Math Chapter Wise

EnglishPGT 2002

Q201.A force 5 units act along the line (x–3)/2=(y– 4)/(–1), the moment of the force about the point (4,1) along z-axis is:

A0 B5 5 C5 D5

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EnglishPGT 2002

Q202.A uniform rod of weight W and length 2l is resting in a smooth spherical bowl of radius r. The rod is inclined to the horizontal at an angle of:

A0 B4/π C1 tan r − ℓ D() 2 2 r − ℓ

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EnglishPGT 2002

Q203.A body consists of a solid cylinder with radius 'a' and height 'a' together with a solid hemisphere of radius 'a' placed on the base of the cylinder. The centre of gravity of the complete body is:

Ainside the cylinder Binside the hemisphere Con the interface between the two Doutside both

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EnglishPGT 2002

Q204.A body is thrown vertically upward with a velocity of V metres/minute. The greatest height attained by the body will be:

Av metres g Bv 2 metres g C2 v metres g D2 v metres 2g

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EnglishPGT 2002

Q205.AB is a vertical diameter of a circle and PQ is a diameter inclined at an angle θ to AB. The value of θ, so that the time of sliding down PQ may be 2 times that of sliding down AB is:

A6/π B4/π C3/π DNone of these

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EnglishPGT 2002

Q206.Two balls are projected respectively from the same point in directions inclined at 600 and 300 to the horizontal. If they attain the same height, the ratio of their velocities of projection is:

A3:1 B1: 3 C1:1 D1:2

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EnglishPGT 2002

Q207.A ball is dropped from a height h on a horizontal plane and the coefficient of restitution for the impact is e, the velocity with which the ball rebounds from the floor is:

Aeh Begh C( )/e gh D( )/e 2gh

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EnglishPGT 2002

Q208.An elastic ball with coefficient of elasticity 1 2 is dropped from rest at a height h on a smooth floor. The total distance covered by the ball is:

Amore than 2h Bless than 2h but more than 3 h 2 Cless than 3 h 2 but more than 4 h 3 Dless than 4 h 3

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EnglishPGT 2002

Q209.Two bodies of masses m and 4m are moving with equal momentum. The ratio of their kinetic energy is:

A1:4 B4:1 C1:1 D1:2

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EnglishPGT 2002

Q210.A bullet of mass 'm' penetrates a thickness 'a' of a plate of mass 'M' at rest. If this plate is free to move, then the thickness to which the bullet will penetrate is:

A() Ma m M + B() ma m M + C() M m a m M − + DNone of these

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EnglishPGT 2002

Q211.The directions of three forces 1N, 2N and 3N acting at a point are parallel to the sides of equilateral triangle, taken in order. The magnitude of their resultant is:

AZero B3 N 2 C3 N 2 D3N

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EnglishPGT 2002

Q212.P and Q (P>Q) are like parallel forces. If P is moved parallel to itself through a distance x, then the resultant of P and Q moves through a distance:

A() P x P Q × + B() P x P Q × − C() P x P 2Q × + DNone of these

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EnglishPGT 2000

Q213.A particle is projected vertically upward with velocity u is observed to be at a height h after times t1 and t2 seconds. Then h is:

A1 2 1 gt t 2 B() 1 2 1 g t t 2 + C() 1 2 1 g t t 2 − DNone of these

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EnglishPGT 2000

Q214.ABC is a uniform triangular lamina with centre of gravity G. If the portion GBC is removed, the centre of gravity of the remaining portion is G' then GG' is equal to:

A1 AG 6 B1 AG 5 C1 AG 4 D1 AG 3

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EnglishPGT 2000

Q215.A particle is moving in a straight line with uniform acceleration f and initial velocity u. The distance described by particle in the 2nd second is:

Au+f B3 u f 2 + C1 u f 2 + Du+3f

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EnglishPGT 2000

Q216.The value in horizontal and vertical direction the resolved part of a force of 16kg-wt acting in a direction making an angle of 600 with the horizontal is:

A+8kg.wt, 10 kg. wt. B10kg. wt, 8 kg. wt. C8kg. wt, 8 3 kg.wt. DNone of these

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EnglishPGT 2000

Q217.A constant force acting on a body of mass 20g, produce in it a velocity of 27 cm/sec in 6 sec. If the body starts from rest, then the magnitude of force is:

A90 dynes B20 dynes C2dynes D50 dynes

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EnglishPGT 2000

Q218.A force which when acting on a mass 54 kg will move it 8 km in one minute, the value of force is:

A432N B40N C300N D240N

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EnglishPGT 2000

Q219.The eqn of the curve for which the polar sub tangent is constant is:

Ar(a+θ)= 0 Brθ+c = 0 Cr2 +aθ=0 Dr(θ+c) +a = 0

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EnglishRajasthan TGT 2016

Q220.The radius of a wire is decreased to its one- third. If its volume remains the same, then its length will increase

A3 times B6 times C9 times D27 times

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