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Browse complete papersThe molarity of 0.75 mol of calcium hydroxide in 500 ml of solution is:
1.5 M
0.002 M
2 M
0.15 M
Correct answer
1.5 M
The chemical composition of cartridge brass is:
Cu = 60 % + Zn = 30 % + Sn = 10 %
Cu = 70 % + Zn = 30 %
Cu = 50 % + Zn = 50 %
Cu = 60 % + Zn = 30 % + Al = 10 %
Correct answer
Cu = 60 % + Zn = 30 % + Sn = 10 %
Ranjan is moving with his race car on a circular racetrack of radius 200 m and it is banked at an angle of 10°. If the coefficient of friction between the wheels of the race car and the road is 0.2, then find the optimum speed of the race car to avoid wear and tear on its tyres.
16.72 m/s
14.53 m/s
18.78 m/s
20.79 m/s
Correct answer
16.72 m/s
Ram has a mass of 60 kg and he runs up from the ground floor to the first floor of his college through stairs of 40 steps with each step of 40 cm height in 20.0 s. The power supplied by him is ______ (take g = 10 \( m/s^2 \)).
480 W
960 W
720 W
240 W
Correct answer
480 W
The primary heat transfer mode which is responsible for the transfer of heat energy from the Sun to the Earth is:
conduction
convection
convection and conduction
radiation
Correct answer
conduction
If \( \omega \) is an imaginary cube root of unity, \( (1 - \omega + \omega^{2})^{3} \) equals to:
\( 8\omega \)
\( -8 \)
\( 8\omega^{2} \)
\( 8 \)
Correct answer
\( 8\omega \)
If \( x^{y}y^{x} = C \), then \( \frac{dy}{dx} = ? \)
\( \frac{x(y + x \ln y)}{y(x + y \ln x)} \)
\( -\frac{y(y + x \ln y)}{x(x + y \ln x)} \)
\( \frac{y(y + x \ln y)}{x(x + y \ln x)} \)
\( -\frac{x(y + x \ln y)}{y(x + y \ln x)} \)
Correct answer
\( \frac{x(y + x \ln y)}{y(x + y \ln x)} \)
The value of the integral \( \int_{-1/3}^{1/3} \sec (x) \ln \left| \frac{1+x}{1-x} \right| dx \) is:
0
1/3
-1/3
1
Correct answer
0
When \( 50 \text{ ml} \) of water sample was treated with \( 10 \text{ ml} \) of \( 10% \text{ KI} \) solution and then titrated with \( \frac{N}{50} \) Hypo solution using starch as indicator, \( 2.5 \text{ ml} \) of Hypo was used for starch end point. Calculate the strength of free chlorine (in ppm) in the given water sample.
0.001
0.0355
1
35.5
Correct answer
0.001
Suppose a person fires a bullet of mass \( 100.0 \text{ g} \) with a speed of \( 100 \text{ m/s} \) on a target of plywood of thickness \( 20 \text{ cm} \). The bullet emerges from the target with only \( 20% \) of its initial kinetic energy. Then the emergent speed of the bullet is:
\( 40.74 \text{ m/s} \)
\( 44.72 \text{ m/s} \)
\( 34.70 \text{ m/s} \)
\( 38.78 \text{ m/s} \)
Correct answer
\( 40.74 \text{ m/s} \)