Two identical cells connected in series send 1.0 A current through a 5 Ω resistor. When they are connected in parallel,they send 0.8 A current through the same resistor. What is the internal resistance of the cell?

0.5 Ω
1.0 Ω
1.5 Ω
2.5 Ω

Solution

A cricket ball is hit with a velocity 25 ms^-1, 60° above the horizontal. How far above the ground, ball passes over a fielder 50 m from the bat (consider the ball is struck very close to the ground)?

Take √3=1.7 and g= 10 ms^-2

6.8 m
7 m
5 m
10 m

Solution

Two gases A and B having the same temperature T, same pressure P and same volume V are mixed. If the mixture is at the same temperature T and occupies a volume V,the pressure of the mixture is

Solution

Transfer characteristics [output voltage (V₀) vs input voltage (V₁)] for a base biased transistor in CE configuration is as shown in the figure.For using transistor as a switch, it is used

in region (III)
both in region (I) and (III)
in region (II)
in region (I)

Solution

I → ON

II → OFF

In II^nd state it is used as a amplifier it is active region.

Five resistances have been connected as shown in the figure. The effective resistance between A & B is

14/3 Ω
20/3 Ω
14 Ω
14 Ω

Solution

The wheat stone bridge is balanced, when P/Q = R/S, In the this case ³⁄₆=⁴⁄₈, so bridge is balanced & 7Ω resistance is not effective)

Two bullets are fired horizontally, simultaneously and with different velocities from the same place. Which bullet will hit the ground earlier ?

It would depend upon the weights of the bullets.
The slower one.
The faster one.
Both will reach simultaneously.

Solution

The initial velocity in the vertically downward direction is zero and same height has to be covered.

In the system shown in figure, the pulley is smooth and mass less, the string has a total mass 5g, and the two suspended blocks have masses 25 g and 15 g. The system is released from state ι = 0 and is studied up to stage ι’=0 During the process, the acceleration of block A will be

constant at ^g⁄₉
constant at ^g⁄₄
increasing by factor of 3
increasing by factor of 2

Solution

Considering the two masses and the rope a system,then

Initial net force =[25 - (15 + 5)] g = 5g

Final net force = [(25 + 5) - 15] g = 15 g

⇒(acceleration)_final= 3 (acceleration)_initial

A dip circle is so set that its needle moves freely in the magnetic meridian. In this position, the angle of dip is 40º.Now the dipcircle is rotated so that the plane in which the needle moves makes an angle of 30º with the magnetic meridian.In this position, the needle will dip by an angle

40º
30º
more than 40º
less than 40º

Solution

The belt of an electrostatic generator is 50 cm wide and travels at 30 cm/sec. The belt carries charge into the sphere at a rate corresponding to 10^–4 ampere. What is the surface density of charge on the belt.

6.7 × 10^-5Cm^-2/s
6.7 × 10^-4Cm^-2/s
6.7 × 10^-7Cm^-2/s
6.7 × 10^-8Cm^-2/s

Solution

J = I/A = 10^-4/(0.300.50).

= 6.7 × 10^-4 Cm^-2/s= 6.7 × 10^-4 Am^-2

The de-Broglie wave length of an electron moving in the nth Bohr orbit of radius r is given by

\(\frac{2\pi r}{n}\)
nπr
\(\frac{nr}{2\pi }\)
\(\frac{nr}{\pi }\)

It is desired to photograph the image of an object placed at a distance of 3 m from plane mirror. The camera,which is at a distance of 4.5 m from mirror should be focussed for a distance of

3 m
4.5 m
6 m
7.5 m

Solution

Distance of image from plane mirror = 3m at the back.To photograph the image, camera must be focussed for a distance of 4.5 + 3 = 7.5 m.

According to the Rutherford’s atomic model, the electrons inside the atom are

stationary
not stationary
centralized
None of these

A player caught a cricket ball of mass 150 g moving at a rate of 20 m/s. If the catching process is completed in 0.1s, the force of the blow exerted by the ball on the hand of the player is equal to

150 N
3 N
30 N
300 N

Solution

\(F=\frac{m(v-u)}{t}=\frac{0.15(0-20)}{0.1}=30\: N\)

A double convex lens of focal length 6 cm is made of glass of refractive index 1.5. The radius of curvature of one surface is double that of other surface. The value of small radius of curvature is

6 cm
4.5 cm
9 cm
4 cm

Solution

Directions: Each question contains STATEMENT-1 and STATEMENT-2. Choose the correct answer(ONLY ONE option is correct ) from the following.

Statement -1 : If an ideal gas expands in vacuum in an insulated chamber,ΔQ, ΔU and ΔW all are zero.

Statement-2 : Temperature of the gas remains constant.

(a)Statement-1 is false, Statement-2 is true
(b)Statement-1 is true, Statement-2 is true; Statement -2 is a correct explanation for Statement-1
(c)Statement-1 is true, Statement-2 is true; Statement -2 is not a correct explanation for Statement-1
(d)Statement-1 is true, Statement-2 is false

Solution

(c)Statement-1 is true, Statement-2 is true; Statement -2 is not a correct explanation for Statement-1

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