The half life of a π - meson at rest is 1 . 8 × 10 - 8 seconds . What will be its half life when it will travel with the speed of c / 2 ?

Applying time dilation concept, Let T 1 2 be half life when it travels with speed v = c 2 . T 1 2 = t 1 2 1 - v 2 c 2 ⇒ T 1 2 = 1 . 8 × 10 - 8 1 - c 2 2 c 2 ⇒ T 1 2 = 1 . 8 × 10 - 8 1 - 1 4 ⇒ T 1 2 = 2 . 8 × 10 - 8 seconds

The half life of a π - meson at rest is 1 . 8 × 10 - 8 seconds . What will be its half life when it will travel with the speed of c / 2 ?

Applying time dilation concept, Let T 1 2 be half life when it travels with speed v = c 2 . T 1 2 = t 1 2 1 - v 2 c 2 ⇒ T 1 2 = 1 . 8 × 10 - 8 1 - c 2 2 c 2 ⇒ T 1 2 = 1 . 8 × 10 - 8 1 - 1 4 ⇒ T 1 2 = 2 . 8 × 10 - 8 seconds

E M B I B E

Bureau's Higher Secondary Physics Class 12>Chapter 15 - Relativity>MODEL QUESTIONS>Q 4

EASY

12th Odisha Board

IMPORTANT

Earn 100

The half life of a $π - meson$ at rest is $1.8 \times 10^{- 8} seconds .$ What will be its half life when it will travel with the speed of $c / 2$ ?

Important Questions on Relativity

MEDIUM

12th Odisha Board

IMPORTANT

Bureau's Higher Secondary Physics Class 12>Chapter 15 - Relativity>MODEL QUESTIONS>Q 5

How much energy will be released from annihilation of

1 k g

of matter?

MEDIUM

12th Odisha Board

IMPORTANT

Bureau's Higher Secondary Physics Class 12>Chapter 15 - Relativity>MODEL QUESTIONS>Q 6

A spaceship is launched from earth surface with a velocity of

0.3 c

. It fires a rocket with a velocity of

0.6 c

relative to spaceship away from the earth. What will be the velocity of rocket observe from Earth’s surface? In the above case, calculate the velocity as observed from the rocket surface.

MEDIUM

12th Odisha Board

IMPORTANT

Bureau's Higher Secondary Physics Class 12>Chapter 15 - Relativity>MODEL QUESTIONS>Q 7

A