Math Chapter Wise

EnglishUPPSC Ashram Paddhati 2021

Q121.The transverse component of acceleration of a particle moving in a plane is

As/i i B2r r θ+ θ i i i i C2 s ρ i D2 r – r θ i i i

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EnglishUPPSC Ashram Paddhati 2021

Q122.The centre of gravity of a uniform circular wire of radius a subtending an angle 2α at its centre O lies at a point on the symmetrical radius, Whose distance from O is

Aa sin α/α Ba sin α Ca cos α D2a/πα

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EnglishUK SSSC LT 2020

Q123.A particle is projected at an angle 60º from the horizontal with kinetic energy K. The kinetic energy at the highest point would be:

AK BZero CK/4 DK/2

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EnglishUK SSSC LT 2020

Q124.The radius of curvature at any point of a common catenary is given by:

Ay c ρ = B2 c y ρ = C2 csec ρ = Ψ D2 2 c sec ρ = Ψ

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EnglishUK SSSC LT 2020

Q125.A satellite of earth is revolving in a circular orbit with a uniform speed v. If gravitational pull suddenly disappears, the satellite will:

AContinue to move with speed v along the original orbit BMove with speed v tangentially to the original orbit CFall downward with increasing speed DUltimately come to rest somewhere on original orbit

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EnglishUK SSSC LT 2020

Q126.In virtual work equation, the virtual work done by an inextensible string is:

A0 BTδI C–TδI DNone of the above

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EnglishHaryana PGT 2020

Q127.The work done by the force 3i + 2j- 2k to displace a particle from point A () − 2i + 5j+ 7k to point B () 3i + 7j+ 2k is:

A31 Units B29 Units C9 Units D30 Units

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EnglishHaryana PGT 2020

Q128.The radius of curvature of the curve p = b sin ψ ψ cos ψ ψ ψ is:

Ap B2p C–3p D3 p 2

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EnglishHaryana PGT 2018

Q129.The pedal equation of the curve n n r = a sinnθ is:

A2 r ap = Br ap = Cn 1 n r pa + = Dn n r pa =

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EnglishUP TGT-2016 (08-03-2019)

Q130.If three forces, acting at a point, be in equilibrium, then each force is proportional to the sine of the angle between the other two. This theorem is called

ALaw of triangle of forces BLaw of parallelogram of forces CLami's theorem DTrigonometrical theorem

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EnglishUP TGT-2016 (08-03-2019)

Q131.The resultant force of two forces P and Q is R. If Q is doubled, R is doubled and if Q is Reversed, R is again doubled. Then which one is the true relation?

AP Q R 2 3 2 = BP Q R 1 2 1 = CP Q R 3 2 2 = DP Q R 1 1 2 =

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EnglishUP TGT-2016 (08-03-2019)

Q132.A particle is projected in vertically upward direction. If after t1 and t2 time, its height is h, then h is equal to

A1 2 gt t 2 1 B1 2/g t t C() 1 2 2g t t + Dnone of these

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EnglishUP TGT-2016 (08-03-2019)

Q133.If in any projectile maximum height is equal to horizontal range, then the angle of projection is

A1 1 tan 4 − B1 1 tan 2 − Ctan–1/2 Dtan–1/4

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English

Q134.A particle is projected with velocity u at an inclination α with the horizontal. Then Maximum height (H) attained is

A2 2 u sin g α B2 2 2u sin g α C2 2 u sin 2g α D2 u sin2 g α

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EnglishUP PGT-2016 (02-02-2019)

Q135.A ball is thrown vertically upward with a given velocity. It reaches a maximum height 100m. If on second time its initial velocity is doubled then the ball will reach a maximum height of

A100m B150m C200m D400m

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EnglishUP PGT-2016 (02-02-2019)

Q136.A stone is projected horizontally with a velocity 9.8 m/s from a tower of height 100m. Its speed after 1 sec. of projection is

A9.8m/s B4.9 m/s C9.8 2m/s DNone of the above (g= 9.8m/s2)

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EnglishUP PGT-2016 (02-02-2019)

Q137.If a body is acted upon by three forces and body is in equilibrium, then

AAll of them are parallel BThey meet at a point Cany two of them are parallel DEither they are all parallel or they meet in a point

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EnglishUP PGT-2016 (02-02-2019)

Q138.Two projectiles are projected with same velocity but with angles of projection (450 –θ) and (450 +θ). Ratio of their horizontal range is

A1: 2 B1: 3 C2: 1 D1: 1

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EnglishUP PGT-2016 (02-02-2019)

Q139.The Cartesion equation of a common catenary is

Ax y ccos c = Bx y csin h c = Cx y ctan h c = Dx y c cosh c =

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EnglishUP PGT-2016 (02-02-2019)

Q140.The motion of a projectile is described by the equation y= ax–bx2. Range of projectile is

Aa/b Ba/2b C2a/b Dnone of the above

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