Category Archives: IIT JEE
A small block of mass m is resting …
$y=A\sin(\omega t-kx)$ & $y=A’\cos(\omega t-kx)$
A piece of Copper having an internal cavity …
A piece of Copper having an internal cavity weighs 264 g in air and 221 g in water. Density of Copper is 8.8 g/cc and that of water is 1 g/cc. Which of the following is the volume of cavity?
(A) 30 cc
(B) 43 cc
(C) 73 cc
(D) 13 cc
Continue reading A piece of Copper having an internal cavity …
$\int\limits_0^a {\sqrt {\frac{x}{{a – x}}} } dx$
Which of the following is correct concerning the value of $I = \int\limits_0^a {\sqrt {\frac{x}{{a – x}}} } dx $, $a > 0$?
(A) < 1.5 a
(B) $a\pi $
(C) $2a \pi $
(D) > 1.5 a
Continue reading $\int\limits_0^a {\sqrt {\frac{x}{{a – x}}} } dx$
A ‘m’ kg fish swimming at 2 m/s …
A ‘m’ kg fish swimming at 2 m/s catches a ‘m/9’ kg fish coming towards it from opposite direction swimming at 3 m/s. The velocity of the larger fish immediately after the grab is:
(A) $1.5 \hat i $ m/s
(B) $2.1 \hat i $ m/s
(C) $-1.5 \hat i $ m/s
(D) $-2.1 \hat i $ m/s
$v\propto (\frac{Px}{m})^{\frac {1}{3}}$
The speed of car of mass m starting from rest moving in a straight line under the influence of constant power P is given by $v=k (\frac{Px}{m})^{\frac {1}{3}}$ after travelling distance x ignoring energy losses. k is equal to,
(A) 2
(B) $2^\frac {1}{3}$
(C) 3
(D) $3^\frac {1}{3}$
Continue reading $v\propto (\frac{Px}{m})^{\frac {1}{3}}$