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A proton, a deuteron and an α-particle with same kinetic energy enter into a uniform magnetic field at right angle to magnetic field. The ratio of the radii of their respective circular paths is ______.
Concept: undefined >> undefined
A solid metallic cube having a total surface area of 24 m2 is uniformly heated. If its temperature is increased by 10°C, calculate the increase in the volume of the cube.
(Given: α = 5.0 × 10-4°C-1)
Concept: undefined >> undefined
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Newton's universal law of gravitation applies to ______.
Concept: undefined >> undefined
If three equal masses m are placed at the three vertices of an equilateral triangle of side 1/m then what force acts on a particle of mass 2m placed at the centroid?
Concept: undefined >> undefined
A stretched wire 60 cm long is vibrating with its fundamental frequency of 256 Hz. If the length of the wire is decreased to 15 cm and the tension remains the same. Then the fundamental freuqency of the vibration of the wire will be ______.
Concept: undefined >> undefined
A glass flask is filled up to a mark with 50 cc of mercury at 18°C. If the flask and contents are heated to 38°C, how much mercury will be above the mark? (α for glass is 9 × 10-6/°C and coefficient of real expansion of mercury is 180 × 10-6/°C)
Concept: undefined >> undefined
Two unknown resistances are connected in two gaps of a meter-bridge. The null point is obtained at 40 cm from left end. A 30 Ω resistance is connected in series with the smaller of the two resistances, the null point shifts by 20 cm to the right end. The value of smaller resistance Ω is ______.
Concept: undefined >> undefined
In series LCR circuit R = 18 Ω and impedance is 33 Ω An rms voltage 220V is applied across the circuit. The ture power consumed in AC circuit is ______.
Concept: undefined >> undefined
For a particle moving in vertical circle, the total energy at different positions along the path ______.
Concept: undefined >> undefined
From Brewster's law, except for polished metallic surfaces, the polarising angle ______.
Concept: undefined >> undefined
A clock with an iron pendulum keeps the correct time at 15°C. If the room temperature is 20°C, the error in seconds per day will be near ______.
(coefficient of linear expansion of iron is 1.2 × 10-5/°C)
Concept: undefined >> undefined
Two gases A and B are at absolute temperatures of 360 K and 420 K, respectively. The ratio of the average kinetic energy of the molecules of gas B to that of gas A is ______.
Concept: undefined >> undefined
The Young's modulus of brass and steel are respectively 1.0 × 1011 Nm-2 and 2.0 × 1011 Nm-2. A brass wire and a steel wire of the same length are extended by 1 mm each under the same force. If the radii of brass and steel wire are RB and RS respectively, then ______.
Concept: undefined >> undefined
When the temperature of an ideal gas is increased from 27°C to 227°C, its speed is changed from 400 ms-1 to vs, and Then vs is ______.
Concept: undefined >> undefined
When a particle oscillates simple harmonically, its kinetic energy varies periodically. If frequency of the particle is n, then the frequency of the kinetic energy is ______.
Concept: undefined >> undefined
A metal rod Y = 2 × 1012 dyne cm-2 of coefficient of linear expansion 1.6 × 10-5 per °C has its temperature raised by 20°C. The linear compressive stress to prevent the expansion of the rod is ______.
Concept: undefined >> undefined
A conductor lies along the Z-axis at −1.5 ≤ Z ≤ 1.5 m and carries a fixed current of 10.0 A in −az direction as (see figure). For a field B = 3.0 × 10−4`"e"^(−0.2"x")`ay T, find the power required to move the conductor at constant speed to x = 2.0 m, y = 0 in 5 × 10−3 s. Assume parallel motion along the x-axis.

Concept: undefined >> undefined
The extension in a wire obeying Hooke's law is x. The speed of sound in the stretched wire is v. If the extension in the wire is increased to 4x, then the speed of sound in a wire is
Concept: undefined >> undefined
The interference pattern is obtained with two coherent light sources of intensity ratio n. In the interference pattern, the ratio `("I"_"max" - "I"_"min")/("I"_"max" + "I"_"min")` will be ______
Concept: undefined >> undefined
An obstacle is moving towards the source with velocity v. The sound is reflected from the obstacle. If c is the speed of sound and A. is the wavelength, then the wavelength of the reflected wave λr is
Concept: undefined >> undefined
