Practice Questions

Q1. hello dummy text (1) A - III, B - I, C - II, D - IV (2) A - III, B - IV, C - I, D - II (3) A - II, B - IV, C - III, D - I (4) A - I, B - III, C - IV, D - II

Q1. Given below are two statements : Statement I : Astronomical unit (Au), Parsec (Pc) and Light year (ly) are units for measuring astronomical distances. Statement II : Au < Parsec (Pc) < ly In the light of the above statements, choose the most appropriate answer from the options given below: (1) Both Statements I and Statements II are incorrect (2) Statements I is correct but Statements II is incorrect (3) Both Statements I and Statements II are correct (4) Statements I is incorrect but Statements II is correct

Q1. Match List I with List II List I List II A Torque I kg m–1 s–2 B Energy density II kg m s–1 C Pressure gradient III kg m–2 s–2 D Impulse IV kg m2 s–2 Choose the correct answer from the options given below : (1) A-IV, B-III, C-I, D-II (2) A-I, B-IV, C-III, D-II (3) A-IV, B-I, C-II, D-III (4) A-IV, B-I, C-III, D-II

Q1. If two vectors P = ˆi + 2mˆj + mˆk and Q = 4ˆi −2ˆj + mˆk are perpendicular to each other. Then, the value of m will be (1) −1 (2) 2 (3) 3 (4) 1

Q1. Match List I with List II : List-I (Physical Quantity) List-II (Dimensional Formula) A Pressure gradient I [M0L2T−2] B Energy density II [M1L−1T−2] C Electric Field III [M1L−2T−2] D Latent heat IV [M1L1T−3A−1] Choose the correct answer from the options given below: (1) A-III, B-II, C-I, D-IV (2) A-II, B-III, C-IV, D-I (3) A-III, B-II, C-IV, D-I (4) A-II, B-III, C-I, D-IV

Q1. A particle starts with an initial velocity of 10. 0 ms−1 along x-direction and accelerates uniformly at the rate of 2. 0 m s−2 . The time taken by the particle to reach the velocity of 60. 0 m s−1 is _____. (1) 25 s (2) 3 s (3) 6 s (4) 30 s

Q1. A vector in x −y plane makes an angle of 30o with y -axis. The magnitude of y -component of vector is 2√3. The magnitude of x-component of the vector will be : (1) 1 (2) 6 √3 (3) 2 (4) √3

Q1. A person travels 𝑥 distance with velocity 𝑣1 and then 𝑥 distance with velocity 𝑣2 in the same direction. The average velocity of the person is 𝑣, then the relation between 𝑣, 𝑣1 and 𝑣2 will be 𝑣1 + 𝑣2 1 1 1 (1) 𝑣= (2) 𝑣= 𝑣1 + 𝑣2 2 2 1 1 (3) 𝑣= 𝑣1 + 𝑣2 (4) 𝑣= 𝑣1 + 𝑣2

Q2. Match List I with List II List-I List-II A Spring constant I [T –1] B Angular speed II [MT –2] C Angular momentum III [ML2] D Moment of Inertia IV [ML2T –1] Choose the correct answer from the options given below: (1) A-I, B-III, C-II, D-IV (2) A-IV, B-I, C-III, D-II (3) A-II, B-I, C-IV, D-III (4) A-II, B-III, C-I, D-IV

Q2. The distance travelled by an object in time 𝑡 is given by 𝑠= 2 . 5𝑡2 . The instantaneous speed of the object at 𝑡= 5 s will be : (1) 25 m s – 1 (2) 5 m s – 1 (3) 62 . 5 m s – 1 (4) 12 . 5 m s – 1

Q2. The position-time graphs for two students 𝐴 and 𝐵 returning from the school to their homes are shown in figure. (A) 𝐴 lives closer to the school (B) 𝐵 lives closer to the school (C) 𝐴 takes lesser time to reach home (D) 𝐴 travels faster than 𝐵 (E) 𝐵 travels faster than 𝐴 Choose the correct answer from the options given below (1) A, C and D only (2) A, C and E only (3) B and E only (4) A and E only

Q2. The equation of a circle is given by x2 + y2 = a2 , where a is the radius. If the equation is modified to change the origin other than (0, 0), then find out the correct dimensions of A and B in a new equation : (x −At)2 + (y − Bt ) 2 = a2 The dimensions of t is given as [T−1] (1) A = [L–1T], B = [LT–1] (2) A = [LT], B = [L–1T –1] (3) A = [L–1T –1 ], B = [LT–1] (4) A = [L–1T –1], B = [LT]

Q2. Match List I with List II List - I List - II A Surface tension I. kg m−1 s−1 B Pressure II. kg m s−1 C Viscosity III. kg m−1 s−2 D Impulse IV. kg s−2 Choose the correct answer from the options given below: (1) A-IV, B-III, C-II, D-I (2) A-IV, B-III, C-I, D-II (3) A-III, B-IV, C-I, D-II (4) A-II, B-I, C-III, D-IV

Q2. Given below are two statements: Statement I: Area under velocity-time graph gives the distance travelled by the body in a given time. Statement II: Area under acceleration-time graph is equal to the change in velocity in the given time. In the light of given statements, choose the correct answer from the options given below. (1) Both Statement I and Statement II are true (2) Both Statement I and Statement II are false (3) Statement I is correct but Statement II is false (4) Statement I is incorrect but Statement II is true x and y are measured in

Q2. Two forces having magnitude A and A2 are perpendicular to each other. The magnitude of their resultant is: (1) √5A (2) √5A 4 2 (3) 5A (4) √5A2 2 2

Q2. Match List I with List II List I List II A Angular momentum I [ML2 T−2] B Torque II [ML−2 T−2] C Stress III [ML2 T−1] D Pressure gradient IV [ML−1 T−2] Choose the correct answer from the options given below : (1) A-I, B-IV, C-III, D-II (2) A-III, B-I, C-IV, D-II (3) A-II, B-III, C-IV, D-I (4) A-IV, B-II, C-I, D-III

Q2. The distance travelled by a particle is related to time t as x = 4t2 . The velocity of the particle at t = 5 s is (1) 40 m s–1 (2) 25 m s–1 (3) 20 m s–1 (4) 8 m s–1

Q2. Two projectiles are projected at 30° and 60°with the horizontal with the same speed. The ratio of the maximum height attained by the two projectiles respectively is: (1) √3 : 1 (2) 1 : √3 (3) 2 : √3 (4) 1 : 3

Q2. A vehicle travels 4 km with speed of 3 km h−1 and another 4 km with speed of 5 km h−1 , then its average speed is : (1) 4. 25 km h−1 (2) 3. 50 km h−1 (3) 4. 00 km h−1 (4) 3. 75 km h−1

Q3. A stone is projected at angle 30° to the horizontal. The ratio of kinetic energy of the stone at point of projection to its kinetic energy at the highest point of flight will be : (1) 1 : 2 (2) 1 : 4 (3) 4 : 1 (4) 4 : 3

Q3. A stone of mass 1 kg is tied to end of a massless string of length 1 m. If the breaking tension of the string is 400 N , then maximum linear velocity, the stone can have without breaking the string, while rotating in horizontal plane, is: (1) 20 m s−1 (2) 40 m s−1 (3) 400 m s−1 (4) 10 m s−1

Q3. The position of a particle related to time is given by x = (5t2 −4t + 5) m. The magnitude of velocity of the particle at t = 2 s will be : (1) 06 m s−1 (2) 14 m s−1 (3) 10 m s−1 (4) 16 m s−1

Q3. Two objects are projected with same velocity u however at different angles α and β with the horizontal. If α + β = 90° , the ratio of horizontal range of the first object to the 2nd object will be : (1) 4 : 1 (2) 2 : 1 (3) 1 : 2 (4) 1 : 1

Q3. A car travels a distance of x with speed v1 and then same distance x with speed v2 in the same direction. The average speed of the car is: (1) v1v2 (2) v1+v2 2(v1+v2) 2 (3) 2x (4) 2v1v2 v1+v2 v1+v2

Q3. A passenger sitting in a train A moving at 90 km h-1 observes another train B moving in the opposite direction for 8 s. If the velocity of the train B is 54 km h-1, then length of train B is: (1) 120 m (2) 320 m (3) 80 m (4) 200 m