What is the dimension of k/m where k is the force constant and m is the mass of the oscillating object?

[T¹]

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

[T^-2]

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

[T²]

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

[T^-1]

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

Open in App

Solution

The correct option is B
[T^-2]

Suggest Corrections

Similar questions

Q. Find the period of the free oscillations of the arrangement shown below, if mass

M_{1}

is pulled down a little.
[Force constant of the spring is

k

and mass of the fixed pulley is negligible]

A uniform spring whose unstretched length is $l$ , has a force constant K. The spring is cut into two pieces of unstretched length $l_{1}$ and $l_{2}$ , where $\frac{l_{2}}{l_{1}} = n$ , n being an integer. Now a mass m is made to oscillate with first spring. The time period of its oscillation would be

M L T^{- 2} = k L^{a} {(L T^{- 1})}^{b} {(M L^{- 1} T^{- 1})}^{c}

where

k

is a dimensionless constant. Taking dimensions on both sides,

find value a, b and c

Q. The period of oscillation '

T

' of a loaded spring depends upon the mass of load '

M

' and force constant

K

of the spring. If the constant of proportionality is

2 π

, then the dimensional formula for '

T

' is:

A particle of mass m is driven by a machine that delivers a constant power of K watts. If the particle starts from rest the force on then particle at time t is :

Join BYJU'S Learning Program

What is the dimension of k/m where k is the force constant and m is the mass of the oscillating object?

The correct option is B [T-2]

The correct option is B
[T^-2]