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An electric motor operates at 20 r.p.s. What will be the approximate power delivered by the motor, if it supplies a torque of 75 Nm?
Which of th following transitions in a hydrogen atom emits the photon of highest frequency?
The ratio of the longest to shortest wavelengths in Brackett series of hydrogen spectra is
Potential difference across the terminals of a battery is 50 V, when 11 A current is drawn. And it is 60 V, when 1 A current is drawn. The e.m.f. and internal resistance of battery is
e = v + Ir
e = emf
V = potential difference
r = internal resistance
Here e = 50 + 11r .....(1)
and e = 60 + 1r .....(2)
Solving these equations (1) and (2) for e and r we get
e = 61V and r = 1 Ω
When an inert gas is filled in the place vacuum in a photo cell, then
Light of frequency 4v₀ is incident on the metal of the threshold frequency v₀. The maximum kinetic energy of the emitted photoelectrons is
An L.C. circuit contains 10 mH inductor and a 25 μ F capacitor. The resistance of the circuit is negligible. The energy stored in the circuit is completely magnetic at time (in milli seconds) being measured from the instant when the circuit is closed
Minimum no. of 8 μF and 250 V capacitors, used to make a combination of 16 μF and 1000 V, is
To get 1000 volts from 250 volts, we have to connect Four capacitors in series.
For such a series connection, effective capacitance is 2 micro farad, because 1/Ceffective = 1/C1 + 1/C2 +1/C3 +1/C4 = 1/8 + 1/8 + 1/8 + 1/8 = 1/2.
Therefore Ceffective = 2 microfarad. Hence the series combination is equivalent of 2 microfarads, 1000 Volts.
Now we have to connect 8 of these four capacitor units in parallel to get 16 micro farads capacitor because in parallel combination, effective capacitance is equal to summation of each capacitor. Hence capacitors required will be:
4 numbers for each series combinations * 8 such combinations = 32 capacitors.
The ratio of charge to potential of a capacitor is known as its
To aviod slipping while walking on ice, one should take smaller steps because of the
The acceleration due to gravity on the planet A is 9 times the acceleration due to gravity on planet B. A man jumps to a height of 2 m on the surface of A. What will be the height of jump by the same person on the planet B?
When a body is heated, which colour corresponds to highest temperature
A vessel contains a mixture of one mole of oxygen and two moles of nitrogen at 300 K. The ratio of the average rotational kinetic energy per O₂ molecule to that per N₂ molecule is
When a charged particle moves perpendicular to a magnetic field, then
The force between two short bar magnets with magnetic moments M₁ and M₂ whose centres are r meter apart is 8 N, when their axes are in same line. If the separation is increased to 2 r, the force between them is reduced to
Correct Answer : d
Explanation : In magnetic dipole, force ∝ 1/r4
Hence, new force = 8/24
= 8/16
= 0.5N
Oil spreads over the surface of water, whereas water does not spread over the surface of oil, because
A 20 cm long capillary tube is dipped in water. The water rises up to 8 cm. If entire arrangement is put in a freely elevator, the length of water column in the capillary tube will be
A particle covers 150 m in 8th second when starts from rest, its acceleration is
The resultant of two forces, one double the other in magnitude, is perpendicular to the smaller of the two forces. The angle between the two forces is
Two vectors A̅ and B̅ are such that A̅ + B̅ = A̅  B̅. Then
Correct Answer : d
Explanation : A + B = A  B
cancelling A both sides, we get
B =  B
Taking B to other side, we get
2B = 0
B = 0
A car of mass 12kg at rest explodes into two pieces of masses 4kg and 8kg which move in opposite direction. If the velocity of 8kg piece is 6 m/s, the kinetic energy of other piece is
The image formed by an objective lens of a compound microscope is
A chimpanzee, swinging on a swing in a sitting position, stands up suddenly. The time period will
An instantaneous displacement of a simple harmonic oscillator is x = A cos (ωt + π/4 ). Its speed will be maximum at time
The velocity is the time derivative of displacement: v = dy/dt = Aω (sinωt + π/4 ).
Its maximum magnitude equal to Aω is obtained when ωt = π/4 , from which t = π/4ω
A ray of light is incident on a plane mirror at an angle of 60^{o} . The angle of deviation produced by the mirror is
Two spheres of masses 2M and M are initially at rest at a distance R apart. Due to mutual force of attraction, they approach each other. When they are at separation R/2, the acceleration of the centre of mass of spheres would be
A soild sphere, disc and solid cylinder all of the same mass and made of the same material are allowed to roll down (from rest) on an inclined plane, then
A small steel sphere is tied to a string and is whirled in a horizontal circle with a uniform angular velocity ω₁. The string is suddenly pulled so that radius of the circle is halved. If ω₂ is new angular velocity. then
If three bulbs 60W, 100W and 200W are connected in parallel, then
Bulb of higher voltage will glow more
A Carnot's engine has an efficiency of 50% at sink temperature 50^{o} C . Calculate the temperature of source.
Wave optics is based on wave theory of light put forward by Huygen and modified later by
When two coherent monochromatic light beams of intensities I and 4I are superimposed, the ratio between maximum and minimum intensities in the resultant beam is
In the stationary waves the phase difference between two particles of the medium situated on the opposite sides of a node is
The equation of progressive wave is y = a sin(200t  x). whre x is in meter and t is in second. The velcoity of wave is
Comparing the given equation with y = a sin (wt  kx) (w = 200, k = 1)
So, v = w/k = 200 m/s
A force of 170 N is applied to a body of mass 5 kg which raised it vertically to a height of 10 m. The velocity of the body at this height will be
Two equal masses are attached to the ends of a spring of spring constant k. The two masses are pulled out equally to stretch the spring by 'x'. The work done by the spring on each mass is
Reaction of phenol with chloroform and sodium hydroxide to give ohydroxybenzaldehyde involves the formation of
Which of the following reagent react differently with HCHO and CH₃CHO and CH₃COCH₃
For principle quantum number n = 4, the total number of orbitals having l = 3 is
1.5 mol of O₂ combine with Mg to form oxide MgO. The mass of Mg (at. mass 24) that has combined is
A negatively charged nucleophile is always stronger than a neutral one
Which of the following does not show electromeric effect?
Which carbohydrate is an essential constituent of plant cells?
The maximum number of hydrogen bonds formed by a water molecule in ice, is
A well stoppered thermos flask contains some ice cubes . This is an example of
Just before attaining equilibrium by a reversible reaction, it is found that
The rate constant is given by the equation K = P Ze^{(E/RT)}. Which factor should register a decrease for the reaction to proceed more rapidly?
Which one of the following relations is correct with respect to first (I) and second (II) ionization potential of Sodium and Magnesium ?
As we move across a period from left to right, the ionisation potential increases with increase in atomic number. Thus, the first ionisation energy of Mg is higher than Mg, i.e.
I_{Na} < I_{Mg}.
But after removing one electron Na gets inert gas electronic configuration (1s^{2} 2s^{2} 2p^{6}) , which is more stable. Hence, the second ionization potential of Na is higher than Mg, i.e.
II_{Na} > II_{Mg} .
What is the amount of heat liberated (in k.cal) when one mole of aquesous NaOH reacted with one mole of aqueous HCl solution?
Correct Option is D
The no. of unpaired electrons in the complex ion [CoF₆]^{3}⁻ is (Atomic no. Co = 27)
Which of the following is formed when K₂Cr₂O₇ reacts with concentrated H₂SO₄ in cold?
Among the following compounds (IIII), the correct order in reaction with electrophile is
Increasing order of stability among the three main conformations (i.e.,Eclipse ,Anti,Gauche) of 2fluoroethanol is
The number of moles of acid or base required by 1 litre of buffer to alter its pH by one unit is called
The isomer which bears objectimage relationship but do not superimpose on each other is called
How many monochlorobutanes will be possible on chlorination of nbutane?
Oxalic acid reacts with concentrated H₂SO₄ to give a mixture of two gases. When this mixture is passed through caustic potash, one of the gases is absorbed. What is the product formed by the absorbed gas with caustic potash?
Which of the following does not give a borax bead test?
Which of the following element is prepared by electrolysis
Which of the following compounds is used in gun powder?
Which of the following set of variables give a straight line with a negative slope when plotted? (P = Vapour pressure; T = Temperature in K)
A bottle of cold drink has 200 ml liquid in which CO₂ is 0.1 molar. If CO₂ behaves as ideal gas the volume of CO₂ at S.T.P. solution of cold drink is
The formula of metal chloride is MCl_{3}. It contains 20% of metal. The atomic weight of metal is approximately
The area bounded by the curve y = sec x, the xaxis and the lines x = 0 and x = π/4 is
In the expansion of ((x^{4})  (1/x^{3}))^{15}, the coefficient of x^{39} is
If the line ax + by + c =  touches the circle x^{2} + y^{2}  2x = 3 and is normal to the circle x^{2} + y^{2} + 2x  4y + 1 = 0, then (a,b) are respectively
The differential equation  d y d x  +  y  + 3 = 0 admits
Differential equation, for y = A cosαx + B sinαx where A and B are arbitrary constants is
y = A Cosαx + B Sinαx
dy dx = α A Sinαx + αB Cosαx
d 2 y dx 2 =  α^{2}A Cosαx  α^{2}B Sinαx
d 2 y dx 2 =  α^{2} (A Cosαx + B Sinαx)
d 2 y dx 2 =  α^{2}y
d 2 y dx 2 + α^{2}y = 0
The sum of the series 2/1! + 4/3! + 6/5! + .....∞ equals
Correct Answer : a
Explanation : e = ∑(j = 0 to ∞) 1/j!
and group every even term with the next one :
e = ∑(j = 0 to ∞) 1/j! = ∑(k = 0 to ∞) 1/(2k)! + 1/(2k+1)!
= ∑(k = 0 to ∞) [2k+1/(2k+1)! + 1/(2k+1)!]
= ∑(k = 0 to ∞) 2k+2/(2k+1)!.
2n+2/(2n+1)!
= 2n+1/(2n+1)! + 1/(2n+1)! = 1/(2n)! + 1/(2n+1)!
so
∑(n = 0 to ∞) 2n+2/(2n+1)!
= ∑(n = 0 to ∞) 1/(2n)! + 1/(2n+1)!
= cosh1 + sinh1
= e
In wind storm a tree has broken and upper portion touches the ground at a distance 10m from the foot of the tree and makes an angle 45^{o}with the ground. Then the total height of the tree is
The st. line lx + my + n = 0 touches the hyperbola x^{2}/a^{2}  y^{2}/b^{2} = 1 if
The parabolas y^{2}= 4x and x^{2} = 4y divide the square region bounded by the lines x = 4, y = 4 and the coordinate axes. If S₁, S₂, S₃ are respectively the areas of these parts numbered from top to bottom; then S₁ : S₂ : S₃ is
The area of the region bounded by the parabola y = x^{2} + 1 and the straight line x + y = 3 is given by
the value of f(0) so that the function f(x) = (2x  sin⁻^{1} x)/(2x + tan⁻^{1}x) is continuous at each point on its domain is
The number of solutions of 2x + y = 4, x  2 y = 2, 3x + 5y = 6 is
The minimum distance from the point (4, 2) to the parabola y^{2} = 8x is
If x=a+b,y=aω+b ω^{2}, z=a ω^{2} + bω, then xyz equals
The angle between lines represented by 4x^{2}24xy+11y^{2}=0 is
If 2 y = 5 x + k is a tangent to the parabola y^{2} = 6 x then k =
All letters of the word EAMCET can be written in all possible ways. In how many ways can the letters of the word EAMCET be arranged so that two vowels are never together.
How many words can be formed from the letters of the word MATHEMATICS?
A problem in Statistics is given to three students whose chances of solving it one 1/2, 1/3 and 1/4. The probability that the problem is solved is
If A and B are two mutually exclusive events such that P(B) = 2P(A) and A ∪ B = S. Then P(A) is equal to
If in a Δ A B C , 3 a = b + c then tan B/2 • tan C/2 is equal to
If both the roots of the quadratic eqution x^{2}  2kx + k^{2} + k  5 = 0 are less than 5, then k lies in the interval
A student read common difference of an A.P. as 2 instead of 2 and got the sum of first 5 terms as 5 Actual sum of first five terms is
7th term of an A.P. is 40.Then the sum of first 13 terms is
Which of the functions:
f(x) = x^{2} for all x, g (x) = x^{2}, x ≥ 0 and h (x) = x^{2}, x ≤ 0 have inverse functions :
The equation of a line passing through (3,4) and perpendicular to line 3x+4y=5 is
If at each point of the curve y = x^{3}  ax^{2} + x+ 1 the tangent is inclined at an acute angle with the positive direction of the xaxis then
The centre of the sphere which passes thro' four points (0,0,0),(0,2,0),(1,0,0) and (0,0,4) is
The shortest distance between the lines (x  3)/3 = (y  8)/1 = (z  3)/1 and (x + 3)/3 = (y + 7)/2 = (z 6)/4 is
The set of values of x for which [(tan3xtan2x)/(1+tan3xtan2x)]=1, is
If 0≤x≤π and 81^{sin2x} + 81 ^{cos2x} = 30, then x is equal to
Vector 2i+aj+k is perpendicular to vector 2ijk if a=
Find the Antonym of the word occurring in the sentence in capital letter as per the context.
Because of the failure of the monsoon, there was PAUCITY of foodgrains.
Meaning of Paucity
Smallness of number; fewness
Scarcity; dearth
Synonyms : Scarcity, lack, shortage, rarity, insufficiency
Antonyms : abundance, affluence, plenty
Find the Antonym of the word occurring in the sentence in capital letter as per the context.
After swallowing the frog, the snake had become LETHARGIC.
'Lethargic' means not having any energy.
So its antonym will be Active
Fill in the blank with appropriate word.
He finds it difficult to......between blue and green as he is colour blind.
Fill in the blank with appropriate word.
Hardly had he arrived .......... it started raining.
Choose the one which can be substituted for the given words/sentences
A place where bees are kept is called
Choose the one which can be substituted for the given words/sentences :
Code of dipomatic etiquette and precedence
Find the Synonym of the word occurring in the sentence in capital letter as per the context.
A person who EQUIVOCATES should not be relied upon.
'Equivocate' means to talk about in a way that is not clear
The correct statement is 'their leaders seems to be in their elements'
Choose the numeral pair which is different from others .
Complete the analogous pair.
Fog : Visibility : : AIDS : ?
Group the following figures into three classes on the basis of identical properties.
1,4,7 are all (twodimensional) quadrilaterals.
2,5,8 are all threedimensional figures.
3,6,9 are all (twodimensional) triangles.
In the first column, 29 − 8 = 7 * 3 = 21.
In the second column, 19 − 7 = 4 * 3 = 12.
Let the missing number in the third column be x.
Then, 31 − 6 = 5 * x o r 5 x = 25 o r x = 5.
In this letter series, some of the letters are missing. Choose the correct letter given below 
gfe _ ig _ eii _ fei _ gf _ ii
In each question, three sequences of letters/numerals are given which correspond to each other. Find out the letters/numerals that come in vacant places.
C _ B _ D _ A _ B B D D
2 _ _ 4 _ 3 4 _ ? ? ? ?
_ a _ c b a _ d _ _ _ _
Please go through following and answer question no.128 to no.131
Imagine your Information Technology business in a resortlike ambience. Your employees could have a holiday on every working day! Yes, God's own country is fast emerging as India's most happening Information Technology/Information Technology Enabled Services destination. The enviable tranquility, cleanliness, greenery and physical quality of life add to the aura. Consistently ranked as the No. 1 State in social achievements, Kerala is a dream destination for even the most discerning tourist. National Geographic Traveller has dubbed the State as "one of the ten paradises of the world". Not for nothing. Its natural beauty, picturesque backwaters, enchanting beaches, authentic ayurvedic rejuvenation centres and rich cultural heritage continue to hold people from all over the world, spellbound. But of late, the State is turning out to be a onestop address for every Information Technology need as well.
Q. Which one of the following statements is correct?
Please go through following and answer question no.128 to no.131
Imagine your Information Technology business in a resortlike ambience. Your employees could have a holiday on every working day! Yes, God's own country is fast emerging as India's most happening Information Technology/Information Technology Enabled Services destination. The enviable tranquility, cleanliness, greenery and physical quality of life add to the aura. Consistently ranked as the No. 1 State in social achievements, Kerala is a dream destination for even the most discerning tourist. National Geographic Traveller has dubbed the State as "one of the ten paradises of the world". Not for nothing. Its natural beauty, picturesque backwaters, enchanting beaches, authentic ayurvedic rejuvenation centres and rich cultural heritage continue to hold people from all over the world, spellbound. But of late, the State is turning out to be a onestop address for every Information Technology need as well.
Q. Which one of the following statements is correct?
Please go through following and answer question no.128 to no.131
Imagine your Information Technology business in a resortlike ambience. Your employees could have a holiday on every working day! Yes, God's own country is fast emerging as India's most happening Information Technology/Information Technology Enabled Services destination. The enviable tranquility, cleanliness, greenery and physical quality of life add to the aura. Consistently ranked as the No. 1 State in social achievements, Kerala is a dream destination for even the most discerning tourist. National Geographic Traveller has dubbed the State as "one of the ten paradises of the world". Not for nothing. Its natural beauty, picturesque backwaters, enchanting beaches, authentic ayurvedic rejuvenation centres and rich cultural heritage continue to hold people from all over the world, spellbound. But of late, the State is turning out to be a onestop address for every Information Technology need as well.
Q. Which one of the following statements is correct?
Please go through following and answer question no.128 to no.131
Imagine your Information Technology business in a resortlike ambience. Your employees could have a holiday on every working day! Yes, God's own country is fast emerging as India's most happening Information Technology/Information Technology Enabled Services destination. The enviable tranquility, cleanliness, greenery and physical quality of life add to the aura. Consistently ranked as the No. 1 State in social achievements, Kerala is a dream destination for even the most discerning tourist. National Geographic Traveller has dubbed the State as "one of the ten paradises of the world". Not for nothing. Its natural beauty, picturesque backwaters, enchanting beaches, authentic ayurvedic rejuvenation centres and rich cultural heritage continue to hold people from all over the world, spellbound. But of late, the State is turning out to be a onestop address for every Information Technology need as well.
Q. Which one of the following statements is correct?
Please go through following and answer question no.145 to no.146
Select the correct mirror image of the figure (X) from amongst the given alternatives.
Q.
Please go through following and answer question no.145 to no.146
Select the correct mirror image of the figure (X) from amongst the given alternatives.
Q.
Please go through following and answer question no.147 to no.148
Each of the following questions consists of five Problem figures marked 1,2,3,4 and 5 followed by five Answer figures marked A,B,C,D and E . Select a figure from the Answer figures which will continue the same series as given in the Problem figures.
Q.
The symbol gets vertically inverted and laterally inverted alternately. It also moves in ACW direction through distances equal to two halfsides (of square boundary) and three halfsides alternately.
Please go through following and answer question no.147 to no.148
Each of the following questions consists of five Problem figures marked 1,2,3,4 and 5 followed by five Answer figures marked A,B,C,D and E . Select a figure from the Answer figures which will continue the same series as given in the Problem figures.
Q.
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