Math Chapter Wise

EnglishUPPSC GIC 2021

Q101.If T be the tension at any point P of a common catenary, T0 tension at the lowest point A and W be the weight of the arc AP of the catenary, then-

A2 2 2 0 T T W − = B2 2 2 0 T T W + = C2 2 2 0 T T W = + D0 T T W = +

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EnglishUPPSC GIC 2021

Q102.The centre of gravity of a rod of length l, whose linear mass density varies as the cube of the distance from its one end, is at what distance from that end?

A4/1 B4 5 l C3 5 l D3 4 l

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EnglishUPPSC GIC 2021 UKSSSC LT 2020

Q103.The radial component of acceleration of particle moving in a plane curve is-

A../s B2r r θ + θ ɺ ɺɺ ɺ C2 s p ɺ D2 r r − θ ɺ ɺɺ

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EnglishUPPSC GIC 2021 UPPSC Ashram Paddhati 2021

Q104.Which relation is not true for a common catenary?

Ay = c cos h x c Bx = c log (sec Ψ + tan Ψ) Cy = c sec Ψ Ds = c sin Ψ

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EnglishUP TGT 2021

Q105.Ram can throw a ball vertically to a maximum height of 40 metres, then he can throw the ball in horizontal direction to which maximum distance?

A40 2 metre B20 2 metre C20 metre D80 metre

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EnglishUP TGT 2021

Q106.If three forces acting in one plane upon a rigid body, keep the body in equilibrium, then

AThey must meet in a point BThe must be parallel CThey must either meet in a point or be parallel DThey must be perpendicular

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EnglishUP TGT 2021

Q107.A stone thrown up is caught by the thrower after 6 sec. What will be the velocity of stone after 2 sec of its throwing? (g = 9.8 m/s2

A9.8 m/s/9.8 B10.2 m/s/10.2 C19.6 m/s/19.6 D20.0 m/s/20.0

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EnglishUP TGT 2021

Q108.The distance of centre of gravity of uniform semicircular lamina of radius a, from the centre is

Aa/2 B2a/3π Ca/3 D4a/3π

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EnglishUP TGT 2021

Q109.A body is projected with velocity 40 metre per second inclined at an angle 60º with horizontal. The velocity of the body when it is at maximum height is

A10 m/s B20 m/s C15 m/s D5 m/s

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EnglishUP TGT 2021

Q110.A force represented by ˆ ˆ ˆ i + 2j+ k passes through a point (2, 3, 1). The moment of the force about point (1, 2, –1) is

Aˆ ˆ ˆ/i – 2j+ k Bˆ ˆ ˆ/3i – j – k Cˆ ˆ ˆ/–3i + j+ k Dˆ ˆ ˆ/3i + j – k

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EnglishUP TGT 2021

Q111.The greatest resultant which two forces can have is P and the least is Q. If they act at an angle α, then the resultant is of magnitude

A2 2 P Q + B2 2/P – Q C2 2 2 2 P cos Q sin 2 2 α + D2 2 2 2 P cos Q sin α + α

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EnglishUP TGT 2021

Q112.A particle is projected in vertically upward direction. If after t1 and t2 seconds, its height is h, then h is equal to

A1 2 1 gt t 2 B1 2/g t t C2g (t1 + t2) DNone of the above

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EnglishUP TGT 2021

Q113.The work done in moving an object along a straight line from (3, 2, –1) to (2, –1, 4) in a force field given by ˆ ˆ ˆ F = 4i – 3j+ 2k, is

A15 units B18 units C20 units D24 units

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EnglishUP TGT 2021

Q114.Three forces P, 2P and 3P are acting along sides AB, BC and CA of equilateral ∆ ∆ ∆ ABC. Magnitude of resultant force is.

AP 3 BP 2 CZero D2P/3

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EnglishUP TGT 2021

Q115.If the radius of a hemisphere is a, then its centre of gravity from its centre is at a distance-

A3a/8 B5a/8 Ca/2 D2a/5

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EnglishUP TGT 2021

Q116.An aeroplane is flying at height h with horizontal velocity u. The velocity of a dropped packet on reaching the ground will be

A2 u 2gh + B2gh C2gh D2/u – 2gh

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EnglishUP TGT 2021

Q117.A particle is projected with a velocity u so that its range on a horizontal plane is twice the greatest height attained the range is

A2 2u 3g B2 u 2g C2 3u 2g D2 4u 5g

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EnglishUP TGT 2021

Q118.A balloon is moving upward with uniform acceleration 2 g cm/sec. 8 After half minute a body is dropped from the balloon. The time taken by the body to reach on the ground is

A10 seconds B15 seconds C20 seconds D24 seconds

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EnglishUPPSC Ashram Paddhati 2021

Q119.A bullet of mass m moving with velocity v strikes a block of mass M which is free to move in the direction of motion of the bullet and is embedded in it. What portion of the initial kinetic energy is lost?

AM/M + m Bm/M + m Cm/M DNone of the above

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EnglishUPPSC Ashram Paddhati 2021

Q120.If at any instant, the velocity of projectile be u and its direction of motion make an angle α to the horizon, then after what time will it be moving at right angles to this direction?

Au/g sin α Bu/g cos α Cg/u sin α Dg/u cos α

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