A 10 Cm Long Rod Ab Moves With Its Ends On Two Mutually 1) (8 / 3) cm / sec 2) (4 / 3) cm / sec 3) (2 / 9) cm / sec 4) None of these Solution: (1) (8 / 3) cm / sec x2 + y2 = 100... View Article
A Particle Is Moving In A Straight Line According To The Formula S T 2 8t 12 1) 14 m/sec 2) 13 m/sec 3) 15 m/sec 4) None of these Solution: (2) 13 m/sec Average velocity in third second = Distance travelled... View Article
The Equation Of Motion Of A Particle Moving Along A Straight Line Is 1) 3 / 2 sec 2) 2 / 3 sec 3) 1 / 2 sec 4) Never Solution: (1) 3 / 2 sec s = 2t3 – 9t2 + 12t a = d2s / dt2 ds / dt = 6t2 - 18t... View Article
If T V 2 2 Then Df Dt Is Equal To Where F Is Acceleration 1) f2 2) f3 3) - f3 4) - f2 Solution: (3) - f3 t = v2 / 2 v2 = 2t 2v (dv / dt) = 2 dv / dt = 1 / v = f df / dt = (- 1 / v2)... View Article
If 2t V 2 Then Dv Dt 1) 0 2) 1 / 4 3) 1 / 2 4) 1 / v Solution: (4) 1 / v 2t = v2 2v (dv /dt) = 2 dv / dt = 1 / v... View Article
A Stone Is Thrown Vertically Upwards From The Top Of A Tower 64 Metres High According 1) 100 metre 2) 64 metre 3) 36 metre 4) 32 metre Solution: (1) 100 metre v = 0, ds / dt = 0 48 - 32t = 0 t = 36m (height... View Article
The Equations Of Motion Of Two Stones Thrown Vertically Simultaneously 1) h / 3 2) 2h 3) h 4) 0 Solution: (4) 0 Time taken by 1st stone to attain maximum height = t = u / g = 19.6 / 9.8 = 2sec Time... View Article
The Length Of The Side Of A Square Sheet Of Metal Is Increasing At The Rate Of 4 Cm Sec 1) 16 cm2/sec 2) 8 cm2/sec 3) 64 cm2/sec 4) None of these Solution: (3) 64 cm2/sec A = a2 dA / dt = 2a (dA / dt) = 2 * 8 * 4 =... View Article
A Body Moves According To The Formula V 1 T 2 Where V Is The Velocity 1) 24 cm/sec2 2) 12 cm/sec2 3) 6 cm/sec2 4) None of these Solution: (3) 6 cm/sec2 Acceleration f = dv / dt = 2t, then acceleration... View Article
The Equation Of Motion Of A Stone Thrown Vertically Upwards From The Surface Of A Planet 1) (10 / 3) sec 2) (5 / 3) sec 3) (20 / 3) sec 4) (5 / 6) sec Solution: (1) (10 / 3) sec ds / dt = 10 - 6t = v But v = 0 (at... View Article
The Volume V And Depth X Of Water In A Vessel Are Connected By The Relation 1) (5 / 18) cm / sec 2) (1 / 4) cm / sec 3) (5 / 16) cm / sec 4) None of these Solution: (4) None of these V = 5x - (x2 / 6) dv /... View Article
A Particle Moves In A Straight Line So That Its Velocity At Any Point Is Given 1) Zero 2) Uniform 3) Non - uniform 4) Indeterminate Solution: (2) Uniform A = dv / dt v2 = a + bx 2v (dv / dt) = b . (dx / dt)... View Article
The Equation Of Motion Of A Stone Thrown Vertically Upwards Is S Ut 6 3t 2 1) 18.9 cm/sec 2) 12.6 cm/sec 3) 37.8 cm/sec 4) None of these Solution: (3) 37.8 cm/sec Velocity of particle at the maximum height... View Article
The Distance In Seconds Described By A Particle In T Seconds Is Given By 1) proportional to t 2) Proportional to s 3) s 4) Constant Solution: (3) s Acceleration = d2s / dt2 s = aet + (b / et) ds / dt... View Article
A Point Moves In A Straight Line During Time T 0 To T 3 According To The Law 1) 3 2) 9 3) 15 4) 27 Solution: (2) 9 Motion of a particle s = 15t - 2t2 Velocity = ds / dt = 15 - 4t (ds / dt)t=0 = 15 and... View Article
The Law Of Motion In A Straight Line X 1 2 Vt Then Acceleration Is 1) Constant 2) Proportional to t 3) Proportional to v 4) Proportional to s Solution: (1) Constant x = (1 / 2) vt x = (1 / 2) (dx... View Article
An Edge Of A Variable Cube Is Increasing At The Rate Of 10 Cm Sec 1) 750 cm3/sec 2) 75 cm3/sec 3) 300 cm3/sec 4) 150 cm3/sec 5) 25 cm3/sec Solution: (1) 750 cm3/sec dx / dt = 10 V = x3 dV /... View Article
A Stone Moving Vertically Upwards Has Its Equation Of Motion H 490t 4 9 T 2 1) 12250 2) 1225 3) 36750 4) None of these Solution: (1) 12250 h = 490t – 4.9 t2 dh / dt = 0 for maximum height 490 (dt / dt)... View Article
The Equation Of Motion Of A Car Is S T 2 2t Where Is Measured In Hours 1) 2 km/h 2) 4 km/h 3) 3 km/h 4) 8 km/h Solution: s = t2 – 2t When distance is 15km, 15 = t2 - 2t t2 - 2t - 15 = 0 (t - 5) (t... View Article
The Velocity Of A Particle At Time T Is Given By The Relation V 6t T 2 6 1) 39 / 2 2) 57 / 2 3) 51 / 2 4) 33 / 2 Solution: (3) 51 / 2 v = 6t – (t2 / 6) = ds / dt ds / dt = 6t - (t2 / 6) Integrating on... View Article