JEE Main 2019 (Online) 11th January Morning Slot | Units & Measurements Question 140 | Physics

The force of interaction between two atoms is given by F = $$\alpha $$$$\beta $$exp $$\left( { - {{{x^2}} \over {\alpha kt}}} \right)$$; where x is the distance, k is the Boltzmann constant and T is temperature and $$\alpha $$ and $$\beta $$ are two constants. The dimension of $$\beta $$ is :

M²L²T^$$-$$2

M²LT^$$-$$4

MLT^$$-$$4

M⁰L²LT^$$-$$4

JEE Main 2019 (Online) 10th January Evening Slot

MCQ (Single Correct Answer)

-1

The diameter and height of a cylinder are measured by a meter scale to be 12.6 $$ \pm $$ 0.1 cm and 34.2 $$ \pm $$ 0.1 cm, respectively. What will be the value of its volume in appropriate significant figures ?

4264.4 $$ \pm $$ 81.0 cm³

4264 $$ \pm $$ 81 cm³

4300 $$ \pm $$ 80 cm³

4260 $$ \pm $$ 80 cm³

JEE Main 2019 (Online) 10th January Morning Slot

MCQ (Single Correct Answer)

-1

The density of a material in SI units is 128 kg m^–3 . In certain units in which the unit of length is 25 cm and the unit of mass is 50 g, the numerical value of density of the material is -

640

410

JEE Main 2019 (Online) 9th January Evening Slot

MCQ (Single Correct Answer)

-1

Expression for time in terms of G(universal gravitional constant), h (Planck constant) and c (speed of light) is proportional to :

$$\sqrt {{{h{c^5}} \over G}} $$

$$\sqrt {{{{c^3}} \over {Gh}}} $$

$$\sqrt {{{Gh} \over {{c^5}}}} $$

$$\sqrt {{{Gh} \over {{c^3}}}} $$

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