MM Home Tuition - CBSE Class 11 Physics 2026 Question and Solution

Assuming that the earth is a perfect sphere of uniform density , the variation of acceleration due to gravity with in the earth is related to “r” as (r= R- d i.e distance from centre of earth , R is radius of earth and D is the depth from surface of earth ) a) inversely proportional to r b) inversely proportional to r2 c) directly proportional to r 1 d) directly proportional to r2
In the equation Y= a sin ( wt + Kx ) , where “x” is distance and “t” is time . Dimensional formula of “k” and “w” respectively are A: [M0L0T0] & [M0L0T1] B:[M0L1T-1] & [M0L0T-1] C: [M0L1T0] & [M0L0T0] D) [M0L-1T0] & [M0L0T-1]
The graph of displacement vs time of a particle moving along a straight line is as shown . The best option for the corresponding velocity-time graph will be
A motorcyclist going with a constant speed in a circular track has a) linear velocity is constant b) constant acceleration c) Angular velocity is constant d) constant Force
Which of the following graph denotes the variation of kinetic energy with velocity ?Assume velocity on the x-axis and kinetic energy on the y-axis
In the figure shown below all the contact surfaces are perfectly smooth .”M” and “m” starts sliding down due to the force of gravity then the centre of mass of the system will a) remain unchanged b) change horizontally c) change vertically d) change both horizontally and vertically
The Root mean square speed of a gas molecule of mass m at a given temperature is [roportional to A) m0 B) m1 C) √m D) 1/√m
During isothermal expansion , a confined ideal gas does +150j of work against its surroundings . this implies that a) 150 j of heat is removed from the gas b) 300 j of heat has been added to the gas c) no heat is transferred as the process is isothermal d) 150 j of heat has been added to the gas
The total pressure inside a drop of mercury of radius 3mm at room temp is (surface tension of mercury at room temp = 4.65 * 10 -1 N/m , pa= 1.01 * 10 5 pa ) a) 1.013 * 10 5 pa b) 2.01 * 10 5 pa c) 1.49 * 10 4 pa
The unit of coefficient of thermal conductivity is a) wm1k-1 b)wm-2k-1 c) wm-1k-1 d) wm2k-1
The displacement – time graph of a particle executing SHM is given in the figure (sketch is schematic and not to the scale ) a) The force is zero at t=3T/4 b) The acceleration is maximum at t=T c) the speed is maximum at t=T/4 d) The PE is equals to KE of the oscillation at t=T/4 which of the statement is correct a) b,c,d b) a,d c) a,b,c d) a,b,d
An open pipe is suddenly closed at one end with the result that the frequency of third harmonic of the closed pipe is found to be higher by 100HZ,than the fundamental frequency of the open pipe . the fundamental frequency of open pipe is a) 100HZ b)200HZ c)300HZ d) 400HZ
Assertion (A): A body can have zero velocity and still be accelerating Reason (R): At the highest point of a vertical throw the velocity is zero but the acceleration due to gravity is g=9.8m/s2
Assertion : (A) A tablecloth can be pulled from a table without dislodging the dishes .Reason (R): To every ction there is an equal and oppostite reaction
Assertion(A): The shape of an automobile is so designed that its front resembles the streamline patteren of the fluid through which it moves Reason (R): the resistance offered by the fluid is maximum .
Assertion : To hear distinct beats difference in the frequencies of the two sources should be less than 10 HZ Reason : more the number of beats per second more difficult to hear them
A. Find the value of 60 J per min on a system that has 100g,100cm, and 1 min as the base unit B. Check the correctness of the relation ƛ= h/mv , where ƛ is wavelength , h = planck’s constant , m is mass of particle , v = velocity of the particle
(i) Find the unit vector perpendicular to both A= 2Î + 2 Ĵ + 2 κ and B = Î-3Ĵ + 3κ or (ii) The resultant of the two vector 3p and 2p is R , if the first vector is doubled , the resultant vector also becomes double , find the angle between the vectors ?
State work energy theorm in mathematical form , when a body is thrown vertically upwards with an initial velocity to a height h then workdone by gravity is negative ,justify by using work- energy theorm .
(i) show that the pressure exerted by a gas is two-third of the average kinetic energy per unit volume of the gas molecule . (ii) state law of equipartition of energy , hence find the specific heat ratio for a non-linear triatomic gas.
One kg water 373K is converted into steam at the same temperature . The volume of 1cm of water becomes 1671cm3 on boiling . calculate the change in internal energy of the system , if heat of vapourization is 540cal g -1 , given standard atmospheric pressure is 1.013 * 10 5 pa .
A) Derive the position velocity equation for uniformly accelerated motion of a body in a straight-line along x-axis , The figure represented the velocity-time graph of a body moving in a straight line . B. calculate the average velocity of the body C. Find the average acceleration of the body .
A projectile fired at an angle φ with the vertical with velocity u. deduce expression for A) the maximum height B) maximum horizontal range
A) Explain how impulse of a force measured graphically .B) A block of mass m slides down an inclined plane of inclination φ with uniform speed. The coefficient of friction between the block and the plane is μ. Calculate the force of friction between the block and plane .
A)find the expression for minimum speed for a particle of mass m to escape permanently from gravitational pull of earth B) if the earth loses 99% of its mass,find the new escape speed .
A) Draw stress-strain curve of a material that satisfies Hooke’s law ?B)Determine the volume contraction of a solid copper cube 10cm on an edge when subjected to a hydraulic pressure of 7*10 ^6 pascal .
A) Obtain the relationship between coefficient of linear expansion () and coefficient of superficial expansion () for a rectangular slab of length l and breadth b . B) consider the sun to be perfect sphere of radius 6.8 * 10 8 m , calculate the energy radiated by the sun in one minute surface temp of the sun 6200K and Stefan’s constant is 5.67 * 10 4 wm-2K-4 . Or Define coefficient of thermal conductivity .Two metal cubes A and B of same size are arranged as shown in figure . The extreme ends of the combination are maintained at the indicated temp . The arrangement is thermally insulated . The coefficient of thermal conductivity of A and B are 300WM-1°c-1 and 200 Wm-1°c-1 respectively . After steady state is reached what will be the temp of the in terface ?
A) what are beats ? B) prove that the beat frequency is equal to the difference between the frequencies of two superposing waves .
(i) What is the ratio of moment of inertia of a ring to a disc ? Given that both have masses in the ratio 2:1 and radii in the ratio 1:2 respectively ? a) 1:1 b) 2:1 c) 1:2 d) 1:4 (ii) A circular disc is rotating about a central axis perpendicular to its diameter with a speed of 5rad/s . if a constant force of 2N is applied tangentially on it , how much time will it come to a stop ?(radius of disc = 1m and mass =1kg ) A: 0.257 s B: 5 s C: 1.25s D: 2.5s (iii)A dancer on ice spins faster when she folds her arms , this is due to (a) increase in energy and increase in angular momentum (b) Decrease in friction at the skates (c) constant angular momentum and increase in kinetic energy d) increase in energy and decreases in angular momentum (iv) the radius of gyration is the distance to be concentrated a) all mass is assumed to be concentrated B) velocity is maximum C) torque is min D) Acceleration is zero
A) Define SHM. Show the plot of variation of acceleration-time graph of SHM?B) What is phase difference between the displacement and acceleration of a particle executing SHM?C) Thee frequency of oscillations of mass m suspended by a spring is f1 ,if the length of the spring is cut to one-half , the same mass oscillates with frequency f2. Determine the value of f2/f1 ?
(i)(a) state conservation of linear momentum and derive it from Newton’s third law of motion (b) A body of mass 1kg initially at rest explodes into three fragemnts . The ratio of their masses is 1:1:3 . The Fragments of same mass move perpendicular to each other with speed 30m/s each , what is the velocity of heavier part ? OR(ii) a) with the help of suitable diagram obtain an expression for the maximum speed with which a vehicle can safely negotiate a curved road banked at an angle φ. The coefficient of friction between the wheel and road μ . b) A lift is going upwards with an acceleration of 4.9 m/s2 , what will be apparent weight of a 60kg person sitting in the lift ? what when the lift acquires a uniform a uniform velocity of 4.9m/s ?
(i) (A) Give one example of elastic collision and state the conservation law which does not hold good for inelastic collision but holds good for elastic collision . (B) write the expression for coefficient of restituition for one-dimensional elastic collision . Hence find velocities of two bodies of equal mass moving with initial speed u1 and u2 , in opposite direction along the same line after elastic collision. (C) two small ball bearings A and B of equal mass undergo elastic collision in two dimensions, if u1 is the velocity of A and B is at rest , then show that the particle move at right angles after collision . (ii) (A) write two characteristics of conservative force B) show that gravitational force is conservative with suitable derivations. C) A body of mass m is accelerated uniformly from rest to speed v in a time t , calculate the instantaneous power delivered to the body as function of time .
(i) (A) Derive an expression for the rise in liquid in a capillary tube of radius “r” .

(B) eight raindrops of radius 1mm each falling down with terminal velocity of 5cm/s coalesce to form bigger drop . find the terminal velocity of the bigger drop .

c) Draw a graph to show the variation of terminal velocity with time .

(ii) (A) write the expression for Bernouli’s equation per unit volume for an ideal fluid flow .

(B ) The reading of pressure meter attached with a closed pipe is 3.5 * 10 5 N/m2 . on opening the valve of the pipe the reading of the pressure meter is reduced to 3*10 % N/m2 . calculate the speed of the water flowing in the pipe .