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Objective Questions

Latest HP SET Physical Sciences Exam Question (Objective Questions), MCQ in English

Subjects : Physical Sciences

Question Bank HP SET Physical Sciences Exam Paper 2 - English

Physical Sciences

Question 1Single Answer

"My friend Raju has more than 1000 books". said Ram. "Oh no, he has less than 1000 book said Shyam. "Well. Raju certainly has at least one book", said Geeta. If only one of these statements is true. how many books does Raju have ?

A1
B999
C1000
D1001

Question 2Single Answer

Of the following, which is the odd one out ?

ACone
BTorus
CSphere
DEllipsoid

Question 3Single Answer

An infinite number of identical circular discs each of radius

are tightly packed such that the centres of the discs are at integer values of coordinates x and y. The ratio of the area of the uncovered patches to the total area is —

C1 -

Question 4Single Answer

It takes 5 days for a steamboat to travel from A to B along a river. It takes 7 days to return from B to A, How many days will it take for a raft to drift from A to B (all speeds stay constant) ?

Question 5Single Answer

N is a four digit number. If the leftmost digit is removed, the resulting three digit number is 1/9th Of N. How many such N are possible ?

Question 6Single Answer

A granite block of 2m × 5m × 3m size is cut into
5 cm thick slabs of 2 m × 5 m size. These slabs are laid over a 2 m wide pavement. What is the length of the pavement that can be covered with these slabs?

A100 m
B200 m
C300 m
D500 m

Question 7Single Answer

Which is the least among the following?
0.33^0.33 , 0.44^0.44, 0.55^–1/p , e^–1/e

A0.33^0.33
B0.44^0.44
C^0.1–1/p
De^–1/e

Question 8Single Answer

What is the next number in this “see and tell” sequence?
1 11 21 1211 111221 .........

A312211
B1112221
C1112222
D1112131

Question 9Single Answer

The frequency range of Ultra High Frequency (UHF) is __ ?

A3 to 10 Megahertz
B3 to 30 Megahertz
C300 to 3000 Megahertz
D300 to 30000 Megahertz

Question 10Single Answer

A peacock perched on the top of a 12 m high tree, spots a snake moving towards its hole at the base of the tree from a distance equal to thrice the height of the tree. The peacock flies towards the snake in a straight line and they both move at the same speed. At what distance from the base of the tree will the peacock catch the snake?

A16 m
B18 m
C14 m
D12 m

Question 11Single Answer

One of the four –A, B, C and D – committed a crime. A said, “I did it.” B said, “I didn’t.” C said. “B did it.” D said, “A did it.” Who is lying?

Question 12Single Answer

A farmer gives 7 full, 7 half-full and 7 empty bottles of honey to his three sons and asks them to share these among themselves such that each of them gets the same amount of hooey and the same number of bottles. In how many ways can this be done? (bottles cannot be distinguished otherwise, they are sealed and cannot be broken)

Question 13Single Answer

If the roots of the equation a(b – c) x² + b(c – a) x + c(a – b) = 0 are equal, then a, b, c are in

AAP
BGP
CHP
DNone of these

Question 14Single Answer

What is the next number in the following sequence?
39, 42, 46, 50, ......

Question 15Single Answer

A student buys a book from an online shop at 20% discount. His friend buys another copy of the same book in a book fair for Re. 192 paying 20% less than his friend. What is the full price of the book?

ARe. 275
BRe. 300
CRe. 320
DRe. 392

Question 16Single Answer

Consider the set of numbers {171, 172, ..., 17300}. How many of these numbers end with the digit 3 ?

A60
B75
C100
D150

Question 17Single Answer

Average yield of a product in different years is shown in the histogram. If the vertical bars indicates variability during the year, then during which year was the per cent variability over the average of that year the least?

A2000
B2001
C2002
D2003

Question 18Single Answer

A rectangle of length d and breadth d/2 is revolved once completely around its length and once around its breadth. The ratio of volumes swept in the two cases is

A1 : 1
B1 : 2
C1 : 3
D1 : 4

Question 19Single Answer

A long ribbon is wound around a spool up to a radius R. Holding the tip of the ribbon, a boy runs away from the spool with a constant speed maintaining the unwound portion of the ribbon horizontal. In 4 minutes, the radius of the wound portion becomes

In what further time, it will become R/2?

B2 min
D4 min

Question 20Single Answer

If n is a positive integer, then n(n + 1) (n + 2) (n + 3) (n + 4) (n + 5) (n + 6) is divisible by

A3 but not 7
B3 and 7
C7 but not 3
Dneither 3 nor 7

Question 21Single Answer

Five congruent rectangles are drawn inside a big rectangle of perimeter 165 as shown. What is the perimeter of one of the five rectangles?

A37
B75
C15
D165

Question 22Single Answer

At one instant, the hour hand and the minute hand of a clock are one over the other in between the markings for 5 and 6 on the dial. At this instant, the tip of the minute hand

Ais closer to the marking for 6
Bis equidistant from the markings for 5 and 6
Cis closer to marking for 5
Dis equidistant from the markings for 11 and 12

Question 23Single Answer

There are two buckets A and B. Initially A has 2 litres of water and B is empty. At every hour 1 litre of water is transferred from A to B followed by returning 1/2 litre back to A from B half an hour later. The earliest A will get empty is in

A5 hours
B4 hours
C3 hourd
D2 hours

Question 24Single Answer

A car is moving at 60 km/h. The instantaneous velocity of the upper most points of its wheels is

A60 km/h forward
B120 km/h forward
C60 km/h backward
D120 km/h backward

Question 25Single Answer

Density of a rice grain is 1.5 g/cc and bulk density of rice heap is 0.80 g/cc. If a 1 litre container is completely filled with rice. What will be the approximate volume of pore space in the container?

A350 cc
B465 cc
C550 cc
D665 cc

Question 26Single Answer

There is an equilateral triangle in the XY plane with its centre at the origin. The distance of its sides from the origin is 3.5 cm. The area of its circumcircle in cm² is

A38.5
B49
C63.65
D154

Question 27Single Answer

A sphere of iron of radius R/2 fixed to one end of a string was lowered into water in a cylindrical container of base radius R to keep exactly half the sphere dipped. The rise in the level of water in the container will be

AR/3
BR/4
CR/8
DR/12

Question 28Single Answer

A crystal grows by stacking of unit cells of 10 × 20 × 5 nm size as shown in the diagram given below. How many unit cells will make a crystal of 1 cm³ volume?

A10⁶
B10⁹
C10¹²
D10¹⁸

Question 29Single Answer

What is the value of

Question 30Single Answer

A solid cylinder of basal area A was held dipped in water in a cylindrical vessel of basal area 2A vertically such that a length h of the cylinder is immersed. The lower tip of the cylinder is at a height h from the base of the vessel. What will be the height of water in the vessel when the cylinder is taken out ?

Question 31Single Answer

Find the missing letter
A   B   C   D
F I L   O
K   P   U   Z
P W   D   ?

Question 32Single Answer

Consider a right-angled triangle ABC where AB = AC = 3. A rectangle APOQ is drawn inside it, as shown, such that the height of the rectangle is twice its width. The rec tangle is moved horizontally by a distance 0.2 as shown schematically in the diagram (not to scale).

What is the value of the ratio

A625
B400
C225
D125

Question 33Single Answer

80 gsm paper is cut into sheets of 200 mm × 300 mm size and assembled in packets of 500 sheets. What will be the weight of a packet? (gsm = g/m²)

A1.2 kg
B2.4 kg
C3.6 kg
D4.8 kg

Question 34Single Answer

Three indentical flat equilateral-triangular plates of side 5 cm each are placed together such that they form a trapezium. The length of the longer of the two parallel sides of this trapezium is

C10 CM

Question 35Single Answer

An archer climbs to the top of a 10 m high building and aims at a bird atop a tree 17 m away. The line of sight from the archer to the bird makes an angle of 45° to the horizontal. What is the height of the tree?

A17 m
B27 m
C37 m
D47 m

Question 36Single Answer

Each of the following pairs of words hides a number, based on which you can arrange them in ascending order. Pick the correct answer :

I. Cloth reel J. Silent wonder

K. Good tone L. Bronze rod

A
L, K, J, I
B
I, J, K,L
C
K, L, J, I
D
K, J, I, L

Question 37Single Answer

Which one of the following has the highest value of specific heat ?

AAlcohol
BMethane
CKerosene
DWater

Question 38Single Answer

A 12 m × 4 m rectangular roof is resting on four 4 m tall thin poles. Sunlight falls on the roof at an angle of 45° from the east, creating a shadow on the ground. What will be the area of the shadow?

A
24 m²
B
36 m²
C
48 m²
D
60 m²

Question 39Single Answer

If Here a, b, c and d are digits. Then a + b =

A
4
B
9
C
11
D
16

Question 40Single Answer

The maximum number of points formed by intersection of all pairs of diagonals of convex octagon is

A
70
B
400
C
120
D
190

Question 41Single Answer

An infinite number of identical circular discs each of radius

are tightly packed such that the centers of the discs are at integer values of coordinates x and y . The ratio of the area of the uncovered patches to the total area is .

Question 42Single Answer

It takes 5 days for a steamboat to travel from A to B along a river. It takes 7 days to return from B to A. How many days will it take for a raft to drift from A to B (all speeds stay constant ) ?

Question 43Single Answer

“ My friend Raju has more than 1000 books “, said Ram . “ Oh no , he has less than 1000 books”, said Shyam .’’ Well , Raju certainly has at least one books “, said Geeta . If only one of these statements is true , how many books does Raju have ?

A1
B1000
C999
D1001

Question 44Single Answer

Of the following , Which is the odd one out ?

ACone
BTours
CSphere
Dboth 1&2

Question 45Single Answer

A student appearing for an exam is declared 1oto have failed the exam if his /her score.This implies

A ¼ of the students appearing for the exam always fail
Bif a student scores less than ¼ of the maximum score, he/ she always fails
Cif a students scores more than ½ of the maximum score, he/she always Passes
DIt is possible that no one fails

Question 46Single Answer

Find the next figure ‘D'

Question 47Single Answer

N is a four digit number . If the leftmost digit is removed , the resulting three digit number is 1/9 ^th of N. How many such N are possible ?

Question 48Single Answer

AB and CD are two chords of a circle subtending 60^o and 120^o respectively at the same point on the circumference of the circle . Then AB:CD

C1:1

Question 49Single Answer

Which of the following inferences can be drawn from the above graph?

AThe total number of students qualifying in physics in 2015 and 2014 is the same
BThe number of students qualifying in Biology in 2015 is less than that in 2013
C The number of Chemistry students qualifying in 2015 must be more than the number of students who qualified in Biology in 2014
DThe number of students qualifying in physics in 2015 is equal to the number of students in Biology that qualified in 2014

Question 50Single Answer

What is the minimum number of moves required to transform figure 1 to figure 2 ? A move is defiend as removing a coin and placing it such that it touches two other coins in its new position

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Physical Sciences

Question 51Single Answer

The relatiopnship among the numbers in each corner squre is the same as that in the other corner squres . Find the missing

Question 52Single Answer

Which of the following best approximates sin (0.5^o )?

A0.5

Question 53Single Answer

What comes next in the sequence ?

Question 54Single Answer

Which of the following statements is logically incorrect

AI always speak the truth
BI occasionally lie
CI occasionally speak the truth
DI always lie

Question 55Single Answer

How many times strating at 1:00 pm would the minute and hour hands of clock make an angle of 40^o with each other in the next 6 hour ?

Question 56Single Answer

Brothers Santa and Chris walk to school from their house .The former takes 40 minutes While the latter , 30 minutes. One day Santa Started 5 minutes earlier than Chris. In how many minutes would Chirs overtake Santa ?

Question 57Single Answer

The set of numbers (5,6,7,m,6,7,8,n) has an arthimetic mean of 6 and mode (most frequency occuring number ) of 7. Then = mX n =

Question 58Single Answer

The diagram shows a block of marble having the shape of a triangular prism. What is the maximum number slabs of 10X10X5 cm³ Size that can be cut parallel to the face on which the block is resting ?

A50
B100
C125
D250

Question 59Single Answer

A soild contains a spherical cavity is filled with a liqued and includes a spherical bubble of gas . The radii of cavity and gas bubble are 2 mm and 1 mm , respetively . What proportion of the cavity is filled with liquid ?

Question 60Single Answer

Fill in the blank : F2 , _______, D8, C16, B32 , A64.

AC4
BE4
CC2
DG16

Question 61Single Answer

The radaius of convergence of the Taylor series expansion of the function

around x=0, is

Question 62Single Answer

The Value of the contour integral

around the unit circle traversed in the anti-clockwise direction , is

Question 63Single Answer

The Gauss hypergeometric function F(a,b,c ;z) , defined by the Taylor series expension around z = 0 as F(a,b,c ;z=

satisfies the recusion relation

Question 64Single Answer

Let X and Y be two independent random variables, each of Which follow a normal distribution with the same standard deviation σ , but with means +μ and –μ , respectively Then the sum X + Y follows a

Adistribution with two peaks at and mean 0 and standard deciation
Bnormal distribution with mean 0 and standard 2σ
Cdistribution with two peaks at and mean 0 and standard deviation 2 σ
Dnormal distribution with mean 0 and standard deviation

Question 65Single Answer

Using dimensional analysis , planks defined a characteristic temperature T_p from powers of the gravitational constant G, Planck’s constant h, Boltzmann constant K_B and the speed of light c in vacuum.The expression for T_P is proportional to

Question 66Single Answer

Let (x,t) and (x’,t’) be the coordinate systems used by the observers O and O’ , respectively . Observer O’ moves with a celocity v = βc along their common positive x-axis. If x₊ = x+ct and x_-=x-ct are the linear combinations of the coordinates , the Lorentz transformation relating O and O’ taks the form

Question 67Single Answer

A ball of mass m, initially at rest , is dropped from a height of 5 meters . if the coefficient of restitution is 0.9 , the speed of the ball just before it hits the floor the second time is approximately (take g = 9.8 m/s²)

A9.80 m/s
B9.10 m/s
C8.91 m/s
D7.02 m/s

Question 68Single Answer

Four equal charges of +Q each are kept at the vertices of a square of side R. A particle of mass m and charge +Q is placed in the plane of the square. at a short distance a(<

Question 69Single Answer

Hemilationian of a system with generalized coordinate and momenutum (q,p) is H=p²q² A solution of the Hamiltonian equation of motion is (in the following A and B are constants

Question 70Single Answer

Two Parallel plate capacitors ,seprated by distance x and 1.1x respectively , have a diectric material of dielectric constant 3.0 inserted between the plates , and are connected to a baterry of voltage V .The difference in charge on the second capacitor compared to the first is

A+66%
B+20%
C-3.3%
D-10%

Question 71Single Answer

The half space regions x>0 and x<0 are filled with dielectric media of dielectric constants

and

respectively . There is a uniform electric field in each part .In the right half , the electric field makes an angle

to the interface . The corresponding angle

in the left half satisfies

Question 72Single Answer

The x- and Z- components of a static magnetic field in a region are B_x=B₀(x²-y²) and B_z=0, respectively .Which of the following solutions for its y-component is consistent with the Maxwell equations ?

AB_y=B₀xy
BB_y= -2B₀xy
CB_y=B₀(x²-y²)

Question 73Single Answer

A Magnetic field B is B

in the region x>0 and Zero elsewhere . A Where . A rectangular loop , in the xy-Plane , of sides L(along the x- directions ) and h (along the y- direction ) is inserted into the x>0 region from the rigion x<0 at a constant velocity v=v

. Which of the following values of l and h will generate the largest EMF?

Al=8, h=3
Bl=4, h=6
Cl=6, h=4
Dl=12, h=2

Question 74Single Answer

The state of a particle of mass m in a one – dimensional rigid box in the interval 0 to L is given by the normalized wavefunction

If its energy is mesured the posible outcomes and the average vlaue of energy are respectively.

Question 75Single Answer

and

are the components of the angular momentum operator in three dimensions , the commutor [

] may be simplified to

Question 76Single Answer

Suppose that the coulomb potential of the hydrogen atom is changed by adding an inverse-square term such that the total potential is

, Where g is a constant . The energy eigenvalues E_nlm in the modified Potential

Adepend on n and l , but not on m
Bdepend on n but not on l and m
Cdepend on n and m , but not on l
Ddepend explicitly on all three quantum numbers n,l and m

Question 77Single Answer

Question 78Single Answer

The specific heat per molecule of gas of diatomic molecules at high temperatures is

A8 k_B
B3.5 k_B
C4.5 k_B
D3 k_B

Question 79Single Answer

When an ideal monatomic gas is expended adiabatically from an initial volume V₀ to 3 V_o its temperature changes from T₀ to T. Then the ratio T/T₀ is

Question 80Single Answer

A box of Volume V containing N molecules of an ideal gas , is divided by a wall with a hole into two compartments . If the volume of the smaller compartment is V/3 , the varience of the number of particles in it , is

AN/3
B2N/9

Question 81Single Answer

A gas of non-relativistic classical particles in one dimension is subjected to a potential V(x) = a|x| (Where α is a constant ). The partition function is

Question 82Single Answer

The dependence of current 1 on the Voltage V of a certain device is given by I=I₀(Where I₀ and V₀ are constants. In an experiment the current I is measured as the voltage V applied across the device is increased .The parameters V₀ and

can be graphically determined as

Athe slope and the y- intercept of the I-V² graph
Bthe negative of the ratio of the y-intercept and the slope , and the y-intercept of I-V² graph
Cthe slpoe and the y-intercept of the graph
Dthe negative of the ratio of the y-intercept and the slope , and the y-intercept of the graph

Question 83Single Answer

In the schematic figure given below , assume that the propagation delay of each logic gate is t _gate The propagation delay of the circuit will be maximum when the logic inputs A and B make the transition

A(0,1)->(1,1)
B(1,1)->(0,1)
C(0,0)->(1,1)
D(0,0)->(0,1)

Question 84Single Answer

Given the input voltage V_i , Which of the following waveforms correctly represents the output voltage V₀ in the circuit shown below?

Question 85Single Answer

The intensity distribution of a red LED on an absorbing layer of material is a Gaussian centred at the wavelength λ₀ = 660 nm and width 20 nm. if the absorption coefficient varies with wavelength as α₀-K(λ-λ₀), Where α₀ and K are positive constants, the light emerging from the absorber will be

ABlue shifted retaining the Gaussian intensity distribution
BBlue shifted with an asymmetric intensity distribution
CRed shifted retaining the Gaussian intensity distribution
DRed shifted with an asymmetric intensity distribution

Question 86Single Answer

What is the Fourier transform

Where is the Dirac delta-function?

Question 87Single Answer

The Integral equation

is equivalent to the differential equation

Question 88Single Answer

A part of the group multiplication table for a six element group G= {e,a,b,c,d,f} is shown below (In the following e is the identity element of G )The entries x, y and z should be

Ax=a,y=d and z=c
Bx=c, y=a and z=d
Cx=c, y=a and z=a
Dx=a,y=c and z=d

Question 89Single Answer

In finding the roots of the polynomial f (x) = 3x³ - 4 x - 5 using the iterative Newton-Raphson method , the initial guess is taken to be x=2 In the next iteration its value is nearest to

A1.671
B1.656
C1.559
D1.551

Question 90Single Answer

For a particle of energy and momentum P (in a frame F) , the rapidity y is defined as y=

In (

) . In a Frame F’ moving with velocity v= (0,0,βc) with respect to F, the rapidity y’ will be

Question 91Single Answer

A canonical transformation (q,p) -> (Q,P) is made through the generating function F(q,p)=q²p on the Hamiltonian

Where α and β are constants . The equations of motion for (Q,P) are

Question 92Single Answer

The Lagrangian of a system moving in three dimensions is

The independent constant(s) of motion is/are

Aenergy alone
Bonly energy , one component of the linear momentum and one component of the angular momentum
COnly energy and one component of the linear momentum
Donly energy and one component of the angular momentum

Question 93Single Answer

Consider a sphere S1 of radius R Which carries a uniform charge of density p. A smaller sphere S₂ of radius a as shown in the figure .The electric field at a point P inside S₂ is

Question 94Single Answer

The Values of the electric and magnetic fields in a particular reference frame (in Gaussian units ) are

and

, respectively . An inertial observer moving with respect to this frame measures the magnitude of the magnetic field to be |E’| . The magnitude of the magnetic field |B’| measured by him is

A5
B9
CZero
D1

Question 95Single Answer

A loop of radius a, carrying a current I, is placed in uniform magnetic field B. If the normal to the loop is denoted by

,the force F and the torque T on the loop are

Question 96Single Answer

An inverted cone is filled with water at a constant rate. The volume of water inside the cone as a function of time is represented by the curve :

â€‹

Question 97Single Answer

A spacecraft flies at a constant height R above a planet of radius R. At the instant the spacecraft is over the north pole, the lowest latitude visible from the spacecraft is :

A0° (equator)
B30° N
C45° N
D45° N
E60° N

Question 98Single Answer

An experiment consists of tossing a coin 20 times. Such an experiment is performed 50 times. The number of heads and the number of tails in each experiment are noted. What is the correlation coefficient between the two ?

A–1
B–20 / 50
C20 / 50
D1

Question 99Single Answer

Which of these groups of numbers has the smallest mean ?
Group A : 1, 2, 3, 4, 5, 6, 7, 8, 9
Group B : 1, 2, 3, 4, 6, 6, 7, 8, 9
Group C : 1, 2, 2, 4, 5, 6, 7, 8, 9
â€‹Group D : 1, 3, 3, 4, 5, 6, 7, 9, 9

Question 100Single Answer

Identical balls are tightly arranged in the shape of an equilateral triangle with each side containing n balls. How many balls are there in the arrangement ?

An² / 2
Bn (n + 1) / 2
Cn (n – 1) / 2
D(n + 1)² / 2

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Latest HP SET Physical Sciences Exam Question (Objective Questions), MCQ in English

Physical Sciences

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