SAT (Stage-2) Mock Test

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SAT (Stage-2) Mock Test - 54

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Weekly Quiz Competition

Question 1
1 / -0

The effective resistance between A and B is

A
9 Ω

B
1 Ω

C
6 Ω

D
3 Ω

Solution
Question 2
1 / -0

In the region around a moving charge, there is

A
electric field only

B
magnetic field only

C
neither electric field nor magnetic field

D
electric field as well as magnetic field

Solution

In the region around a moving charge, there is electric field as well as magnetic field. A charged particle moving without acceleration produces an electric as well as a magnetic field. Hence, the correct choice is (4).
Question 3
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There are two blocks A and B of masses 2 kg and 3 kg, respectively. The ground is smooth. P is an external force of 10 N. The force exerted by B on A is

A
4 N

B
6 N

C
8 N

D
10 N

Solution
Question 4
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If the radius of Earth decreases by 1% and its mass remains the same, then the acceleration due to gravity

A
increases by 1%

B
decreases by 1%

C
increases by 2%

D
decreases by 2%

Solution
Question 5
1 / -0

A block of mass M is pulled along a horizontal frictionless surface by a rope of mass m. If a force F is applied at one end of the rope, the force which the rope exerts on the block is

A
Fm(M + m)

B
F

C
FM/(m + M)

D
zero

Solution

Let the common acceleration of the block and rope be 'a' and the force exerted by the rope on the block be 'f'.

We know that equal and opposite force will be exerted by the block on the rope.
Question 6
1 / -0

A person carrying a load of 50 kg on his head moves 10 m on a straight horizontal road. The amount of work done by him is

A
500 joules

B
50 _^×9.8 ×10 joules

C
zero

D
None of these

Solution

The amount of work done by a force F, as it moves an object through a distance d, is given by the dot product of force vector and distance vector.
W =
As the force is acting upwards in case of a man lifting a weight on his head and distance moved is in forward direction, the work done is:
W = Fd cosΘ
= Fd cos 90° (angle between F and d is 90°)
= 0
Question 7
1 / -0

An object is placed in front of a convex mirror between f and 2f. The image formed must be

A
real, inverted, and smaller in size

B
virtual, erect, and smaller in size

C
virtual, erect, and larger in size

D
real, inverted, and larger in size

Solution
Question 8
1 / -0

An eye specialist prescribes spectacles having a combination of convex lens of focal length 50 cm in contact with a concave lens of focal length 25 cm. The power of this combination of lenses (in dioptre) is

A
-2.5

B
-1.5

C
-0.04

D
-2.0

Solution

Power for convex lens = 100/50 = 2 D
Power for concave lens = -100/25 = -4 D
Total power = -4 D + 2 D = -2 D
Question 9
1 / -0

Coloured band of light obtained by dispersion of white light is called

A
shadow

B
image

C
mirage

D
spectrum

Solution

Coloured band of light obtained by dispersion of white light is called spectrum.
Question 10
1 / -0

An object is at a height R/2 above the Earth. What is the value of acceleration due to gravity at that instant?

A
g/2

B
(4/9)g

C
0

D
(2/5)g

Solution

Consider an object at a height R/2 from the Earth's surface, where R = radius of the Earth.

Value of acceleration due to gravity at that instant will be:

Or g' = 4/9(GM/R²)
Or g' = (4/9)g
Hence, option 2 is correct.
Question 11
1 / -0

The path of a planet around the sun is elliptical as shown in the figure. Its velocity is greatest at

A
K

B
J

C
M

D
L

Solution

In an elliptical orbit, the velocity is greatest at the perigee of the orbit. It means, when the object is closest to the Sun.
Question 12
1 / -0

A ball is released from the top of a tower of height h metres. It takes T seconds to reach the ground. Where is the ball at the time T/2 seconds?

A
At h/4 m from the ground

B
At h/2 m from the ground

C
At 3h/4 m from the ground

D
Depends upon the mass and volume of the ball

Solution

Height = h metres, Time = T seconds
Since in the beginning, u = 0 m/s
Question 13
1 / -0

The sound of a lion is different from that of a mosquito because

A
both the animals have different sizes

B
both the sounds travel with different velocities

C
both the sounds have different pitches

D
both the sounds have different phases

Solution

Roaring of a lion produces a sound of low pitch and high intensity/loudness, whereas the buzzing of a mosquito produces a sound of high pitch and low intensity/loudness. This is how the roar of a lion can be differentiated from the buzzing of a mosquito.
Question 14
1 / -0

The pH of an aqueous solution of hydrochloric acid, when 0.365 g of it is added to 1L solution, will be around

A
2

B
7

C
9

D
12

Solution

Number of moles of HCl in 1L of solution = w/M = 0.365/36.5 = 0.01
[H⁺] = 0.01 = 10^-2
pH = -log 10^-2= 2
Hence, the pH of the given aqueous solution of hydrochloric acid will be around 2.
Question 15
1 / -0

Directions For Questions

Two different experiments were conducted in which 56 ml each of O₂and H₂ gas was collected under same conditions of temperature and pressure.

In context of the above data, analyse the two statements given below and select the correct option.

...view full instructions

Statement I: The two samples of gas will contain the same number of atoms and molecules.
Statement II: The two samples of gas will weigh the same.

A
Both statements I and II are correct and statement II is the correct reason for I.

B
Both statements I and II are correct but statement II is not the correct reason for I.

C
Statement I is correct but statement II is incorrect.

D
Both statements I and II are incorrect.

Solution

According to Avogadro's law, equal moles of gases under similar conditions of temperature and pressure occupy equal volumes.
Conversely, equal volumes of gases under similar conditions of temperature and pressure will constitute equal moles.
Therefore, equal moles of O₂ and H₂ will have equal molecules and since both the gases are diatomic, they will constitute equal number of atoms.
Hence, statement I is correct.
However, since the gases have different molar masses, equal moles of these gases will have different weights.
Hence, statement II is incorrect.