If f = x², then the relative error in f is

\(\frac{2\Delta x }{x}\)
\(\frac{\left (\Delta x \right )^{2} }{x}\)
\(\frac{\Delta x}{x}\)
\(\left(\Delta x \right)^{2}\)

The dimensional formula for relative density is

[ML^-3]
[M⁰L^-3]
[M⁰L⁰T^-1]
[M⁰L⁰T⁰]

The solid angle sustended by the total surface area of a sphere, at the centre is

Random error can be eliminated by

careful observation
eliminating the cause
measuring the quantity with more than one instrument
taking large number of observations and then their mean

Which of the following is the most accurate?

200.0 m
20 × 10¹ m
2 × 10² m
data is inadequate

Two quantities A and B have different dimensions which mathematical operation given below is physically meaningful?

A + B
A/B
A – B
A = B

DIRECTIONS: Each question contains STATEMENT-1 and STATEMENT-2. Choose the correct answer(ONLY ONE option is correct ) from the following

Statement 1 :Energy cannot be divided by volume.

Statement 2 :Because dimensions for energy and volume are different

(a) Statement -1is false, Statement-2 is true
(b) Statement -1 is true, Statement-2 is true; Statement -2 is a correct explanation for Statement-1
(c) Statement -1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1
(d)Statement -1is true, Statement-2 is false

Solution

(a) Statement -1is false, Statement-2 is true

DIRECTIONS: Each question contains STATEMENT-1 and STATEMENT-2. Choose the correct answer(ONLY ONE option is correct ) from the following

Statement 1 :In the measurement ofphysical quantitiesdirect and indirect methods are used.

Statement 2 :The accuracy and precision of measuring instruments along with errors in measurements should betaken into account, while expressing the result.

(a) Statement -1is false, Statement-2 is true
(b) Statement -1 is true, Statement-2 is true; Statement -2 is a correct explanation for Statement-1
(c) Statement -1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1
(d) Statement -1is true, Statement-2 is false

Solution

(b) Statement -1 is true, Statement-2 is true; Statement -2 is a correct explanation for Statement-1

DIRECTIONS: Each question contains STATEMENT-1 and STATEMENT-2. Choose the correct answer(ONLY ONE option is correct ) from the following

Statement 1 : Absolute errormay be negative or positive.

Statement 2 : Absolute error is the difference between the real value and the measured value of aphysical quantity.

(a) Statement -1is false, Statement-2 is true
(b) Statement -1 is true, Statement-2 is true; Statement -2 is a correct explanation for Statement-1
(c) Statement -1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1
(d) Statement -1is true, Statement-2 is false

Solution

(b) Statement -1 is true, Statement-2 is true; Statement -2 is a correct explanation for Statement-1

DIRECTIONS: Each question contains STATEMENT-1 and STATEMENT-2. Choose the correct answer(ONLY ONE option is correct ) from the following

Statement 1 : The number of significant figures depends on the least count of measuring instrument.

Statement 2 : Significant figures define the accuracy of measuring instrument.

(a) Statement -1is false, Statement-2 is true
(b) Statement -1 is true, Statement-2 is true; Statement -2 is a correct explanation for Statement-1
(c) Statement -1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1
(d) Statement -1is true, Statement-2 is false

Solution

(c) Statement -1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1

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