A solid sphere of mass M and radius R rolls down a plane inclined at 0 with the horizontal. The acceleration of sphere is (where g is acceleration due to gravity) (3/7) g sin 0 (1/3) g sin0 (5/7) g sin0 (2/5) g sin 0 TRUE ANSWER : ? YOUR ANSWER : ?
The ratio of the ranges on the inclined plane with motion upward and with motion downward for a given velocity, angle of projection will be tan (α - β)/tan (α + β) sin (α + β)/sin (α - β) sin (α - β)/sin (α + β) cos (α - β)/cos (α + β) TRUE ANSWER : ? YOUR ANSWER : ?
The centre of gravity of the trapezium as shown in below figure from the side is at a distance of (h/2) × [(b + 2a)/(b + a)] (h/3) × [(2b + a)/(b + a)] (h/2) × [(2b + a)/(b + a)] (h/3) × [(b + 2a)/(b + a)] TRUE ANSWER : ? YOUR ANSWER : ?
Two shots fired simultaneously from the top and bottom of a vertical tower with elevations of 30° and 45° respectively strike a target simultaneously. If horizontal distance of the target from the tower is 1000 m, the height of the tower is 425 m 350 m 400 m 375 m TRUE ANSWER : ? YOUR ANSWER : ?
Maximum efficiency of a screw jack for the angle of friction θ, is sin θ/(1 + sin θ) (1 - sin θ)/(1 + sin θ) (1 + sin θ)/(1 - sin θ) (1 - sin θ)/sin θ TRUE ANSWER : ? YOUR ANSWER : ?
The ratio of the speed of a rolling cylinder to the speed of sliding cylinder is Greater than 2 Less than 1 Equal to 1 Between 1 and 2 TRUE ANSWER : ? YOUR ANSWER : ?
On a mass ‘m’ describing a circular path of radius ‘r’, the centrifugal force Acts away from the centre of rotation Is mw2r/g kgf Acts tangentially to the circular path Acts towards the centre of rotation TRUE ANSWER : ? YOUR ANSWER : ?
The phenomenon of collision of two elastic bodies takes place because bodies Immediately after collision come momentarily to rest All listed here Tend to compress each other till they are compressed maximum possible Attempt to regain its original shape due to their elasticities TRUE ANSWER : ? YOUR ANSWER : ?
The time period of a simple pendulum depends on (i) Mass of suspended particle (ii) Length of the pendulum (iii) Acceleration due to gravity Both (i) and (iii) All are correct Both (ii) and (iii) Only (i) TRUE ANSWER : ? YOUR ANSWER : ?
For the given values of initial velocity of projection and angle of inclination of the plane, the maximum range for a projectile projected upwards will be obtained, if the angle of projection is α = π/2 + β/2 α = π/4 - β/2 α = π/4 - β/2 α = β/2 - π/2 TRUE ANSWER : ? YOUR ANSWER : ?