A force of 7N, making an angle q with the horizantal, acting on an object displaces it by 0.5m along the horizontal direction. If the object gains kinetic energy of 2J, what is the horizontal component of the force?

1) 2N
2) 4N.
3) 1N
4) 14N

3 mole of gas ''X"  and 2 moles of gas "Y" enters from end "P" and "Q" of the cylinder respectively. The cylinder has the area of cross section , shown as under 
The length of the cylinder is 150cm. The gas "X" intermixes with gas "Y" at the point . If the molecular weight of the gases X and Y is 20 and 80 respectively, then what will be the distance of point A from Q?

1) 75 cm
2) 50 cm
3) 37.5
4) 90 cm

Two resistors are connected in series across a potential difference. Resistor A has twice the resistance of resistor B. If the current carried by resistor A is I, what is the current carried by resistor B?

(1) I

(2) 2I

(3) I/2

(4) 4I

The orbital velocity of an artificial satellite in a circular orbit of a height R above earth's surface is v (R is radius of earth). The orbit velocity of a satellite orbiting at an altitude 2R above the earth's surface will be:

1) v/2
2) $$\dfrac {3}{2}v$$
3) $$\dfrac {2}{3}v$$
4) $$\sqrt {\dfrac {2}{3}}v$$

A 10 pF parallel plate capacitor is charged with a 4.0 V battery. While the capacitor is still connected to the battery, a dielectric slab (κ = 5.0) is inserted between the plates to completely fill the gap. How much electric potential energy is stored in the capacitor after inserting the dielectric?

1) 5.3×10⁻¹⁰J
2) 4.0×10−⁻¹⁰J
3) 4.6×10⁻¹⁰J
4) 5.6×10⁻¹⁰J

The coefficient of volume expansion of glycerin is 34 ´ 10^–5 per °C. The fractional change in its density for a 30°C rise in temperature is:

1) 2.02 ´ 10^–2

2) 1.86 ´ 10^–2

3) 1.02 ´ 10^–2

4) 0.86 ´ 10^–2

When a neutral metal sphere is charged by contact with a positively charged glass rod, the sphere
 
 1) loses electrons
 2) gains electrons
 3) loses protons
 4) gains protons

A reference frame attached to the Earth
 
 1) is an inertial frame by definition.
 2) is an inertial frame because Newton's laws of motion are applicable inside it.
 3) is not an inertial frame because the Earth moves with respect to the Sun.
 4) cannot be an inertial frame of reference because of the Earth's rotation and revolution.

 A pendulum having a period of oscillation of 2 seconds is taken on a planet where g is four times that on the earth. The period of the pendulum would be

1) 4 s

2) 2 s

3) 1 s

4) ½ s

 If the temperature of a body is make amount of radiated energy will become :

(1) 16 times 
(2) half
(3) two times
(4) four times