

  1. $=\frac{\text{The density of a certain volume of copper}}{\text{The density of the same volume of water}}=8.9$

  2. $=\frac{\text{The volume of a certain mass of copper}}{\text{The volume of the same mass of water}}=8.9$

  3. $=\frac{\text{The weight of a certain volume of copper}}{\text{The weight of the same volume of water}}=8.9$

  4. $=\frac{\text{The mass of a certain volume of copper}}{\text{The mass of the same volume of water}}=8.9$

Answer
  1. $=\frac{\text{The volume of a certain mass of copper}}{\text{The volume of the same mass of water}}=8.9$

Explanation:

This is because the density is defined as the ratio of the mass of the object to the volume of the object.

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Question 141 Mark

The weight of an object at the centre of the earth of radius R is:

  1. Zero.
  2. R times the weight at the surface of the earth.
  3. Infinite.
  4. $\frac{1}{\text{R}^2}$ times the weight at the surface of the earth.
Answer
  1. Zero.

Explanation:

because g = 0.

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Question 151 Mark

The mass of moon is about 0.012 times that of earth and its diameter is about 0.25 times that of earth. The value of G on the moon will be:

  1. Less than that on the earth.
  2. More than that on the earth.
  3. Same as that on the earth.
  4. About one-sixth of that on the earth.
Answer
  1. Same as that on the earth.

Explanation:

G is universal gravitational constant. So, it remains constant everywhere.

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Question 161 Mark

The value of quantity G in the formula for gravitational force:

  1. Depends on mass of the earth only.
  2. Depends on the radius of earth only.
  3. Depends on both mass and radius of earth.
  4. Depends neither on mass nor on radius of earth.
Answer
  1. Depends neither on mass nor on radius of earth.

Explanation:

Because it is a constant in the formula for gravitational force.

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Question 171 Mark

The gravitational force of attraction between two objects is x. Keeping the masses of the objects unchanged, if the distance between the objects is halved, then the magnitude of gravitational force between them will become:

  1. $\frac{\text{x}}{4}$

  2. $\frac{\text{x}}{2}$

  3. $2\text{x}$

  4. $4\text{x}$

Answer
  1. 4x

Explanation:

G = x

m1 and m2 are constant

Since, r is reduced to half, let, $\text{r} =\frac{\text{r}}{2}$

Gravitation force, $\text{F}=\text{G}\times\text{m}_1\times\frac{\text{m}_2}{\text{r}_2} = \text{x}$

When r is reduced to half the force becomes, $\text{F}=\text{G}\times\text{m}_1\times\frac{\text{m}_2}{(\text{r})^2}$

$= \text{G}\times\text{m}_1\times\frac{\text{m}_2}{\Big(\frac{\text{r}}{2}\Big)^2}$

$= 4\text{x}$

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Question 181 Mark

According to one of the Kepler's laws of planetary motion:

  1. $\text{r}^2\propto\text{T}^3$

  2. $\text{r}\propto\text{T}^2$

  3. $\text{r}^3\propto\text{T}^2$

  4. $\text{r}^3\propto\frac{1}{\text{T}^2}$

Answer
  1. $\text{r}^3\propto\text{T}^2$

Explanation:

According to Kepler’s third law of planetary motion, the cube of mean distance of a planet from the sun is directly proportional to the square of time it takes to move around the sun.

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Question 191 Mark

Four balls, A, B, C and D displace 10mL, 24mL, 15mL and 12mL of a liquid respectively, when immersed completely. The ball which will undergo the maximum apparent loss in weight will be:

  1. A
  2. B
  3. C
  4. D
Answer
  1. B

Explanation:

This is because B has displaced maximum amount of water.

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Question 201 Mark

A rectangular wooden block has length, breadth and height of 50 cm, 25cm and 10cm, respectively. This wooden block is kept on ground in three different ways, turn by turn. Which of the following is the correct statement about the pressure exerted by this block on the ground?

  1. The maximum pressure is exerted when the length and breadth form the base.
  2. The maximum pressure is exerted when length and height form the base.
  3. The maximum pressure is exerted when breadth and height form the base.
  4. The minimum pressure is exerted when length and height form the base.
Answer
  1. The maximum pressure is exerted when breadth and height form the base.

Explanation:

This is because the pressure is inversely proportional to the surface area.

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Question 211 Mark

An object is put in three liquids having different densities, one by one. The object floats with $\frac{1}{9},\frac{2}{11}$ and $\frac{3}{7}$ parts of its volume outside the surface of liquids of densities d1, d2 and d3 respectively. Which of the following is the correct order of the densities of the three liquids ?

  1. d1 > d2 > d3
  2. d2 > d3 > d1
  3. d1 < d2 < d3
  4. d3 > d2 >d1
Answer
  1. d1 < d2 < d3

Explanation:

This is because if the density of the liquid is more than the object, then the object will float on the liquid. The more the object gets immersed in the liquid, lesser is the density of the liquid.

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Question 221 Mark

The law of gravitation gives the gravitational force between:

  1. The earth and a point mass only.
  2. The earth and the sun only.
  3. Any two bodies having some mass.
  4. Any two charged bodies only.
Answer
  1. Any two bodies having some mass.

Explanation:

Any two bodies having the same mass.

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Question 231 Mark

The atmosphere consisting of a large number of gases is held to the earth by:

  1. Winds.
  2. Clouds.
  3. Earth's magnetic field.
  4. Gravity.
Answer
  1. Gravity.

Explanation:

Gravity of the earth holds the atmosphere consisting of a large number of gases.

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