Page 1 CBSE | Physics Sample Paper 5 Solution CBSE Board Class XI Physics Sample Paper-5 Solution 1. It is a fundamental unit because it is defined in terms of certain basic, though, arbitrarily chosen standardized reference standard. 2. 1:1, time taken is the same if air resistance is neglected. 3. They are equal if they have the same magnitude and also the same direction. 4. The ratio of their speeds 21 12 vm vm ? 5. Impulse is the change in momentum of a body and it is given by the product of the force and the duration of the force 6. A force for which the work done depends only on the end points is called a conservative force. 7. At 50cm 8. Elasticity and inertia 9. 1 32 2 1 3 1% 2 3% 4% 2% 2 13% ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? P a b c d P a b c d Page 2 CBSE | Physics Sample Paper 5 Solution CBSE Board Class XI Physics Sample Paper-5 Solution 1. It is a fundamental unit because it is defined in terms of certain basic, though, arbitrarily chosen standardized reference standard. 2. 1:1, time taken is the same if air resistance is neglected. 3. They are equal if they have the same magnitude and also the same direction. 4. The ratio of their speeds 21 12 vm vm ? 5. Impulse is the change in momentum of a body and it is given by the product of the force and the duration of the force 6. A force for which the work done depends only on the end points is called a conservative force. 7. At 50cm 8. Elasticity and inertia 9. 1 32 2 1 3 1% 2 3% 4% 2% 2 13% ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? P a b c d P a b c d CBSE | Physics Sample Paper 5 Solution 10. 2 2 2 2 2 1 sin sin 2 2 sin sin 2 sin 4sin cos tan 4 tan 4 ? ? ? ? ? ? uu gg Hence ?? ?? ? ? ? ? ? OR 2 ˆ ˆ ˆ ˆ ( ) (3.0 2.0 ) 3.0 4.0 ˆ ( ) 4.0 ? ? ? ? ? d v t ti t j i tj dt a t j 11. Since work done (W) = f s cos ? Work done by the cycle on the road is zero because the displacement of the road is zero. 12. The angle between these vectors is 180 degrees as they are in opposite direction to each other. The right hand screw rule gives the direction. Open up your right hand palm and curl the fingers pointing from vector a to vector b. Your outstretched thumb points in the direction of the vector product. 13. The various regions of the spherical shell attract the point mass inside it in various directions. These forces cancel each other out completely so the net force on a point mass inside it is zero. 14. 52 5 92 / 0.01 100 2 2 1.013 10 / 2 1.013 10 2.026 10 / 0.01 100 ? ? ? ? ? ? ? ? ? ? ?? ? ? ? p B VV V V p atmospheres N m B N m Page 3 CBSE | Physics Sample Paper 5 Solution CBSE Board Class XI Physics Sample Paper-5 Solution 1. It is a fundamental unit because it is defined in terms of certain basic, though, arbitrarily chosen standardized reference standard. 2. 1:1, time taken is the same if air resistance is neglected. 3. They are equal if they have the same magnitude and also the same direction. 4. The ratio of their speeds 21 12 vm vm ? 5. Impulse is the change in momentum of a body and it is given by the product of the force and the duration of the force 6. A force for which the work done depends only on the end points is called a conservative force. 7. At 50cm 8. Elasticity and inertia 9. 1 32 2 1 3 1% 2 3% 4% 2% 2 13% ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? P a b c d P a b c d CBSE | Physics Sample Paper 5 Solution 10. 2 2 2 2 2 1 sin sin 2 2 sin sin 2 sin 4sin cos tan 4 tan 4 ? ? ? ? ? ? uu gg Hence ?? ?? ? ? ? ? ? OR 2 ˆ ˆ ˆ ˆ ( ) (3.0 2.0 ) 3.0 4.0 ˆ ( ) 4.0 ? ? ? ? ? d v t ti t j i tj dt a t j 11. Since work done (W) = f s cos ? Work done by the cycle on the road is zero because the displacement of the road is zero. 12. The angle between these vectors is 180 degrees as they are in opposite direction to each other. The right hand screw rule gives the direction. Open up your right hand palm and curl the fingers pointing from vector a to vector b. Your outstretched thumb points in the direction of the vector product. 13. The various regions of the spherical shell attract the point mass inside it in various directions. These forces cancel each other out completely so the net force on a point mass inside it is zero. 14. 52 5 92 / 0.01 100 2 2 1.013 10 / 2 1.013 10 2.026 10 / 0.01 100 ? ? ? ? ? ? ? ? ? ? ?? ? ? ? p B VV V V p atmospheres N m B N m CBSE | Physics Sample Paper 5 Solution 15. It states that the rate of cooling of a body is proportional to the excess temperature of the body over the surroundings. 21 () dQ k T T dt ?? Where T 1 is the temperature of the surrounding medium and T 2 is the temperature of the body. 16. 12 12 12 12 3 1 12 2 33 39.9 (273 20) 2.52 10 4 ?? ? ? ? ? ? ? ? rms RT RT v MM TT MM M T T K M 17. 2 i)At maximum height v=0 0 = usin -gt 2usin Time of flight T = 2t = g ) The body falls back to the same height at which it started when it covers its horizontal range. Then derive u sin 2 R = ii g ? ? ? 18. 2 11 2 11 12 1f 1 12 2 1 12 1 1 1 2 1 The initial kinetic energy of the neutron = 2 1 final kinetic energy of the neutron = 2 v fractional kinetic energy lost is f ki ? ? ? ?? ? ?? ?? ? ?? i f i f i mv The mv mm Use v mm The K mm K m m Fractional ? ? 2 1 2 1 2 21 2 12 12 netic energy gained by the nuclei with which it collides is 4 f 1 1 ?? ? ? ? ? ? ? ?? ? ? ?? m m mm f mm mm If 12 and m m are comparable with each other, the energy transferred is more. Page 4 CBSE | Physics Sample Paper 5 Solution CBSE Board Class XI Physics Sample Paper-5 Solution 1. It is a fundamental unit because it is defined in terms of certain basic, though, arbitrarily chosen standardized reference standard. 2. 1:1, time taken is the same if air resistance is neglected. 3. They are equal if they have the same magnitude and also the same direction. 4. The ratio of their speeds 21 12 vm vm ? 5. Impulse is the change in momentum of a body and it is given by the product of the force and the duration of the force 6. A force for which the work done depends only on the end points is called a conservative force. 7. At 50cm 8. Elasticity and inertia 9. 1 32 2 1 3 1% 2 3% 4% 2% 2 13% ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? P a b c d P a b c d CBSE | Physics Sample Paper 5 Solution 10. 2 2 2 2 2 1 sin sin 2 2 sin sin 2 sin 4sin cos tan 4 tan 4 ? ? ? ? ? ? uu gg Hence ?? ?? ? ? ? ? ? OR 2 ˆ ˆ ˆ ˆ ( ) (3.0 2.0 ) 3.0 4.0 ˆ ( ) 4.0 ? ? ? ? ? d v t ti t j i tj dt a t j 11. Since work done (W) = f s cos ? Work done by the cycle on the road is zero because the displacement of the road is zero. 12. The angle between these vectors is 180 degrees as they are in opposite direction to each other. The right hand screw rule gives the direction. Open up your right hand palm and curl the fingers pointing from vector a to vector b. Your outstretched thumb points in the direction of the vector product. 13. The various regions of the spherical shell attract the point mass inside it in various directions. These forces cancel each other out completely so the net force on a point mass inside it is zero. 14. 52 5 92 / 0.01 100 2 2 1.013 10 / 2 1.013 10 2.026 10 / 0.01 100 ? ? ? ? ? ? ? ? ? ? ?? ? ? ? p B VV V V p atmospheres N m B N m CBSE | Physics Sample Paper 5 Solution 15. It states that the rate of cooling of a body is proportional to the excess temperature of the body over the surroundings. 21 () dQ k T T dt ?? Where T 1 is the temperature of the surrounding medium and T 2 is the temperature of the body. 16. 12 12 12 12 3 1 12 2 33 39.9 (273 20) 2.52 10 4 ?? ? ? ? ? ? ? ? rms RT RT v MM TT MM M T T K M 17. 2 i)At maximum height v=0 0 = usin -gt 2usin Time of flight T = 2t = g ) The body falls back to the same height at which it started when it covers its horizontal range. Then derive u sin 2 R = ii g ? ? ? 18. 2 11 2 11 12 1f 1 12 2 1 12 1 1 1 2 1 The initial kinetic energy of the neutron = 2 1 final kinetic energy of the neutron = 2 v fractional kinetic energy lost is f ki ? ? ? ?? ? ?? ?? ? ?? i f i f i mv The mv mm Use v mm The K mm K m m Fractional ? ? 2 1 2 1 2 21 2 12 12 netic energy gained by the nuclei with which it collides is 4 f 1 1 ?? ? ? ? ? ? ? ?? ? ? ?? m m mm f mm mm If 12 and m m are comparable with each other, the energy transferred is more. CBSE | Physics Sample Paper 5 Solution 19. The moment of inertia of a rigid body about an axis defined by the formula 2 i where r ii I mr ? ? is the perpendicular distance of the i th point of the body from the axis. The moment of inertial about a tangent to the ring in the plane of the ring is the moment of inertia about a diameter parallel to the tangent + Mh 2 where h is the distance between the two parallel axes. I = MR 2 /2 + MR 2 = 3/2 MR 2 20. The change in total energy is 9 2( ) 2( ) 4 2( ) 2( 3 ) 8 Change in total energy = 3.13 10 J 88 ? ? ? ? ? ? ? ?? ? ? ? ? ? ? ?? ? ? ? fi i f EE GmM GmM GmM E R h R R R GmM GmM GmM E R h R R R GmM gmR R The kinetic energy of the satellite reduces and it is given by 9 3.13 10 J ?? . The change is potential energy is twice the change in the total energy so change in potential energy is 9 6.26 10 J ?? . 21. (a) From the given graphs we observe that for a given strain, stress required for A is more than that of B. Hence, Young's Modulus (= Stress/strain) of A is greater than that of B. (b) Material A is stronger as it can withstand more stress (load) before breaking (fracture) of the material. OR Pascal’s law states that whenever external pressure is applied on any part of a fluid contained in a vessel, it is transmitted undiminished and equally in all directions. Pressure = atmospheric pressure + pressure due to the water. 55 1.01 10 10(1000)(10) 2.01 10 P Pa ? ? ? ? ? Page 5 CBSE | Physics Sample Paper 5 Solution CBSE Board Class XI Physics Sample Paper-5 Solution 1. It is a fundamental unit because it is defined in terms of certain basic, though, arbitrarily chosen standardized reference standard. 2. 1:1, time taken is the same if air resistance is neglected. 3. They are equal if they have the same magnitude and also the same direction. 4. The ratio of their speeds 21 12 vm vm ? 5. Impulse is the change in momentum of a body and it is given by the product of the force and the duration of the force 6. A force for which the work done depends only on the end points is called a conservative force. 7. At 50cm 8. Elasticity and inertia 9. 1 32 2 1 3 1% 2 3% 4% 2% 2 13% ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? P a b c d P a b c d CBSE | Physics Sample Paper 5 Solution 10. 2 2 2 2 2 1 sin sin 2 2 sin sin 2 sin 4sin cos tan 4 tan 4 ? ? ? ? ? ? uu gg Hence ?? ?? ? ? ? ? ? OR 2 ˆ ˆ ˆ ˆ ( ) (3.0 2.0 ) 3.0 4.0 ˆ ( ) 4.0 ? ? ? ? ? d v t ti t j i tj dt a t j 11. Since work done (W) = f s cos ? Work done by the cycle on the road is zero because the displacement of the road is zero. 12. The angle between these vectors is 180 degrees as they are in opposite direction to each other. The right hand screw rule gives the direction. Open up your right hand palm and curl the fingers pointing from vector a to vector b. Your outstretched thumb points in the direction of the vector product. 13. The various regions of the spherical shell attract the point mass inside it in various directions. These forces cancel each other out completely so the net force on a point mass inside it is zero. 14. 52 5 92 / 0.01 100 2 2 1.013 10 / 2 1.013 10 2.026 10 / 0.01 100 ? ? ? ? ? ? ? ? ? ? ?? ? ? ? p B VV V V p atmospheres N m B N m CBSE | Physics Sample Paper 5 Solution 15. It states that the rate of cooling of a body is proportional to the excess temperature of the body over the surroundings. 21 () dQ k T T dt ?? Where T 1 is the temperature of the surrounding medium and T 2 is the temperature of the body. 16. 12 12 12 12 3 1 12 2 33 39.9 (273 20) 2.52 10 4 ?? ? ? ? ? ? ? ? rms RT RT v MM TT MM M T T K M 17. 2 i)At maximum height v=0 0 = usin -gt 2usin Time of flight T = 2t = g ) The body falls back to the same height at which it started when it covers its horizontal range. Then derive u sin 2 R = ii g ? ? ? 18. 2 11 2 11 12 1f 1 12 2 1 12 1 1 1 2 1 The initial kinetic energy of the neutron = 2 1 final kinetic energy of the neutron = 2 v fractional kinetic energy lost is f ki ? ? ? ?? ? ?? ?? ? ?? i f i f i mv The mv mm Use v mm The K mm K m m Fractional ? ? 2 1 2 1 2 21 2 12 12 netic energy gained by the nuclei with which it collides is 4 f 1 1 ?? ? ? ? ? ? ? ?? ? ? ?? m m mm f mm mm If 12 and m m are comparable with each other, the energy transferred is more. CBSE | Physics Sample Paper 5 Solution 19. The moment of inertia of a rigid body about an axis defined by the formula 2 i where r ii I mr ? ? is the perpendicular distance of the i th point of the body from the axis. The moment of inertial about a tangent to the ring in the plane of the ring is the moment of inertia about a diameter parallel to the tangent + Mh 2 where h is the distance between the two parallel axes. I = MR 2 /2 + MR 2 = 3/2 MR 2 20. The change in total energy is 9 2( ) 2( ) 4 2( ) 2( 3 ) 8 Change in total energy = 3.13 10 J 88 ? ? ? ? ? ? ? ?? ? ? ? ? ? ? ?? ? ? ? fi i f EE GmM GmM GmM E R h R R R GmM GmM GmM E R h R R R GmM gmR R The kinetic energy of the satellite reduces and it is given by 9 3.13 10 J ?? . The change is potential energy is twice the change in the total energy so change in potential energy is 9 6.26 10 J ?? . 21. (a) From the given graphs we observe that for a given strain, stress required for A is more than that of B. Hence, Young's Modulus (= Stress/strain) of A is greater than that of B. (b) Material A is stronger as it can withstand more stress (load) before breaking (fracture) of the material. OR Pascal’s law states that whenever external pressure is applied on any part of a fluid contained in a vessel, it is transmitted undiminished and equally in all directions. Pressure = atmospheric pressure + pressure due to the water. 55 1.01 10 10(1000)(10) 2.01 10 P Pa ? ? ? ? ? CBSE | Physics Sample Paper 5 Solution 22. In equilibrium, the total energy is equally distributed in all possible energy modes, with each mode having an average energy equal to 1/2kT. This is the law of equipartition of energy. A diatomic molecule that can be taken as a rigid rotator with 5 degrees of freedom: 3 translational and 2 rotational. Using the law of equipartition of energy the total internal energy of a mole of such a gas is given by V P P V 55 22 5 Then molar specific heat at constant volume C 2 7 molar specific heat at constant pressure C 2 C 7 C5 ? ? ? ? ? ? U kT N RT R and R Hence 23. If both are travelling towards north then relative velocity of car A w.r.t. B is 60-45 = 15km/h northwards. If A travels towards north and B travels southwards then velocity of A w.r.t. B is 60-(-45) = 105km/h northwards. 24. Work-energy theorem states that the work done on a particle by a resultant force is equal to the change in its kinetic energy. 21 . . . . . . ?? ? ? ? ?? ?? ? ? ? ds W F ds F dt dt dK Fvdt dt dK dt W K K 25. We know that, dP F dt ? or Fdt dP ? If the impact lasts for a small time dt and the momentum of the body changes from 12 PtoP then,Read More

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