Home
Class 11
PHYSICS
A quantity X is given by (me^(4))/(8epsi...

A quantity X is given by `(me^(4))/(8epsilon_(0)^(2)ch^(3))` where m is the mass of electron, e is the charge of electron, `epsilon_(0)` is the permittivity of free space, c is the velocity of light and h is the Planck's constant. The dimensional formula for X is the same as that of

A

length

B

frequency

C

velocity

D

wave number

Text Solution

Verified by Experts

The correct Answer is:
D

`X= (me^(4))/(8 epsilon_(0)^(2)ch^(3))` = Rydberg.s constant and its unit is `m^(-1)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PHYSICAL WORLD AND MEASUREMENT

    MTG GUIDE|Exercise NEET CAFE TOPICWISE PRACTICE QUESTIONS (DIMENSIONAL ANALYSIS AND ITS APPLICATIONS)|38 Videos
  • PHYSICAL WORLD AND MEASUREMENT

    MTG GUIDE|Exercise CHECK YOUR NEET VITALS|25 Videos
  • PHYSICAL WORLD AND MEASUREMENT

    MTG GUIDE|Exercise NEET CAFE TOPICWISE PRACTICE QUESTIONS (SIGNIFICANT FIGURES)|18 Videos
  • OSCILLATIONS AND WAVES

    MTG GUIDE|Exercise AIPMT / NEET MCQs|43 Videos
  • PROPERTIES OF BULK MATTER

    MTG GUIDE|Exercise AIPMT/NEET (MCQs)|40 Videos

Similar Questions

Explore conceptually related problems

A quantity y is given by y=epsilon_0L(dV)/dt , where epsilon_0 is the permittivity of free space, L is length, dV is small potential difference and dt is small time interval. The dimensional formula for y is same as that of

A quantity X is given by epsilon_(0) L(DeltaV)/(Deltat) , where epsilon_(0) is the permittivity of free space L is a length DeltaV is a potnetial difference and Delta is a time internval. The dimensional forumla to X is the same as that of

Knowledge Check

  • A quantity X is given by epsilon_(0)u(DeltaV) where epsilon_(0) is the permittivity of free space, DeltaV is potential difference and u is speed. The dimensional formula for X is the same as that of

    A
    resistance
    B
    charge
    C
    voltage
    D
    current
  • A quantity X is given by epsilon_(0)L(DeltaV)/(Deltat) where epsilon_(0) is the permittivity of free space, L is a length, DeltaV is a potential difference and Deltat is a time interval. The dimensional formula for X is the same as that of

    A
    resistance
    B
    charge
    C
    voltage
    D
    current
  • The quantity X=(epsilon_(0)LV)/(t) : epsilon_(0) is the permittivity of free space, L is length, V is potential difference and t is time . The dimensions of X are same as that of

    A
    Resistance
    B
    Charge
    C
    Voltage
    D
    Current
  • Similar Questions

    Explore conceptually related problems

    The quantity X = (epsilon_(0)LV)/(t) where epsilon_(0) is the permittivity of free space, L is length, V is the potential difference and t is time. The dimensions of X are the same as that of

    Dimensional formula of (e^(4))/(epsilon_(0)^(2)m_(p)m_(e)^(2)c^(3)G) is (Where e= charge , m_(p) and m_(c ) are masses, epsilon_(0)= permittivity of free space, c= velocity of light and G= gravitational constant)

    Find the dimension of epsilon_(0)E^(2) , where epsilon_(0) is permittivity of free space and E is the electricity field

    A quantity X is given by in_(0) L(DeltaV)/(Delta t) , where in_(0) is the permittivity of free space, L is a length, DeltaV is a potential difference and Delta t is a time interval. The dimensional formula for X is the same as that of -

    A quantity X is given by epsilon_(p) L(delta V)/(delta t) , where epsilon_(p) is the permitivity of free space ,L is a length , delta V is a potential diffrence and deltat is a time interval . The dimensional formula for X is the seme as that of