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The radius R of a nucleus of mass number A can be estimated by the formula R = (1.3 × 10^–15)A ^1/3 m.

The radius R of a nucleus of mass number A can be estimated by the formula R = (1.3 × 10–15)A 1/3 m. It follows that the mass density... View Article

To raise the temperature of a certain mass of gas by 50°C at a constant pressure, 160 calories of heat is required.

To raise the temperature of a certain mass of gas by 50°C at a constant pressure, 160 calories of heat is required. When the same mass of gas... View Article

A metallic sphere cools from 50°C to 40°C in 300 s.

A metallic sphere cools from 50°C to 40°C in 300 s. If atmospheric temperature around is 20°C, then the sphere’s temperature... View Article

A block of mass 1.9 kg is at rest at the edge of a table, of height 1 m.

A block of mass 1.9 kg is at rest at the edge of a table, of height 1 m. A bullet of mass 0.1 kg collides with the block and sticks to it. If the... View Article

Two resistors 400 Ω and 800 Ω are connected in series across a 6 V battery.

Two resistors 400 Ω and 800 Ω are connected in series across a 6 V battery. The potential difference measured by a voltmeter of 10 k... View Article

A uniform rod of length ‘l’ is pivoted at one of its ends on a vertical shaft of negligible radius.

A uniform rod of length ‘l’ is pivoted at one of its ends on a vertical shaft of negligible radius. When the shaft rotates at angular... View Article

Which of the following will NOT be observed when a multimeter (operating in resistance measuring mode) probes connected across a component, are just reversed?

1) Multimeter shows NO deflection in both cases i.e. before and after reversing the probes if the chosen component is metal wire. 2) Multimeter... View Article

A particle is moving unidirectionally on a horizontal plane under the action of a constant power supplying energy source.

A particle is moving unidirectionally on a horizontal plane under the action of a constant power supplying energy source. The displacement (s) -... View Article

Amount of solar energy received on the earth’s surface per unit area per unit time is defined a solar constant.

Amount of solar energy received on the earth’s surface per unit area per unit time is defined as solar constant. Dimension of solar... View Article

If a semiconductor photodiode can detect a photon with a maximum wavelength of 400nm

If a semiconductor photodiode can detect a photon with a maximum wavelength of 400nm, then its band gap energy is : Planck’s constant h =... View Article

The mass density of a planet of radius R varies with the distance r

The mass density of a planet of radius R varies with the distance r from its centre as ρ(r) = ρ 0(1-(r2/R2)). Then the gravitational... View Article

A block of mass m attached to a massless spring

A block of mass m attached to a massless spring is performing oscillatory motion of amplitude ‘A’ on a frictionless horizontal plane. If half of... View Article

The speed verses time graph for a particle is shown in the figure.

The speed verses time graph for a particle is shown in the figure. The distance travelled (in m) by the particle during the time interval t = 0... View Article

In a photoelectric effect experiment, the graph of stopping potential V

In a photoelectric effect experiment, the graph of stopping potential V versus reciprocal of wavelength obtained is shown in the figure. As the... View Article

Identify the operation performed by the circuit

Identify the operation performed by the circuit given below: 1) NOT 2) OR 3) AND 4) NAND Answer: (3) Hence option 3 is the answer.... View Article

For a uniform rectangular sheet shown in the figure

For a uniform rectangular sheet shown in the figure, the ratio of moments of inertia about the axes perpendicular to the sheet and passing... View Article

A quantity x is given by (IFv²/WL⁴) in terms of moment of inertia I, force F, velocity v, work W and Length L.

A quantity x is given by (IFv2/WL4) in terms of moment of inertia I, force F, velocity v, work W and Length L. The dimensional formula for x is... View Article

If for all real triplets (a,b,c) and f(x) = a + bx + cx2 then integration of f(x)dx is equal to

a) 2(3f(1)+2f(1/2)) b) (1/3)(f(0)+f(1/2)) c) (1/2) (f(1)+3f(1/2)) d) (1/6)(f(0)+f(1)+4f(1/2)) Solution: f(x) = a+ bx + cx2 f(0) = a, f(1) =... View Article

Negation of the statement: ′√5 is an integer or 5 is irrational′ is

a) √5 is irrational or 5 is an integer.b) √5 is not an integer or 5 is not irrational.c) √5 is an integer and 5 is irrational.d) √5 is not an... View Article

If f’(x) = tan ^-1 (sec x + tan x ), (-π/2) < x < (π/2), and f(0) = 0, then f(1) is equal to:

a) (π+1)/4b) (π+2)/4c) 1/4d) (π-1)/4Solution:f’(x) = tan-1 (sec x + tan x) = tan-1 ((1+ sin x)/cos x ) f’(x) = (π/4) + (x/2)f(x) = (π/4) x+... View Article

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