Class- XI

Sample paper - 3

 

General Instructions:

1. All questions are compulsory. There are 37 questions in all.
2. This question paper has 4 sections: Section-A, Section-B, Section-C & Section-D.
3. Section A contains 20 questions of one mark.
4. Section-B contain 7 questions of 2 marks.
5. Section-C contains 7 questions of 3 marks
6. Section- D contains 3 questions of 5 marks each.
7. There is no overall choice. However internal choices are provided. You have to attempt only one of the choices in such questions.
8. Use of calculators is not permitted. However, you may use log tables if necessary.

 

SECTION - A

 

Question 1:

Define unified atomic mass unit.

 

Question 2:

Give relation between frequency and angular frequency of a wave.

 

Question 3:

What is the difference between isochoric and isobaric processes?

               

Question 4:

What does the Newton’s law of cooling say?

 

Question 5:

What is the escape speed of an object from the surface of the earth?

 

Question 6:

Give Ideal gas equation.

 

Question 7:

What do you understand by impulse?

 

Question 8:

What is the pressure on a swimmer 8 m below the surface of a lake?

 

Question 9:

Describe Hooke’s law.

                          OR

What do you understand by a null vector?

 

Question 10:

Define uniform motion.

 

Question 11:

Give dimensions for time period and frequency.

 

Question 12:

When will you say that a body is in mechanical equilibrium?

                                                              OR

Give the temperature relation in between two scales i.e., Fahrenheit and Celsius scales.

 

Question 13:

Define internal energy of the system.

 

Question 14:

Each side of a cube is measured to be 6.534m. What are the total surface area and the volume of the cube to appropriate significant figures?

 

Question 15:

How can you calculate beat frequency?

 

Question 16:

Give unit and symbol for kinetic energy and potential energy both.

 

Question 17:

A trolley of mass 500 kg carrying a sandbag of 50 kg is moving uniformly with a speed of 30km/h on a frictionless track. After a while, sand starts leaking out of a hole on the floor of the trolley at the rate of 0.04 kg/s. What is the speed of the trolley after the entire sandbag is empty?

 

Question 18:

State Work-Energy theorem.

 

Question 19:

Give the formula for speed of a progressive wave.

 

Question 20:

How many metres in 2 light years?

 

SECTION - B

Question 21:

What is the acceleration due to gravity above the surface of the earth?

 

Question 22:

A flask contains argon and chlorine in the ratio of 3:2 by mass. The temperature of the mixture is 25 °C. Obtain the ratio of (i) average kinetic energy per molecule, and (ii) root mean square speed v_rms of the molecules of the two gases. Atomic mass of argon = 39.9 u; Molecular mass of chlorine = 70.9 u.

 

Question 23:

State Newton’s laws of motion.

 

Question 24:

Ankita having mass 45 kg wearing high heel shoes balances on a single heel. The heel is circular with a diameter 0.5 cm. What is the pressure exerted by the heel on the horizontal floor?

OR

A U-shaped wire is dipped in a soap solution, and removed. The thin soap film formed between the wire and the light slider supports a weight of 2.0 × 10^–2 N (which includes the small weight of the slider). The length of the slider is 25 cm. What is the surface tension of the film?

Question 25:

Compute the fractional change in volume of a glass slab, when subjected to a hydraulic pressure of 5 atm.

 

Question 26:

The position of a particle is given by:

r = 5.0ti  + 2.0t^2j  + 6.0k

where t is in seconds and the coefficients have the proper units for r to be in metres.

    (a) Find v(t) and a(t) of the particle.

    (b) Find the magnitude and direction of v(t) at t = 1.0s.

 

Question 27:

What do you understand by the terms “average velocity” and “average speed”?

OR

The position of an object moving along x-axis is given by: x=b+ct²; where a=9.0m., b=4.5ms^-2and t is measured in seconds. What is its velocity at t=0s and t=3.0s? What is the average velocity between t=3.0s and t=6.0s?

 

SECTION - C

Question 28:

A cyclist comes to a skidding stop in 12 m. During this process, the force on the cycle due to the road is 300N and is directly opposed to the motion.

   (a) How much work does the road do on the cycle?

   (b) How much work does the cycle do on the road?

 

Question 29:

Explain Doppler effect.

 

Question 30:

What is the parallax method? Explain.

 

Question 31:

What is zeroth law of thermodynamics?

 

Question 32:

What is linear expansion? Give expression for coefficient of linear expansion.

 

Question 33:

How do you define ‘radius of gyration’?

 

Question 34:

A spring balance has a scale that reads from 0 to 100 kg. The length of the scale is 50 cm. A body suspended from this balance, when displaced and released, oscillates with a period of 0.5 s. What is the weight of the body?

SECTION - D

Question 35:

State Kepler’s law of planetary motion.

OR

A nitrogen container of volume 45 litres has an initial gauge pressure of 20 atm and a temperature of 30 °C. After some nitrogen is withdrawn from the container, the gauge pressure drops to 15 atm and its temperature drops to 15 °C. Estimate the mass of nitrogen taken out of the container (R = 8.31 J mol^–1 K^–1, molecular mass of N₂ = 28 u).

 

Question 36:

A batsman deflects a ball by an angle of 30⁰ without changing its initial speed which is equal to 72 km/h. What is the impulse imparted to the ball? (Mass of the ball 0.20 kg).

 

Question 37:

(a) What is the largest average velocity of blood flow in an artery of radius 1.5×10^–3 m if the flow must remain laminar?

(b) What is the corresponding flow rate? (Take viscosity of blood to be 2.084 × 10^–3 Pa-s).

OR

Formulize Hooke’s law according to the three types of stresses.

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