SAT (Stage-2) Mock Test

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SAT (Stage-2) Mock Test - 41

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Weekly Quiz Competition

Question 1
1 / -0

A man tries to remain in equilibrium by pushing his hands and feet against two parallel walls. For equilibrium,

A
he may exert unequal forces on the two walls

B
the forces of friction at the two walls must be equal

C
friction must be present on both the walls

D
the coefficients of friction must be the same between the walls and the man

Solution

For equilibrium, friction must be present on both the walls. Otherwise, his hands or his feet will slip and he will not be able to maintain the equilibrium.
Question 2
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The kinetic energy of a body becomes four times its initial value while travelling along a straight line. The new momentum will be

A
three times its initial value

B
four times its initial value

C
twice its initial value

D
unchanged

Solution

Now, momentum is the product of mass and velocity.
Therefore, v₂ = 2v₁ means that new momentum is twice the original momentum.
Question 3
1 / -0

If a man approaches a plane mirror at the rate of 2 km/hr, then his image would approach him at the rate of

A
1 km/hr

B
2 km/hr

C
4 km/hr

D
8 km/hr

Solution

Given: Speed of the man (object) = 2 km/hr
Let's consider that the distance between the man and the plane mirror be 'x' km.
So, the distance between the man and his image will be '2x' km because the distance of image and object in case of the plane mirror is equal.
Thus, speed of the man = x/t = 2 km/hr
Then, speed of the image = 2x/t = 4 km/hr
Question 4
1 / -0

When will the magnifying power of an astronomical telescope be increased?

A
If we increase the focal length of the objective

B
If we increase the focal length of the eyepiece

C
If we decrease the focal length of the objective

D
If we decrease the focal length of the objective and at the same time, increase the focal length of the eyepiece

Solution

Magnifying power of the telescope is given by:

If we increase the focal length of the objective, the magnifying power of an astronomical telescope will be increased.
Question 5
1 / -0

A ray of light strikes a thick parallel sided glass slab with an angle of incidence of 40°. The angle of the beam emerging from the other side of the slab with the normal is

A
40°

B
20°

C
60°

D
None of these

Solution

In the glass slab, angle of incidence = angle of emergence
A ray of light strikes a thick parallel sided glass slab with an angle of incidence of 40°. The angle of the beam emerging from the other side of the slab with the normal is 40°.
Question 6
1 / -0

Which of the following curves best represents the variation of density of water with temperature?

A

B

C

D

Solution
Question 7
1 / -0

In case of uniform circular motion, the acceleration is

A
zero

B
constant in magnitude and directed radially inwardsvariable in magnitude

C
variable in magnitude

D
variable in magnitude but tangential to the circle

Solution

In case of a circular motion,

In uniform circular motion, direction of velocity (tangential) as well direction of acceleration(radially inward) keeps on changing.
Magnitude of velocity and magnitude of acceleration is constant.
Question 8
1 / -0

A string A has double the length, double the tension, double the diameter and double the density than string B. The ratio of their fundamental frequencies of vibration (n_A and n_B) is

A
1/4

B
1/2

C
2

D
4

Solution
Question 9
1 / -0

Which of the following processes is called chloralkali process?

A
Ca(OH)₂ + Cl₂→ CaOCl₂ + H₂O

B
NaCl + H₂O + CO₂ + NH₃ → NH₄Cl + NaHCO₃

C
2NaCl + 2H₂O → 2NaOH + Cl₂ + H₂

D
2Na + 2HCl → 2NaCl + H₂

Solution

Chloralkali is an industrial process for the electrolysis of sodium chloride solution. The following reaction takes place in this process:

2NaCl + 2H₂O → 2NaOH + Cl₂ + H₂
Question 10
1 / -0

Which of the following has the highest pH value?

A
NaOH

B
HCl

C
CH₃COOH

D
Ca(OH)₂

Solution

For bases, the value of pH is greater than 7, i.e. the stronger the base, the higher the pH value. Out of the given options, HCl and CH₃COOH are acids whose pH value is less than 7 and out of Ca(OH)₂ and NaOH, NaOH is the stronger base. Thus, NaOH has the highest pH value among these all.
Question 11
1 / -0

The number of atoms present in 112 grams of N₂ is

A
24 × 10²³

B
4.2 × 10²³

C
48.176 × 10²³

D
4.8 ×10²³

Solution

Molecular weight of N₂ = 28 g
Therefore, 112 g of N₂ is equivalent to 112/28 = 4 moles of nitrogen molecules.

Therefore, 112 g of N₂ contains 4 × 6.022 × 10²³ molecules = 24.088 × 10²³ molecules or 2 × 24.088 × 10²³ atoms = 48.176 × 10²³ atoms.
Question 12
1 / -0

What is the mass in grams of 2.5 moles of slaked lime [Ca(OH)₂]?
(Atomic masses: Ca = 40 g, O = 16 g and H = 1 g)

A
185 g

B
74 g

C
29.6 g

D
76.5 g

Solution

Mass = Molar mass × Number of moles
Molar mass of Ca(OH)₂ = 40 + 2(16 + 1)
= 40 + 34 = 74 g
Therefore, mass of Ca(OH)₂ = 74 × 2.5 = 185 g
Question 13
1 / -0

Which of the following statements is incorrect?

A
KCl is soluble in water.

B
HCl conducts electricity in its aqueous solution.

C
Acetic acid is soluble in water.

D
The bond formed between aluminium and fluorine is covalent.

Solution

The bond formed between aluminium and fluorine is ionic because metals form ionic bonds with non-metals.
Question 14
1 / -0

Which of the following statements about a compound are correct?

A. It is a homogeneous mixture of two or more elements.
B. It is a new substance, different from the combining elements.
C. The combining elements in a compound are always in a fixed ratio by mass.
D. The formula of a compound is fixed.

A
A and B

B
A, B and C

C
C and D

D
B, C and D

Solution

Only statement A is incorrect, as the compound is not a mixture of its elements but a pure substance having new properties.
Question 15
1 / -0

Atoms of an element differ from atoms of all the other elements in

A
atomic number and electronic configuration

B
atomic number and number of valence electrons

C
number of neutrons and electronic configuration

D
number of neutrons and number of valence electrons

Solution

Atoms of an element differ from atoms of all the other elements in atomic number and electronic configuration only. The number of neutrons and valence electrons can be the same for two or more elements.