Home
Class 11
PHYSICS
The value fo x in the formula Y = (2mg l...

The value fo `x` in the formula `Y = (2mg l^(x))/(5bt^(3)e)` where `m` is the mass, `'g'` is acceleration due to gravity, `l` is length , `'b'` is the breath, `'t'` is the thickness and `e` is the extension and `Y` is Young's Modulus is

A

`3`

B

`2`

C

`1`

D

`4`

Text Solution

Verified by Experts

The correct Answer is:
A
Dimensional formula f `Y = ML^(-1) T^(-2)`
Dimension fo `L,b,t,e = L`
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENTS

    NARAYNA|Exercise ILLUSTRATION|49 Videos

  • UNITS AND MEASUREMENTS

    NARAYNA|Exercise ILLUSTRATIONS|12 Videos

  • UNITS AND MEASUREMENTS

    NARAYNA|Exercise LEVEL-I (H.W)|39 Videos

  • TRANSMISSION OF HEAT

    NARAYNA|Exercise LEVEL-II(C.W)|27 Videos

  • VECTORS

    NARAYNA|Exercise LEVEL-II (H.W)|14 Videos

Similar Questions

Explore conceptually related problems

Check the dimensional correctness of the following equations : (i) T=Ksqrt((pr^3)/(S)) where p is the density, r is the radius and S is the surface tension and K is a dimensionless constant and T is the time period of oscillation. (ii) n=(1)/(2l)sqrt((T)/(m)) , when n is the frequency of vibration, l is the length of the string, T is the tension in the string and m is the mass per unit length. (iii) d=(mgl^3)/(4bd^(3)Y) , where d is the depression produced in the bar, m is the mass of the bar, g is the accelaration due to gravity, l is the length of the bar, b is its breadth and d is its depth and Y is the Young's modulus of the material of the bar.

Find the dimensions of K in the relation T = 2pi sqrt((KI^2g)/(mG)) where T is time period, I is length, m is mass, g is acceleration due to gravity and G is gravitational constant.

Find the value of p in the relation tau = (YL^(p))/(cos theta) where Y is the young's modulus, tau is torque and L is the length.

Find the value of x in the relation Y = (T^x . Cos theta. Tau)/(L^3), where Y is Young's modulu. T is time period, tau is torque and L is length.

P = (nx^(y)T)/(V_(0))e^(-(Mgh)/(nxT)) , where n is number of moles, P is represents acceleration due to gravity and h is height. Find dimension of x and value of y.

The time period of a simple pendulum is given by the formula, T = 2pi sqrt(l//g) , where T = time period, l = length of pendulum and g = acceleration due to gravity. If the length of the pendulum is decreased to 1/4 of its initial value, then what happens to its frequency of oscillations ?

If 'L' is length of simple pendulum and 'g' is acceleration due to gravity then the dimensional formula for (l/g)^(1/2) is same as that for

The time period of a simple pendulum is given by T = 2pi sqrt((l)/(g)) where 'l' is the length of the pendulum and 'g' is the acceleration due to gravity at that place. (a) Express 'g' in terms of T (b) What is the length of the seconds pendulum ? (Take g = 10 m s^(-2) )

The Young's modulus Y is determined by stretching a wire by using the formula , Y = (4FL)/(pi d^(2)l) where F is the streching force , L is length of wire , l is extension in length and d is its diameter . If F is of the order of 500 N and known to 1 part in 1000 L , is of the order of 3 m and measured with an accuracy of 1 mm , l is of the order of 5 mm measured to 0.1 mm and d is of the order of 1 mm measured correct upto 0.01 mm , estimate the percentage error in the measurement of Y .

NARAYNA-UNITS AND MEASUREMENTS-LEVEL-II (H.W)
  1. The error in the measurement fo length of a simple pendulum is 0.1% an...

    Text Solution

    |

  2. The length of a cyclinder is measured as 5 cm using a vernier calipe...

    Text Solution

    |

  3. The diameter of a wire as measured by a screw gauge was found to be 1....

    Text Solution

    |

  4. The number of particles is given by n = -D(n(2) - n(1))/( x(2) - x(1))...

    Text Solution

    |

  5. The external and internal diameter of a hollow cylinder are determine...

    Text Solution

    |

  6. The density of a cube is measured by measuring its mass and length of ...

    Text Solution

    |

  7. The diameter of a sphere is 3.34 m. Calculate its volume with due rega...

    Text Solution

    |

  8. The length , breath and thickness of a metal sheet are 4.234m, 1.005m,...

    Text Solution

    |

  9. The sides of a rectangle are (10.5 +- 0.2) cm and ( 5.2 +- 0.1 ) cm. C...

    Text Solution

    |

  10. If the ratio of fundamental units in two systems are 2:3 the ratio of...

    Text Solution

    |

  11. If L, R , C , and V, respectively , represent inductance , resistance ...

    Text Solution

    |

  12. Hydrostatic pressure 'P' varies with displacement 'x' as P = (A)/(B) ...

    Text Solution

    |

  13. The units of force, velocity and energy are 100 "dyne", 10 cm s^(-1) ...

    Text Solution

    |

  14. The ratio of SI unit to CGS unti of gravitational constant of

    Text Solution

    |

  15. The frequency f of vibrations of a mass m suspended from a spring of s...

    Text Solution

    |

  16. If the period 'T' of a drop under surface tension 's' is given by T =...

    Text Solution

    |

  17. If the velocity (V) , acceleration (A) , and force (F) are taken as fu...

    Text Solution

    |

  18. The time dependence of a physical quantity P is given by P = P(0)e^(-a...

    Text Solution

    |

  19. The value fo x in the formula Y = (2mg l^(x))/(5bt^(3)e) where m is th...

    Text Solution

    |

  20. The velocity of sound in air (V) pressure (P) and density of air (d)...

    Text Solution

    |