CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Relative Velocity in 2D

A bomb explod...

Question

A bomb explodes at time $t = 0$ in a uniform, isotropic medium of density $ρ$ and releases energy E, generating a spherical blast wave. The radius R of this blast wave varies with time t as.

A

t

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

t^{2 / 5}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C

t^{1 / 4}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

t^{3 / 2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $t^{2 / 5}$
The blast energy E, radius R, density $ρ$ and time t are related by
$\frac{E t^{2}}{ρ R^{5}} = c o n s t a n t$
Hence, R is $\propto t^{\frac{2}{5}}$

Suggest Corrections

thumbs-up

0

Similar questions

Q. A harmonic wave propagates in a medium. Find the average energy density of the wave, if at any point, the energy density becomes equal to

W_{0}

t = t_{0} + T / 6

t_{0}

is the instant when amplitude is maximum at this location and

T

is the time period of oscillation.

Q. In figure shows the x coordinate of a particle as a function of time. Find the signs of v_x and a_x at t = t₁, t = t₂ and t = t₃.

Q. r and r ' denote angle inside an equilateral prism as usual, in degrees. Consider that during some time interval from

t = 0

t = t

, r ' varies with time

r^{'} = 10 + t^{2}

, During this time r will vary as

x - t^{2}

Q. The time period of a sound wave travelling in a medium is

T

. At a given instant

t = 0

, a particular region in a medium has minimum density. The density of this region will be minimum again at

Q. Consider the following data and choose the correct option.

1.

The time period of a simple pendulum, whose bob is a hollow metallic sphere is

T

2.

The time period of a simple pendulum is

T_{1},

when the bob is filled with sand,

3.

The time period of a simple pendulum is

T_{2},

when it is filled with mercury and

4.

The time period of a simple pendulum is

T_{3},

when it is half-filled with mercury as shown.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Relative Motion in 2D

PHYSICS

Watch in App

explore_more_icon

Explore more

Relative Velocity in 2D

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon