SCHOLARSHIP TEST (CLASS – 11) (PCB)

DIRECTIONS : QUESTION 1 TO 4 :

 A uniform disc of mass 10 kg and radius 1m was kept on a floor as shown with initial angular speed of 4√π rad/sec.The coefficient of static frictions between walls and the disc are 1/3. Take g=10m/s²

   μ1=  μ2 = 1/3 ; m=10kg, r=1m ; ω₀ =40√π rad/sec

QUESTION : The value of normal reaction N1 exerted by wall(1)on the disc?

The value of normal reaction N2 exerted by floor(2) on the disc?

Angular acceleration of the disc in rad/sec² ?

Number of revolution made by the disc before it stops rotation?

A particle is performing a circular motion in horizontal circle of radius 10m. Its tangential velocity varies with time according to the formula v_t = 10t where t is in secs. The acceleration of the particle (m/s2) at t=1 sec is

A ball rolls off a table and hits the floor at 10m/s. What is the height of the table. Take g=10 m/s²

Two balls projected horizontally from buildings opposite to each other with velocities 20 m/s and 50 m/s. After what time(in secs) their velocities will be perpendicular to each other?

The ratio of moment of inertia of a spherical shell of mass M and a solid sphere of mass 2M ? Assume both the bodies have same radius R.

A spring of force constant k is cut into two pieces such that one piece is double the length of the other. Then the long piece will have a force constant of ?

In a simple pendulum experiment to find gravitational acceleration the value of ‘g’ comes out to be 9.780 m/s² with number of significant digits n. 

The dimensional formula of Impulse is written as [ M^xL^y T^z ]. The value of  n-(x+y+z) is

The speed of a particle ‘v’ varies with time with a rule v=5t. The correct representation of distance ‘s’ with time ‘t’ is ?

Distance-time graph of a particle is shown in the figure :

QUESTION : What will be the velocity of the particle at t=20 secs is(m/s) ?

The angle (in degrees) between vectors ( i+j ) and   (i+√3j) is :

A block of  mass 10 kg is being held by a horizontal  force of 50N as shown. The minimum value of coefficient of friction between the vertical wall and the block is

m=2 kg ; g=10m/s²; N=50N.

A uniform circular disc of mass m is shown. The moment of inertia of the disc about an 

axis along the plane of the disc (see figure) is nmr²  where r is the radius of the disc.

The value of n is

The number of moles present in 24 gms of carbon is:

The total number of ions present in 50 g of CaCl₂ is

Which of the following weighs the most?

The element with atomic number 35 belongs to

In the long form of the periodic table, the valence shell electronic configuration of 5s²5p⁴ corresponds to the element present in:

The reduction in atomic size with increase in atomic number is a characteristic of elements of :

The vapour pressure of water at 300 K in a closed container is 0.4 atm. If the volume of container is doubled, its vapour pressure at 300 K will be

A gas deviates from ideal behaviour at a high pressure because its molecules:

In van der Waals equation of state of gas laws, the constant b is a measure of

The correct order of first ionization potential among following elements, Be, B, C, N and O is

Which of the following oxides is amphoteric in character?

The theory which explains that gases consist of molecules, which are in rapid option is known as:

The rise or fall of a liquid within a tube of small bore is called:

A weak acid HX has the dissociation constant 1 × 10^-5 M. It forms a salt NaX on reaction with alkali. The degree of hydrolysis of 0.1 M solution of NaX is

The law, which states that at constant temperature, the volume of a given mass of gas is inversely proportional is pressure, is known as:

The number of species that are known and described ranges between _____. Fill in the blanks with the correct option from the following.

Growth is synonymous with reproduction for which of the following organisms?

Reproduction cannot be an all inclusive defining characteristic feature of living organisms because

Select the incorrect statement from the following:

1) NBRI (National Botanical Research Institute) is situated at Lucknow

2) Plant families like convolvulaceae and solanaceae are included in other polynomials mainly based on floral characters

3) All living organisms – present, past and future are linked to one another by sharing of common genetic material but to varying degrees

4) Order solanum, datura and petunia are placed in the family solanaceae

Match Column 1 (Function) with Column 2 ( Types of enzymes) and select the correct option:

Earthworms have no skeleton but during burrowing, the anterior end becomes turgid and acts as a hydraulic skeleton. It is due to_________.

Which one of the following pairs of structure distinguishes a nerve cell from other types of cell?

Which of the following features is used to identify male cockroach from a female cockroach ?

Which one of the following correctly describes the location of same body parts in the earthworm Pheretima?

Note the following :

(A)  It’s forms the lining of the cavities of alveoli of the lungs

(B) It forms the lining of wet surfaces like buccal cavity and oesophagus

(C) lt occurs in the ducts of sweat glands

(D) It forms the lining of salivary glands and sweat glands

(E) lt is a loose connective tissue

which of the above are associated with simple epithelial tissue?

Keeping in view the fluid mosaic model for the structure of cell membrane, which one of the following statements is correct with respect to the movement of lipids and proteins from one lipid monolayer to the other (described as flip-flop movement)?

Match the columns.

An Organelle that Mainly Serves as a Packaging Area for Molecules that are Distributed Across the Cell and are Called ____?

Reproduction cannot be an all inclusive defining characteristic feature of living organisms because

Select the option which is not correct with respect to enzyme action:

Directions (Q. 16-19) : Indian Premiere League (IPL) is an Indian Cricket league competition played between 8 Teams : KKR, RCB, SRH, KXIP, CSK, DD, RR, MI. In the first league, every team plays single match with every other team. Rules of the game are as follows : Winning team gets 2 Points, losing team gets 0 Points and If the game gets affected by rain or tied, each team gets 1 point.

Based on the following information, answer the below questions

1. No match Gets tied.
2. CSK has defeated RR, SRH & DD
3. DD has won only 1 match and that is against KKR
4. Two matches were affected by rain and in both matches one of the team was SRH
5. Only KXIP & RCB have same odd points in the point table 
6. SRH & RR are adjacent in the point table and RCB & MI have equal no of wins.
7. MI was defeated by top 3 teams in the points table.
8. KXIP & MI both lost to KKR, but between them MI won the battle
9. SRH only lost to the No 1 team and RCB is the only team who defeated No 1 team.

Question : How many points does MI score in the first league of championship?

How much points RR score in the first league of championship?

How many matches KKR won?

What is the aggregate  sum of points earned by all the teams?

Choose the pair of words which best expresses the relationship similar to that expressed in
the capitalized pair.

“CAR : ROAD”

Choose the pair which does not exhibit the relationship similar to that expressed in the capitalized pair.

“RENT : LEASE”

Each of these questions contains six statements followed by four sets of combinations of three. Choose the set in which the statements are most logically related.

A. Some of my closest friends disapprove of me.
B. Some of my closest friends are aardvarks.
C. All of my closest friends disapprove of me.
D. All who disapprove of me are aardvarks.
E. Some who disapprove of me are aardvarks.
F. Some of my closest friends are no aardvarks.

Choose the pair of words which best expresses the relationship similar to that expressed in the capitalized pair.

“FORESIGHT : FARSIGHTEDNESS”

Choose the pair which does not exhibit the relationship similar to that expressed in the capitalized pair.

“TEMPERATURE : HEAT”

Each of these questions contains six statements followed by four sets of combinations of three. Choose the set in which the statements are most logically related.

A. All those who achieve great ends are happy.
B. All young people are happy.
C. All young people achieve great ends.
D. No young people achieve great ends.
E. No young people are happy,
F. Some young people are happy.

Which is the capital of the Union Territory of Dadra and Nagar Haveli?

The place in India receiving the lowest rainfall is?

Where is the National Stock Exchange?

Who was the first woman president of Indian national congress?

Goa was captured by Portuguese in