List of practice Questions

Derive an expression for the radius of the \( n \)-th Bohr orbit of the electron in hydrogen atom.
What is the mathematical formula for third postulate of Bohr's atomic model?
Two inductor coils with inductance 10 mH and 20 mH are connected in series. What is the resultant inductance of the combination of the two coils?
Calculate the moment of inertia of a uniform disc of mass 10 kg and radius 60 cm about an axis perpendicular to its length and passing through its centre.
State the formula for critical velocity in terms of Reynold's number for a flow of a fluid.
Is it always necessary to use red light to get photoelectric emission?
Write the Boolean expression for Exclusive-OR (XOR) gate.
Write the differential equation for angular S.H.M.
In Young's double slit experiment the two coherent sources have different amplitudes. If the ratio of maximum intensity to minimum intensity is 16 : 1, then the ratio of amplitudes of the two sources will be ______.
The equation of a simple harmonic progressive wave travelling on a string is \( y = 8 \sin (0.02 x - 4 t) \) cm. The speed of the wave is ______.
Define potential gradient of the potentiometer wire.
The unit Wbm\(^2\) is equal to ______.
When the bob performs a vertical circular motion and the string rotates in a vertical plane, the difference in the tension in the string at horizontal position and uppermost position is ______.
A liquid rises in glass capillary tube up to a height of 2.5 cm at room temperature. If another glass capillary tube having radius half that of the earlier tube is immersed in the same liquid, the rise of liquid in it will be ______.
The angle at which maximum torque is exerted by the external uniform electric field on the electric dipole is ______.
The property of light which does not change, when it travels from one medium to another is ______.
The root mean square speed of the molecules of a gas is proportional to ______. [T = Absolute temperature of gas]
The first law of thermodynamics is concerned with the conservation of ______.
The average value of alternating current over a full cycle is always ______.

Match List-I with List-II.

 List - I List - II
  A.    Moment of inertia of solid sphere of Radius R about any tangent           i.\(\frac{5}{3}MR^2\)  
B.Moment of inertia of hollow sphere of radius (R) about any tangentii.\(\frac{7}{5}MR^2\)
C.Moment of inertia of circular ring of radius (R) about its diameteriii.\(\frac{1}{4}MR^2\)
D.Moment of inertia of circular disc of radius (R) about any diameteriv.\(\frac{1}{2}MR^2\)

Choose the correct answer from the options given below.

 

 

 

 



 

Answer the following:
(i) How does the mystery of Bartholomew's murder lead Holmes to track down Small?
(ii) Describe how Mr. Sherlock Holmes tracks down Small?
Answer the following:
(i) Describe the relationship between Mr. Fogg and Aouda.
(ii) Describe how Sherlock Holmes discovered the connection between Miss Morstan receiving precious pearls with Major Sholto.
Answer the following:
(i) Describe how Ricky Braithwaite manages to bring about a change in the behaviour of his students.
(ii) How does Mr. Braithwaite manage to increase the cultural exposure of the class?

Complete the activities given below as per the instructions: 
(i) Match the following items from column-A with those from the column-B: 
\[\begin{array}{|l|l|} \hline \textbf{Column 'A'} & \textbf{Column 'B'} \\ \hline \text{(a) Murasaki Shikibu} & \text{(i) The Pilgrim's Progress} \\ \hline \text{(b) Jonathan Swift} & \text{(ii) Gulliver's Travels} \\ \hline \text{(c) John Bunyan} & \text{(iii) The Tale of Genji} \\ \hline \text{(d) Bankim Chandra Chattopadhyay} & \text{(iv) Rajmohan's Wife} \\ \hline \end{array}\]
(ii) Pick the odd word out: 
(a) Amit Ghosh, Vikram Seth, Henry Fielding, Anita Desai 
(b) plot, novella, setting, theme 
(c) place, time, climate, epistolary 
(d) horror, mystery, picaresque, thriller

Attempt 'Any One' of the following activities: 
(1) Speech Writing:
You wish to take part in the elocution competition which is organised by your college cultural committee. Prepare a speech on the topic "Mask for safety". 
\(\hspace{3cm}\)OR
(2) Compering: 
On the occasion of the inaugural function of 'Sports Day' you have been the responsibility to compere:
Draft a script of the same. Use the following points.
- Brief introduction
- Lighting the lamp/Inauguration
- Welcome the guests
- Chief guest's address
- Vote of thanks 
\(\hspace{3cm}\)OR
(3) Expansion of Idea: 
Expand the following idea by using the points -
'Time and tide wait for none'.
- Meaning of the proverb
- Importance of time
- Proper time management
- Add your own points