JEE Advanced 2015 Paper 1 Offline | Units & Measurements Question 21 | Physics

JEE Advanced 2015 Paper 1 Offline

MCQ (More than One Correct Answer)

-2

Planck's constant h, speed of light c and gravitational constant G are used to form a unit of length L and a unit of mass M. Then the correct option(s) is(are)

$$M \propto \sqrt c $$

$$M \propto \sqrt G $$

$$L \propto \sqrt h $$

$$L \propto \sqrt G $$

IIT-JEE 2010 Paper 1 Offline

MCQ (More than One Correct Answer)

-1

A student uses a simple pendulum of exactly 1m length to determine g, the acceleration due to gravity. He uses a stop watch with the least count of 1 sec for this and records 40 seconds for 20 oscillations. For this observation, which of the following statement(s) is (are) true?

Error ΔT in measuring T, the time period, is 0.05 seconds

Error ΔT in measuring T, the time period, is 1 second

Percentage error in the determination of g is 5%

Percentage error in the determination of g is 2.5%

IIT-JEE 1998

MCQ (More than One Correct Answer)

-0.5

The SI unit of inductance, the henry can be written as

weber/ampere

volt-sec/amp

Joule/(ampere)²

ohm-second

IIT-JEE 1998

MCQ (More than One Correct Answer)

-0.5

Let [$${\mathrm\varepsilon}_\mathrm o$$] denote the dimentional formula of the permittivity of the vacuum, and [$$\mu_o$$] that of the permeability of the vacuum.If M = mass, L = length, T = time and I = electric current,

$$\left[{\mathrm\varepsilon}_\mathrm o\right]\;=\;\mathrm M^{-1}\mathrm L^{-3}\mathrm T^2\;\mathrm I$$

$$\left[{\mathrm\varepsilon}_\mathrm o\right]\;=\;\mathrm M^{-1}\mathrm L^{-3}\mathrm T^4\mathrm I^2$$

$$\left[{\mathrm\mu}_\mathrm o\right]\;=\;\mathrm{MLT}^{-2}\mathrm I^{-2}$$

$$\left[{\mathrm\mu}_\mathrm o\right]\;=\;\mathrm{ML}^2\mathrm T^{-1}\;\mathrm I$$

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