List of practice Questions

If \( 2^{x+6} = 8^{x+1} \), then the value of \( x \) is:
A car covers one-third of the distance at a speed of 10 km/h, the second third at 20 km/h, and the last third at 60 km/h. Find the average speed of the car.
In which process is the rate of heat transfer maximum?
If the momentum of a body doubles, then its kinetic energy will:
The force that is naturally present in the environment is:
Which color has the minimum frequency in the visible spectrum?
What physical quantity is associated with the change in wavelength of a wave?
Which type of reflection is produced when light reflects from curved and smooth surfaces?
A particle is moving with uniform speed in a circular path. What will be the acceleration of the particle?
Kilowatt-hour is the unit of:
Which of the following is the SI unit of electric current?
A 75 kg person lifts a 25 kg object to a height of 10 meters in 5 minutes. What is the power used?
The emissivity of a substance is:
Unit of surface tension is:
Newton's second law gives the measure of which physical quantity?
If the electric field and the magnetic field are equal in magnitude and perpendicular to each other, then:
Define the functions \( f, g \) and \( h \) from \( \mathbb{R} \) to \( \mathbb{R} \) such that: \[ f(x) = x^2 - 1, \quad g(x) = \sqrt{x^2 + 1} \]
functions f,g and h from R to R
Consider the following statements:

A balloon filled with an air sample occupies \( 3 \, \text{L} \) volume at \( 35^\circ \text{C} \). On lowering the temperature to \( T \), the volume decreases to \( 2.5 \, \text{L} \). The temperature \( T \) is: [Assume \( P \)-constant]

Choose the correct combinations based on their Taxonomical features

Stem tubes, Corn, Rhizome, Cladophyll, Bulbil, Stolon modifications shown by this correct sequence of plants
Pyriform gametes with two laterally attached flagella are found in
Replace the underlined word with the most appropriate SYNONYM:
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A line \( L \) passing through the point \( (2,0) \) makes an angle \( 60^\circ \) with the line \( 2x - y + 3 = 0 \). If \( L \) makes an acute angle with the positive X-axis in the anticlockwise direction, then the Y-intercept of the line \( L \) is? 

If the slope of one line of the pair of lines \( 2x^2 + hxy + 6y^2 = 0 \) is thrice the slope of the other line, then \( h \) = ? 

If the equation of the pair of straight lines passing through the point \( (1, 1) \) and perpendicular to the pair of lines \( 3x^2 + 11xy - 4y^2 = 0 \) is \( ax^2 + 2hxy + by^2 + 2gx + 2fy + 12 = 0 \), then find \( 2(a + h - b - g + f - 12) = ? \)