Mix Test

Result

Mix Test - 5

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Weekly Quiz Competition

Question 1
1 / -0

A 100 W bulb B₁ and two 60 W bulbs B₂ and B₃ are connected to a 250 V source as shown in the figure. W₁, W₂ and W₃ are the output powers of the bulbs B₁, B₂ and B₃, respectively. Which of the following options is correct?

A
W₁ > W₂ = W₃

B
W₁ > W₂> W₃

C
W₁ < W₂ = W₃

D
W₁ < W₂ < W₃

Solution
Question 2
1 / -0

An ice cart of mass 60 kg rests on a horizontal snow patch with coefficient of static friction 1/3. Assuming that there is no vertical acceleration, find the magnitude of the minimum horizontal force required to move the ice cart. (g = 9.8ms^-2)

A
100 N

B
110 N

C
209 N

D
196 N

Solution

The frictional force acting is given by F.
Question 3
1 / -0

A small planet is revolving around a massive star in a circular orbit of radius R with a period of revolution T. If the gravitational force between the planet and the star is proportional to R^-5/2, then T will be proportional to

A
R^3/2

B
R^3/5

C
R^7/2

D
R^7/4

Solution
Question 4
1 / -0

^{_{A conductor of resistance 3}_{is stretched uniformly till its length is doubled. The wire is now bent in the form of an equilateral triangle. The effective resistance between the ends of any side of the triangle (in ohms) is}}

A

B

C
2

D
1

Solution
Question 5
1 / -0

In a transistor amplifier, the two AC current gains and ,are defined as = and = The relation between and is

A

B

C

D

Solution

We know that I_E = I_C + I_B
Or = Dividing both sides by we get

Or
Or
Question 6
1 / -0

A stone projected with a velocity u, at an angle with the horizontal, reaches a maximum height H₁. When it is projected with velocity u at an angle with the horizontal, it reaches a maximum height H₂. The relation between the horizontal ranges R of the projectile H₁ and H₂ is

A
R = 4

B
R = 4(H₁ – H₂)

C
R = 4(H₁ + H₂)

D
R =

Solution

H₁=
But,
Multiplying H₁ and H₂,

R =
Question 7
1 / -0

The dimensions of the coefficient of thermal conductivity are

A
MLT^–3K^–1

B
MLT^–2 K^–1

C
MLT^–1 K^–1

D
MLT^–2 K^–2

Solution

The coefficient of thermal conductivity is defined as the rate of flow of heat energy per unit area of cross-section per unit temperature gradient.
The dimensions of rate of flow of heat are ML² T^-2/T = ML²T^-3.
The dimensions of area are L² and the dimensions of temperature gradient are = dimensions of temperature/dimension of length = KL^-1.
Hence the dimensions of the coefficient of thermal conductivity are = MLT^-3 K^-1Thus the correct choice is (1).
Question 8
1 / -0

A lens forms a sharp image on a screen. On inserting a parallel-sided glass slab between the lens and the screen, it is found necessary to move the screen to a distance d away from the lens in order to focus the image sharply. If the refractive index of glass relative to air is , then the thickness of the glass slab is given by

A

B

C

D

Solution
Question 9
1 / -0

An AC series circuit contains a 4 resistance and a 3 inductive reactance. What is the impedance of the circuit?

A
1

B
5

C
7

D

Solution
Question 10
1 / -0

The separation between slits is halved and between screen and slits is doubled. Find the new fringe width, if the original fringe width is W.

A
W

B
9 W

C
4 W

D
2 W

Solution
Question 11
1 / -0

A particle starts SHM from a mean position. Its amplitude is 'a' and total energy is E. At one instant, its kinetic energy is 3E/4. Its displacement at that instant is

A

B

C

D

Solution
Question 12
1 / -0

The specific heat of helium at a constant volume is 12.6 J mol^–1K^–1. What will be the specific heat of hydrogen at a constant volume (in J mol^–1K^–1)? Assume that the temperature of the gas is moderate.

A
12.6

B
16.8

C
18.9

D
21

Solution
Question 13
1 / -0

An ultraviolet light of wavelength 2000 irradiates a photocell made of molybdenum metal. If the stopping potential is – 1.5 V, then what is the work function of the metal? (Planck's constant = 6.6 × 10^–34 Js)

A
2.5 10^–19 J

B
5.0 10^–19 J

C
7.5 10^–19 J

D
1 10^–18 J

Solution
Question 14
1 / -0

A thin uniform rod AB of mass M and length L is hinged at one end A to the horizontal floor. Initially, it stands vertically. It is allowed to fall freely on the floor in the vertical plane. The angular velocity of the rod when its end B strikes the floor is

A

B

C

D

Solution
Question 15
1 / -0

What is the equivalent capacitance between A and D in the figure given below?

A
200 pF

B
100 pF

C

D
50 pF

Solution

The series combination of C₂ and C₃ is equivalent to a capacitance C'.

or

C'' = 100 pF + 100 pF = 200 pF

The equivalent capacitance between A and D,

pF