Show by dimensional analysis that T = 2 π 0 g is correct.

Given equation T = 2 π l g , Take T = time period of system, l = length of pendulum and g = gravitational acceleration. For dimensional analysis, dimension of LHS is always equal to RHS. So dimension of time period T = T Dimension of l g = L L T - 2 = 1 T - 2 = 1 T - 1 = T .

A stone weighs 10 . 0 ± 0 . 1 kg in air and 5 . 0 ± 0 . 1 kg in water. Calculate the measurement of specific gravity.

Weighs of stone in air = 10 . 0 ± 0 . 1 K g Weighs of stone in water = 5 . 0 ± 0 . 1 K g Specific gravity ρ of stone is ratio of density of stone D A in air to density of stone D w in water. ∵ ρ = D A D w = 10 ± 0 . 1 5 ± 0 . 1 = 2 , So the specific gravity will be 2 .

The internal diameter of a cylinder is ( 3 . 89 ± 0 . 01 ) cm and its external diameter is ( 4 . 23 ± 0 . 01 ) cm . Calculate the thickness of the wall of the cylinder.

Given, The internal diameter d of a cylinder is ( 3 . 89 ± 0 . 01 ) cm and its external diameter D is ( 4 . 23 ± 0 . 01 ) cm . For the thickness t of the wall of the cylinder ∴ t = D - d = 4 . 23 ± 0 . 01 - 3 . 89 ± 0 . 01 ⇒ 4 . 23 - 3 . 89 = 0 . 34 c m So thickness of cylinder is 0 . 34 c m

E M B I B E

Bureau's Higher Secondary Physics Class 11>Chapter 1 - Physical World and Measurements>MODEL QUESTIONS>Q 6

EASY

11th Odisha Board

IMPORTANT

Earn 100

What is maximum permissible error in an experiment.

Important Questions on Physical World and Measurements

EASY

11th Odisha Board

IMPORTANT

Bureau's Higher Secondary Physics Class 11>Chapter 1 - Physical World and Measurements>MODEL QUESTIONS>Q 7

Mention various types of systematic errors.

EASY

11th Odisha Board

IMPORTANT

Bureau's Higher Secondary Physics Class 11>Chapter 1 - Physical World and Measurements>MODEL QUESTIONS>Q 8

Show by dimensional analysis that

T = 2 π \sqrt{\frac{0}{g}}

is correct.

EASY

11th Odisha Board

IMPORTANT

Bureau's Higher Secondary Physics Class 11>Chapter 1 - Physical World and Measurements>MODEL QUESTIONS>Q 9

A stone weighs $(10.0 \pm 0.1) kg$ in air and $(5.0 \pm 0.1) kg$ in water. Calculate the measurement of specific gravity.

MEDIUM

11th Odisha Board

IMPORTANT

Bureau's Higher Secondary Physics Class 11>Chapter 1 - Physical World and Measurements>MODEL QUESTIONS>Q 10

The internal diameter of a cylinder is $(3.89 \pm 0.01) cm$ and its external diameter is $(4.23 \pm 0.01) cm$ . Calculate the thickness of the wall of the cylinder.