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1.	A smooth sphere `(` mass `10kg. ` negligible radius `)` rolls on a smooth curved surface from the point `A` with a speed of `10m//s` as shown in figure. The sphere reaches the point `D` passing through point `B`. If the ground is taken as reference . Then `[` Take `g=10m//s^(2)]` Will the sphere go beyond `D ` ?A. YestB. NoC. More information is requiredD. none of these
Answer» Correct Answer - A

2.	Parallelogram law of vectors is applicable to the addition of `:`A. Any two vectorsB. Two scalarsC. A vector and a scallarD. Two vectors representing same physical quantity.
Answer» Correct Answer - D

3.	A particle moves in `xy` plane accordin to the law `x=a sin w t` and `y=a (1- cos w t )` where `a` and `w` are costant . The particle traces.A. a parabolaB. a straight line equally inclined to `x` and `y` axesC. a circleD. a distane proportional to time.
Answer» Correct Answer - C::D

4.	A particle is moving in a circle of radius `r` centred at `O` with constant speed `v`. What is the change in velocity in moving from `A "to" B (/_ AOB = 40^@)` ?A. `2v cos 40^(@)`B. `2v sin 20^(@)`C. `2v cos 20^(@)`D. none of these
Answer» Correct Answer - B

5.	A string 1m long is drawn by a 300 Hz vibrator attached to its end. The string vibrates in three segments. The speed of transverse waves in the string is equal toA. `100m//s`B. `200m//s`C. `300 m//s`D. `400 m//s`
Answer» Correct Answer - B

6.	A metal wire of length `L` is suspended vertically from a rigid support. When a bob of mass `M` is attached to the lower end of wire, the elongation of the wire is `l:`A. The loss in gravitational potential energy of mass `M` is `Mgl`.B. The elastic potential energy stored in the wire is `Mgl`C. The elastic potential energy stored in the wire is `(1)/(2)Mgl`D. Heat produced is loss of mechanical energy of system is `(1)/(2)Mgl`
Answer» Correct Answer - A::C::D

7.	The length of a metal wire is `l_(1)` when the tension in it is `T_(1)` and is `l_(2)` when the tension is `T_(2)`. Then natural length of the wire isA. `(l_(1)+l_(2))/(2)`B. `sqrt(l_(1)l_(2))`C. `(l_(1)T_(2)-l_(2)T_(1))/(T_(2)-T_(1))`D. `(l_(1)T_(2)+l_(2)T_(1))/(T_(2)-T_(1))`
Answer» Correct Answer - C

8.	A wire elongastes by 1.0 mm when a load W ils hung from it. If this wire goes over a pulley and two weights W each are hung at the two ends the elongation of the wire will beA. `0.5m`B. `1.0mm`C. `2.0mm`D. `4.0mm`
Answer» Correct Answer - B

9.	Which of the following statements is `//`are true.A. workd done by kinetic friction on an object may be positiveB. A rigid body rolls up an inclined plane without sliding. The friction force on it will be upwards `(` only contact force and gravitational force is acting. `)`C. A rigid body rolls down an inclined plane without sliding. The friction force on it will be upwards. `(` only contact force and gravitational force is acting `)`D. A rigid body is left from set rest and having no angular velocity from the top of a rough inclined plane. It moves down the plane with slipping. The friction force on it will be upwards.
Answer» Correct Answer - A::B::C::D

10.	A uniform disc of mass `m` and radius `r` and a point mass `m` are arranged as shown in the figure. The acceleration of point mass is `: (` Assume there is no slipping between pulley and thread and the disc can rotate smoothly about a fixed horizontal axis passing through its centre and perpendicular to its plane `)` A. `(g)/(2)`B. `(g)/(3)`C. `(2g)/(3)`D. none of these
Answer» Correct Answer - C

11.	The moment of inertia of a thin sheet of mass `M` of the given shape about the specified axis is `(` axis and sheet both are in same plane `: )` A. `(7)/(12)Ma^(2)`B. `(5)/(12)Ma^(2)`C. `(1)/(3)Ma^(2)`D. `(1)/(12)Ma^(2)`
Answer» Correct Answer - A

12.	A particle travels according to the equation `x=at^(3),y=bt^(3)`. The equation of the trajectory isA. `y=(ax^(2))/(b)`B. `y=(bx^(2))/(a)`C. `y=(bx)/(a)`D. `y=(bx^(3))/(a)`
Answer» Correct Answer - C

13.	The amplitude of a particle executing `SHM` about `O` is `10cm`. Then `:`A. when the `K.E.` is `0.64` of its maximum `K.E.` is displacement is `6cm` from `O`B. when the displacement is `5cm` from `O` its `K.E.` is `0.75` times its maximum `K.E.`C.D. Its total energy of `SHM` at any point is equal to its maximum `K.E.`
Answer» Correct Answer - A::B::C

14.	The amplitude of a particle executing `SHM` about `O` is `10cm`. Then `:`A. when the `K.E.` is `0.64` of its maximum `K.E.` its displacement is `6cm` from `O`.B. when the displacement is `5cm` from `O` its `K.E.` is `0.75` times its maximum `K.E.`C. Its total energy of `SHM` at any point is equal to its maximum `K.E.`D. Its speed is half the maximum speed when its displacement is half the maximum displacement.
Answer» Correct Answer - A::B::C

15.	A metal square plate of `10cm` side rests on `2mm` thick caster oil layer. Calculate the horizontal force needed to move the plate with speed `3cm s^(-1) : (` Coefficient of viscosity of caster oil is 15 poise. )A. `2.25xx10^(-2)N`B. `2.25xx10^(-1)N`C. `2.25xx10^(-3)N`D. `2.25xx10^(-4)N`
Answer» Correct Answer - B