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BITSAT Physics Test - 9 - JEE MCQ


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30 Questions MCQ Test - BITSAT Physics Test - 9

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BITSAT Physics Test - 9 - Question 1

A thermally insulated aluminium wire is used as a resistance in a circuit. The cross-sectional area of the wire is 0.8 mm2 and the length of the wire is 2 m. If a current of 2 A is set through the resistance and the wire is at 25oC initially, for how much time does the resistance sustain this current before melting?
(Melting point of Aluminium = 660oC, Specific resistance of Al = 2.6 x 10-8 Ωm, density of Al = 2.70 g/cm3 and specific heat of Al = 9 x 102 J /kg-K)

Detailed Solution for BITSAT Physics Test - 9 - Question 1

Heat generated in the resistance:
H = I2RT = mSΔT
If d = density of the wire and
ρ = specific resistance of wire
Thus,

This is our required solution.

BITSAT Physics Test - 9 - Question 2

Four conducting wires of length l, bend into rectangle, a square and a circle, are labelled as I, II and III and IV (as shown in the figure). These loops are carrying equal amount of current and placed into a magnetic field B. If the torque acting on them are τI, τII and τIII, τIV, respectively, which among the followingis highest?

Detailed Solution for BITSAT Physics Test - 9 - Question 2

The torque on the loop carrying current , placed into a magnetic field B is given by:

where  is area and  is magnetic field
Therefore,
τ ∝ A
For the same perimeter, the area of the circle is greater.
Therefore, the torque acting on the circle will be highest.
Therefore, it is the correct option.

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BITSAT Physics Test - 9 - Question 3

A direct current source of 2.4 V is connected across the primary turns of a step-up transformer. If ratio of the primary to that of the secondary turns in the transformer is given to be 1 : 50, the induced emf in the secondary winding of the transformer will be

Detailed Solution for BITSAT Physics Test - 9 - Question 3

Since the transformer is an AC device, it will not work with the DC circuit.
Therefore, the induced EMF will be zero.
Therefore, it is the correct option.

BITSAT Physics Test - 9 - Question 4

When a biconvex lens of glass having refractive index 1.47 is dipped in a liquid, it acts as a plane sheet of glass. This implies that the liquid must have refractive index

Detailed Solution for BITSAT Physics Test - 9 - Question 4


BITSAT Physics Test - 9 - Question 5

When a photon of energy hv falls on a photosensitive material, it emits an electron with a maximum velocity of 4 x 105 m/s. For the same surface, if the energy of the photon is doubled, what will be the speed of the emitting electron?
(Provided that the work function of the surface is hv/2.)

Detailed Solution for BITSAT Physics Test - 9 - Question 5

Kinetic energy of emitted electron is given as:

When the energy of the photon is doubled, then

This is our required solution.

BITSAT Physics Test - 9 - Question 6

If the value of V = 5 V, then what will be the value of current drawn by the circuit?

Detailed Solution for BITSAT Physics Test - 9 - Question 6

Reduce the network in its equivalent form as follows:

 as wheat stone  is balance here as 4/12 =8/24 = 1/3

Therefore, the equivalent resistance of the circuit will be = 9 + 6 = 15 Ω
V = 5 V
Therefore,

i = 0.33 A
This is our required solution.

BITSAT Physics Test - 9 - Question 7

An emf source of alternating current of frequency 1500 Hz is connected across an inductor of 150 mF. If the effective flow of alternating current in the inductor is 10 mA, the rms value of the voltage across the capacitor will be

Detailed Solution for BITSAT Physics Test - 9 - Question 7

We know that:

The voltage across inductor is given by

This is our required solution.

BITSAT Physics Test - 9 - Question 8

A car is travelling with a speed of 15 m/s. A man is watching the car in a convex mirror. If the focal length of the mirror is 20 cm and the position of the car is 6 m away from the mirror, the apparent speed of the car in the mirror will be

Detailed Solution for BITSAT Physics Test - 9 - Question 8

Mirror formula is given by:

Differentiating w.r.t. time we get:

Therefore,

This is our required solution.

BITSAT Physics Test - 9 - Question 9

Two lenses, with focal length f1 and f2, when combined produces no diffraction of light. If the ratio of the focal length f1 : f2 is 3 : 5. What will be the ratio of the dispersive power of the materials of the two lenses?

Detailed Solution for BITSAT Physics Test - 9 - Question 9

For no dispersion:

The negative shows that the nature of the dispersive power should be opposite in nature.
Therefore, the ratio of the dispersive powers of the material of the lenses will be 3 : 5.
Therefore, it is the correct option.

BITSAT Physics Test - 9 - Question 10

What will be the momentum of an electron of a hydrogen like atom which is jumping from an excited state of n = 4 to n = 1?

Detailed Solution for BITSAT Physics Test - 9 - Question 10

The jumping of an electron from a higher state to a lower state is incorporated by the emission of photons.
By the conservation of momentum,
Momentum of electron = Momentum of the photon emitted

Therefore,

This is our required solution.

BITSAT Physics Test - 9 - Question 11

Given: A and B are input terminals.
Logic 1
Logic 0 ≤ 1 V
Which logic gate operation, the following circuit does?

Detailed Solution for BITSAT Physics Test - 9 - Question 11

Since, when A and B both are logic 1 then no current will flow through the both 50 Ω.
resistors, because both the diodes will not conduct, therefore, whole current will flow through R = 10 K
and output is potential difference across the R = 10 K which will be 6 V in this case means high
Now, When either of the input is low current through terminal which is low will flow through it and most of the current will flow through the 50 Ω resistance since it is very very less than
R = 10 K therefore, Potential across R = 10 K will be less than 1 V. So, when either of input is low output is also low.
When both the inputs are low same case as when either of input is low will be there hence output will also be low.
Therefore, above circuit acts as a AND Logic gate.

BITSAT Physics Test - 9 - Question 12

Light of wavelength 5000 Å falls on a sensitive plate with the photoelectric work function of 1.9eV. The maximum kinetic energy of the photoelectron emitted will be:

Detailed Solution for BITSAT Physics Test - 9 - Question 12

As we know, energy of photo electrons,

BITSAT Physics Test - 9 - Question 13

A spherical capacitor consists of an inner sphere of diameter 6 cm and an outer sphere of diameter 10 cm. The space between the two concentric spheres is filled with a medium of dielectric constant 80. What is the capacitance of the capacitor?

Detailed Solution for BITSAT Physics Test - 9 - Question 13

Capacity of the spherical capacitor having inner radius 'a' and outer radius 'b'.

BITSAT Physics Test - 9 - Question 14

If speed(V), acceleration (A) and force (B) are considered as fundamental units, the dimension of Young's modulus will be?

Detailed Solution for BITSAT Physics Test - 9 - Question 14


Now from dimension

BITSAT Physics Test - 9 - Question 15

Which of the following parameters does not characterize a thermodynamic state of matter?

Detailed Solution for BITSAT Physics Test - 9 - Question 15

The work done does not characterize a thermodynamic state of matter.
Work done is elaborated in such a way that it includes both force exerted on the body and the total displacement of the body. The purpose of this force is to move the body a certain distance in a straight path in the direction of the force.

BITSAT Physics Test - 9 - Question 16

A road is 8 m wide. Its radius of curvature is 40 m. The outer edge is above the lower edge by a distance of 1.2 m. This road is most suited for a velocity of?

Detailed Solution for BITSAT Physics Test - 9 - Question 16

If w is the width of the road and r is the radius of curvature of the road, maximum velocity of the vehicle on the curved road is:

Here h is the elevation of the outer edge of the road with respect to the inner edge.

BITSAT Physics Test - 9 - Question 17

The number of magnetic lines of force passing through a given area is known as:

Detailed Solution for BITSAT Physics Test - 9 - Question 17

The number of magnetic lines of force passing through a given area is known as magnetic flux.
It provides the measurement of the total magnetic field that passes through a given surface area. Here, the area under consideration can be of any size and under any orientation with respect to the direction of the magnetic field.

Magnetic flux symbol: ϕ or ϕB  
Magnetic flux formula is given by:
ϕV = B.A = B A cos θ
Where,

  • ϕB is the magnetic flux 
  • B is the magnetic field
  • A is the area
  • θ the angle at which the field lines pass through the given surface area
BITSAT Physics Test - 9 - Question 18

Two thin lenses, when in contact, produce a combination of power + 10 diopters. When they are 0.25 m apart, the power is reduced to + 6 diopters. The powers of the lenses in diopters are:

Detailed Solution for BITSAT Physics Test - 9 - Question 18

Let the two lenses have focal lengths f1 and f2, in meters.

For a separation of  d = 0.25 m

The powers of the lenses in diopters are 2 and 8.

BITSAT Physics Test - 9 - Question 19

A step up transformer operates on a 200 volt line and supplies to a load of 2 amp. The ratio of primary to secondary windings is 1 : 25. Determine the primary current?

Detailed Solution for BITSAT Physics Test - 9 - Question 19

Given:

Input Power = Output Power

BITSAT Physics Test - 9 - Question 20

The stopping potential for the photo electrons emitted from a metal surface of work function 1.7eV is 10.4 V. Identify the energy levels corresponding to the transitions in hydrogen atom which will result in emission of wavelength equal to that of incident radiation for the above photoelectric effect.

Detailed Solution for BITSAT Physics Test - 9 - Question 20

As we know that the stopping potential of the photoelectron is equal to the maximum kinetic energy of the photoelectron,
KEmax = 10.4V
Now, in photoelectric effect,
Energy of incident radiation (Ein) = work function + K.Emax 


Now, for o hydrogen atom,
Energy of first energy level, E1 = -13.6eV
Energy of second energy level , E2 = -3.6eV
Energy of third energy level, E3 = -1.5eV
So, a transition from third to first energy level will result in emission of radiation of energy = E3 - E1 = 12.1eV which is same as the energy of incident radiation of above photoelectric effect. 
Thus, correct answer is n = 3 to 1.

BITSAT Physics Test - 9 - Question 21

A ball is dropped vertically from a height d above the ground. It hits the ground and bounces up vertically to a height d/2. Neglecting subsequent motion and air resistance, its velocity v varies with the height h above the ground as-

Detailed Solution for BITSAT Physics Test - 9 - Question 21

Before hitting the ground, the velocity v is given by v2 − 2gd (quadratic equation and hence parabolic path)
Downwards direction means negative velocity. After collision, the direction become positive and velocity decreases.

As the direction is reversed and speed is decreased, graph (a) represents these conditions correctly.

BITSAT Physics Test - 9 - Question 22

A particle is moving such that s = t3 - 6t2 + 18t + 9 where  is in metres and t is in second. The minimum velocity attained by the particle is:

Detailed Solution for BITSAT Physics Test - 9 - Question 22

Given:

For v to be minimum or maximum:

 

BITSAT Physics Test - 9 - Question 23

Two different coils have self inductance 8 mH and 2 mH. The current in both coils are increased at same constant rate. The ratio of the induced emf's in the coil is-

Detailed Solution for BITSAT Physics Test - 9 - Question 23


(Since, current is increased at same rate)

 

BITSAT Physics Test - 9 - Question 24

A physical quantity Q is found to depend on observables x, y and z, obeying relation . The percentage error in the measurements of x , y and z are 1 % , 2 % and 4 % respectively. What is percentage error is the quantity Q ?

Detailed Solution for BITSAT Physics Test - 9 - Question 24

Given:

now we have to find the error in

BITSAT Physics Test - 9 - Question 25

A particle of mass m is projected with velocity v moving at an angle of 45 with horizontal. The magnitude of angular momentum of projectile about point of projection when particle is at maximum height, is-

Detailed Solution for BITSAT Physics Test - 9 - Question 25


The angular momentum is

BITSAT Physics Test - 9 - Question 26

The temperature at which the speed of sound in the air becomes double of its value at 27°C, is-

Detailed Solution for BITSAT Physics Test - 9 - Question 26

From the formula for the speed of sound in air

Squaring both sides:

BITSAT Physics Test - 9 - Question 27

Identify the correct order of frequencies.

Detailed Solution for BITSAT Physics Test - 9 - Question 27

As the frequency of the incident radiation increases, the potential required to stop the ejected electron (Stopping Potential) increases. 
So, v3 > v2 > v1.
The stopping potential varies linearly with the frequency of the incident radiation.

BITSAT Physics Test - 9 - Question 28

A block is submerged in vessel filled with water by a spring attached to the bottom of the vessel. In equilibrium, the spring is compressed. The vessel now moves downwards with acceleration a(<g). The spring length-

Detailed Solution for BITSAT Physics Test - 9 - Question 28

Let  be the spring constant of spring and it gets compressed by length x in equilibrium position. Let m be the mass of the block and F be the upward thrust of water on block. When the block is at rest,

When the vessel moves downwards with acceleration a(<g) the effective downward acceleration = g - a. Now upthrust is reduced say it becomes F"

In figure, then

So, the spring length will increase.

BITSAT Physics Test - 9 - Question 29

If AB is an isothermal, BC is an isochoric and AC is an adiabatic, which of the graphs correctly represents given in figure?

Detailed Solution for BITSAT Physics Test - 9 - Question 29

Given:
AB is an isothermal
BC is an isochoric 
AC is an adiabatic
Therefore the P-V diagram will be 
for A to B- PV = constant
for B to C- V = constant
for A to C- PV= constant
As slope of adiabatic AC is more than the slope of isothermal AB, and BC is isochoric (i.e., at constant volume)

BITSAT Physics Test - 9 - Question 30

In a spherical distribution, the charge density varies as ρ (r) = A/r for a < r < b (as shown) where A is a constant. A point charge Q lies at the centre of the sphere at r = 0 . The electric field in the region a < r < b has a constant magnitude for-

Detailed Solution for BITSAT Physics Test - 9 - Question 30


For E = constant,

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