SELAQUI INTERNATIONAL SCHOO, DEHRADUN
Assignment Questions - 1
Holiday Home work
CLASS – XI
SUBJECT: PHYSICS
Q.1:
The volume of an object as a function of time is calculated by v  At 3 
B
where t is time in seconds
t
and v is in cubic metres. Determine the dimensions of constants A and B.
Q.2:
You are given a thread and a meter scale. How will you estimate the diameter of the thread?
Q.3:
How many cm are there in 100 nm?
Q.4:
Differentiate the following terms:
d
 ( x2  1)( x3  2 x)   ?
dx
(1)
d 1
 ?
dx 2 x
(4)
d  5 8 6 5 15 4

3
 x  x  x x  2 = ?
dx  2
5
2

Q.5:
(i)
(3)
d  x2  1 

 ?
dx  x3  2 x 
(5)
d
ln(2 x 3  3)
dx
Integrate the following terms:
 (3x
Q.6:
(2)
2
x
5
)dx
x3
(ii)

dx
(iii) ∫
4 x
( 5 x + 4x2 ) dx
2 6
8
(iv)   2  3  dx
1
x 
x
A physical quantity P is related to four observables a,b , c and d as follow. P=
√
. Give expression of
relative error and compute percentage error in the quantity P. Given percentage errors in a, b, c and d are 1%,
2% , 1% and 4% respectively.
Q.7:
What is the ratio of A.B to A X B when angle between A and B is 30 0 ?
Q.8:
a) Write dimensional formula of
i) Gravitational Force
ii) Electric Potential
b) Check whether the given equation is dimensionally correct.
T=
√
Q. 9: a) Give condition for two vectors to be equal.
b) Give the condition for resultant of two vector to be maximum.
c) Two forces whose magnitudes are in ratio of 3 : 5, give a resultant of 35 N. If the angle of inclination
be 600 . Calculate magnitude of each force.
Q.10: Find unit vector of 3 ̂ + 5 ̂ + 4 ̂
Q.11: What do you mean by significant figure. Write the significant number in given value.
a) 2654.8900
b) 3562000
Q.12: Prove that :- log 1728 = 6 log 2 + 3 log 3
Q.13: Define dot product of two vectors. Prove that ̂
̂=0.
Q.14: A force ⃗
̂
̂ acts on a particle and displaces it through ⃗
̂
̂. Calculate the work
̂
done if the force is in newton and distance is in metre.
Q.15: State triangle law of vector addition and discuss the Resultant magnitude and Resultant angle for
different Value of θ between two vectors where θ = 0 0 , 900 , 1800
̂ and ⃗
̂
Q.16: Let
̂
̂, find the magnitude of (a)
(b) ⃗
(c) + ⃗
(d) ⃗⃗⃗
⃗
Q.17: Find the magnitude and direction of the vector sum of the following three vectors:
̂
̂, 9 ̂
̂,
̂
̂
̂
Q.18: Write the unit vector in the direction of
̂
Q.19: If
̂
̂ and ⃗
̂
̂
̂.
̂ Find the angle between ⃗⃗⃗
⃗⃗⃗ .
Q.20: If the magnitudes of two vector are 3 and 4; the magnitude of their scalar products is 6, then find tha
angle between the two vectors.
̂ and ⃗
̂
Q.21:
̂
̂ ; determine (i) magnitude of , (ii) value of
⃗
Q.22: Using the method of dimensions, derive an expression for the centripetal force F acting on a particle of
mass m moving with velocity v in a circle of radius r?
Q.23: In Vander Waal’s Equation:
(
)
(
)
where P pressure, V  Volume, what are the dimesions of a and b?
Q.24: Assuming that the frequency ( ) of a vibrating string depands upon the load (F) applied, length of the
string ( ) and mass per unit length (m) Prove that
√ ?
Q.25: The magnitude of the resultant of two vectors ⃗ and ⃗ is given by R2 = P2 + Q2 . What is the angle
between ⃗ and ⃗ ?
Q.26: Find the resultant of two forces, one 6N due east and other 8 N due north?