Suppose the kinetic energy of a body oscillating with amplitude $A$ and at a distance $x$ is given by $K = \frac{B x}{x^{2} + A^{2}}$ . The dimensions of $B$ are the same as that of :

\frac{w o r k}{t i m e}

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

w o r k \times d i s t a n c e

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

\frac{w o r k}{d i s t a n c e}

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

w o r k \times t i m e

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

Open in App

Solution

The correct option is C $w o r k \times d i s t a n c e$
In the given equation $K = \frac{B x}{x^{2} + A^{2}}$ dimension of $x$ and $A$ are same, so $[K] = [\frac{B x}{x^{2}}] = [\frac{B}{x}]$
$∴ B = K \times x = K . E . \times d i s t a n c e = w o r k \times d i s t a n c e$

Suggest Corrections

Similar questions

Q. Suppose the kinetic energy of a body oscillating with amplitude

A

and at a distance

x

is given by

K = \frac{B x}{x^{2} + A^{2}}

. The dimensions of

B

are the same as that of

Fill in the following blanks with suitable words :

(a) Work is measured as a product of ....................... and ..................

(b) The work done on a body moving in a circular path is .....................

(c) 1 joule is the work done when a force of one ............. moves an object through a distance of one.................. in the direction of .....................

(d) The ability of a body to do work is called .................... The ability of a body to do work because of its motion is called .................

(e) The sum of the potential and kinetic energies of a body is called ......... energy.

Q. Match the Column I with Column II.

	Column I		Column II
(A)	When a body does work against friction, its kinetic energy	(p)	independent of time
(B)	Work done by a body is	(q)	time
(C)	Power of a body varies inversely as	(r)	force must be conservative
(D)	When work done over a closed path is zero	(s)	decreases

Q. Consider two observers moving with respect to each other at a speed v along a straight line. They observe a bock of mass m moving a distance l on a rough surface. The following quantities will be same as observed by the two observers.
(a) kinetic energy of the block at time t
(b) work done by friction
(c) total work done on the block
(d) acceleration of the block.

Q. Consider two observers moving with respect to each other at a constant speed

v

along a straight line. They observe a block of mass

m

moving a distance

l

on a rough surface. Then which of the following quantities will be same as observed by the two observers:

Join BYJU'S Learning Program

Suppose the kinetic energy of a body oscillating with amplitude A and at a distance x is given by K=Bxx2+A2. The dimensions of B are the same as that of :

The correct option is C work×distanceIn the given equation K=Bxx2+A2 dimension of x and A are same, so [K]=[Bxx2]=[Bx]∴B=K×x=K.E.×distance=work×distance

Suppose the kinetic energy of a body oscillating with amplitude $A$ and at a distance $x$ is given by $K = \frac{B x}{x^{2} + A^{2}}$ . The dimensions of $B$ are the same as that of :

The correct option is C $w o r k \times d i s t a n c e$
In the given equation $K = \frac{B x}{x^{2} + A^{2}}$ dimension of $x$ and $A$ are same, so $[K] = [\frac{B x}{x^{2}}] = [\frac{B}{x}]$
$∴ B = K \times x = K . E . \times d i s t a n c e = w o r k \times d i s t a n c e$