Home
Class 11
PHYSICS
Statement I: The measurements of mass an...

Statement I: The measurements of mass and length of a side of a cube involve errors of 3% and 2% respectively. The error in the densisty of its material computed from this data would be 9%.
Statement II: If u `=(x^(a)y^(b))/(z^(c))` the fractional error in the computation of u is `(Deltau)/(u)=a(Deltax)/(x)+b(Deltay)/(y)+c(Deltaz)/(z).`

A

Statement I is true statement II is true, statement II is a correct explanation for statement I.

B

Statement I is true statement II is true, statement II is not a correct explanation for statement I.

C

Statement I is true , statement II is false.

D

Statement I is false, statement II is true.

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MEASUREMENT AND DIMENSION OF PHYSICAL QUANTITY

    CHHAYA PUBLICATION|Exercise Multiple correct answers type|5 Videos
  • MEASUREMENT AND DIMENSION OF PHYSICAL QUANTITY

    CHHAYA PUBLICATION|Exercise Comprehension type|8 Videos
  • MEASUREMENT AND DIMENSION OF PHYSICAL QUANTITY

    CHHAYA PUBLICATION|Exercise Problem Set -I (Miscellaneous )|4 Videos
  • KINETIC THEORY OF GASES

    CHHAYA PUBLICATION|Exercise CBSE Scanner|9 Videos
  • NATURE OF VIBRATION

    CHHAYA PUBLICATION|Exercise EXERCISE (CBSE SCANNER)|2 Videos

Similar Questions

Explore conceptually related problems

The density of the material of a cube can be estimated by measuring its mass and the length of one of its sides. If the maximum error in the measurement of mass and length are 0.3% and 0.2% respectively, the maximum error in the estimation of the density of the cube is approximately

The measured values of mass radius and length of a wire are respectively , (0.3 +- 0.003 ) g , ( 0.5 +- 0.005) mm and (6 +- 0.06 ) cm. The maximum percentage error in the computed value of the density of the material of the wire would be

If there is an error of k % in measuring the edge of a cube, then the percent error in estimating its volume is (a) k (b) 3k (c) k/3 (d) none of these

In a triangle DeltaXYZ, let a, b, and c be the length of the sides opposites to the angles X,Y and Z, respectively.If 1+cos2X-2cos2Y=2sinXsinY , then possible value(s) of a/b is (are)

Each question in this section has four choices A,B,C,and D out of which only one is correct. Mark your choices as follows. Statement-I: The error made in calculating the area of the triangle ABC where the sides a and b are measured accurately as 25cm and 16 cm respectively. while the angle C is measured as 60^(@) with an error of ((1)/(2))^(@) . Estimated error of the area of the triangle is (55)/(63) cm ^(2) . Statement-II : Area of triangle ABC = (1)/(2) ab sin C.

The density of a material in the shape of a cube is determined by measuring three sides of the cube and its mass. If the relative errors in measuring the mass and length are respectively 1.5% and 1% , the maximum error in determining the denstiy is

Let x,y,z in R^(+) and 2xy+3yz+4xz=18 . If alpha , beta and gamma be the values of x , y and z respectively, for which xyz attains its maximum value, then the value of 2alpha+beta+gamma= (a) 4 (b) 6 (c) 8 (d) 12