Math Chapter Wise

English(GIC) Lecturer Exam,2015

Q361.A bar AB of weight w rests like a ladder, with upper end A against a smooth vertical wall and lower end B on a rough horizontal plane. If the bar is just on the point of sliding, then the reaction at A is equal to (µ is coefficient of friction):

Aµw Bw Cw D2 w 1

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English(GIC) Lecturer Exam, 2015

Q362.Two particles A and B are projected vertically upward with velocity v1 and v2 respectively. If v1: v2 = 2: 5, then the ratio of the greatest heights attained by the particles is–

A25: 4 B3: 4 C4: 3 D4: 25

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English(GIC) Lecturer Exam, 2015

Q363.The distance of the centre of gravity of a solid hemisphere of radius r from its centre is equal to–

A4r/3 Br/2 C3r/2 D5r/3

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English(GIC) Lecturer Exam, 2015

Q364.A ball is dropped from a height of 81 ft. and after striking the floor rebounce. It strikes the floor second time and then rebounce to a height of 16ft. The coefficient of restitution is (g = 32ft/sec2)–

A1/3 B2/3 C3/2 D2/3

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English(GIC) Lecturer Exam, 2015

Q365.If a man can throw a stone upto the 196 metre, what will be time of flight and maximum height of the stone? (g = 9.8 metre/sec2) (g = 9.8 metre/sec2)

A2 11sec,48metre B2 10 sec,49metre C2 7 sec,50metre D2 11sec,50metre

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English(GIC) Lecturer Exam, 2015

Q366.A particle is moving with constant angular velocity ω along a path given by r = aebθ, where a and b are constants. The radial acceleration of the particle is–

A2 2 2/b r r B2 2/r b r C2 2 2/b r r D2/r

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EnglishTGT 2013

Q367.A ball is projected with a velocity 49 m/s from the horizontal with at an angle 30o. His range obtained by him will be–

A490 3 m B245 3 m C245 3 2 m D245 3 7 m

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EnglishTGT 2013

Q368.A bullet of mass 'm' is loaded in a gun of moss 'M'. the velocity of the bullet relative to the gun is 'u', then what is the actual velocity of the bullet and the gun?

AMu mu, M m M m + + B(M m)u (M m)u, M m M m + − − + CMu Mu, M m M u + + D(M m)u (M m)u, M m M m + + − +

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EnglishTGT 2013

Q369.If two force P and Q are acting on a particle. And the angle between the two forces is 'θ' and the resultant force is R. If the resolution of the resultant force 'R' in the direction of force P is 2P, then.

AP Qsec = θ BP Qsin = θ CP Qtan = θ DP Qcos = θ

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EnglishTGT 2013

Q370.Force P and Q are horizontal and vertical separation of force on a particle then their resultant force will be–

AP+Q B2 2 P Q + CP–Q D−2 2/P Q

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EnglishTGT 2013

Q371.Unit of Power is–

AJoule BOhm CWatt DVolt

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EnglishTGT 2013

Q372.A stone of mass 2 kg is below rest, drops down. the work done by force of gravity in the 5th second of fall will be–

A864 Joules B864.36 Joules C648.36 Joules D486.36 Joules

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EnglishTGT 2013

Q373.The horizontal range of a projectile is thrice the maximum height attained by it. If the projectiles is launched with a velocity u then what will be its flight time?

A8u/5g B4u/5g C2u/g Du/g

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EnglishUP PCS (Pre) 1997

Q374.The square of the periodic time of a planet is proportional to:

AThe major axis of its orbit BThe square root of the major axis of its orbit CThe cubic of the major axis of its, orbit DThe cube root of the major axis of its orbit

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EnglishUP PCS (Pre) 1997

Q375.If three forces, acting in one plane upon a rigid body, keep it in equilibrium, then they must:

Ameet in a point Bbe parallel Cbe non- parallel Deither meet in a point or be parallel

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EnglishUP PCS (Pre) 1997

Q376.A particle is moving in a circle of radius r with uniform speed v. The angular velocity of the particle at any point P of its path, about the centre of the circle, is:

A2 v r Bv/r C0 Dvr

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EnglishUP PCS (Pre) 1997

Q377.A planet moves in an orbit of eccentricity 1 74 round the sum with greatest velocity 30 km/sec. It's least velocity is:

A29.2km/sec. B28.2 km/sec. C30.2km/sec. D39.2 km/sec.

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EnglishUP PCS (Pre) 1997

Q378.The intrinsic equation of the semi-cubical parabola 3ay2 = 2x3 is

A() 2 9s 4a sec 1 = ψ − B() 3 9s 4a sec 1 = ψ − C() 4 9s 4a sec 1 = ψ − DNone of these

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EnglishUP PCS (Pre) 1997

Q379.A heavy elastic string, whose natural length is 2πa, is placed round a smooth cone, whose axis is vertical and whose semi- vertical angle is α. If w be the weight and λ the modulus of elasticity of the string, then it will lie in equilibrium in the form of a circle of radius:

Awa cot 2 α λπ Bw a 1 cot + α πλ Cw a 1 cot 2 + α πλ DNone of these

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EnglishUP PCS (Pre) 1997

Q380.The force towards the pole, under which a particle is describing the curve rn cos n θ=an is proportional to:

Ar2n Br2n–1 Cr2n–2 Dr2n–3

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