Std. XI  2023 : Physics
Test on Calculus, Logarithms & Measurements
Time : 60 Min.]
[Marks : 23
Note : 1) All questions are compulsory.
2) Use of logarithmic table is allowed.
3) Figures on right hand side indicate marks.
1. Select & write the most appropriate answer from the given alternatives for each sub-question. [4]
i)
What is the dimensional formula for Momentum from its definition
(A) MLT
(B) M1LT
(C) MLT1
ii)

(D) ML2T1
cos xdx =
(A) sin x
iii) If y = tan x then
(A) sec x
(B) sin x
(C) cosec x
(D) sec x
(B) sec2x
(C) cosec x
(D) cosec2x
(C) 27.252
(D) 2725.2
dy

dx
iv) What is antilog of 2.4354?
(A) 272.52
(B) 2.7252
2. Answer the following (3 out of 4)
i)
[6]
Nuclear radius R has a dependence on the mass number (A) as R =1.3 1016 A1/3 m. For a nucleus
of mass number A=125, obtain the order of magnitude of R, expressed in metre.
ii) What is meant by derived quantities and derived units? Give two examples.
dy
iii) If y = x5 + x4 + x , find
.
dx
5
iv) Find  x 2  dx
1
3. Answer the following (3 out of 4)
i)
[9]
What is meant by Significant figures. State the rules for determining significant figures.
ii) Explain with example the term ‘order of magnitude of a physical quantity’.
iii) An object was weighed by a physical balance and following readings were obtained 5.04 g, 5.06 g,
4.97 g, 5.00 g; 4.93 g.
Find (a) Mean value
(b) Absolute error (c) Percentage error.
Qsin 
iv) Find the value of  if tan  
where P = 4, Q = 5 and  = 60 .
P  Q cos 
4. Answer the following (Any one)
[4]
3
(25.45)  14.45
i) Find the value of
.
(3.362) 2
ii) The velocity V of sound in a gas depends upon its pressure and density . Show by dimensional
P
analysis that V 
.


XI/Test_SB/23/Phy/Test_Calculus, Log, Measurement